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

Time bar (total: 11.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

sample2.0s (18.6%)

Memory
81.7MiB live, 3 094.4MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 624.0ms (46.5% of total)
ival-div: 366.0ms (27.3% of total)
ival-add: 104.0ms (7.7% of total)
ival-sqrt: 56.0ms (4.2% of total)
ival-exp: 55.0ms (4.1% of total)
ival-pi: 41.0ms (3.1% of total)
ival-fabs: 36.0ms (2.7% of total)
ival->=: 33.0ms (2.5% of total)
exact: 25.0ms (1.9% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain915.0ms (8.3%)

Memory
-5.4MiB live, 759.9MiB 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
99.0ms512×0valid
Compiler

Compiled 1 174 to 97 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 37.0ms (50.7% of total)
ival-div: 14.0ms (19.2% of total)
ival-add: 6.0ms (8.2% of total)
ival-fabs: 5.0ms (6.9% of total)
ival-sqrt: 4.0ms (5.5% of total)
ival-exp: 3.0ms (4.1% of total)
ival-pi: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess418.0ms (3.8%)

Memory
-5.5MiB live, 267.7MiB 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)

Compiler

Compiled 104 to 31 computations (70.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

simplify401.0ms (3.6%)

Memory
18.3MiB live, 312.2MiB 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))))

localize186.0ms (1.7%)

Memory
-10.5MiB live, 83.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.12109375
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.278007519536884
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
151.0ms256×0valid
Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-div: 91.0ms (66% of total)
ival-mult: 38.0ms (27.6% of total)
ival-add: 3.0ms (2.2% of total)
ival-exp: 2.0ms (1.5% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.7% of total)
ival-fabs: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#s(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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor inf x) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor inf x) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
Calls

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 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
1.0ms
x
@-inf
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))

simplify15.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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))))

rewrite366.0ms (3.3%)

Memory
-5.5MiB live, 324.4MiB allocated
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))))))
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eval142.0ms (1.3%)

Memory
32.2MiB live, 310.5MiB allocated
Compiler

Compiled 94 492 to 3 829 computations (95.9% saved)

prune202.0ms (1.8%)

Memory
-45.4MiB live, 360.4MiB 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)

simplify379.0ms (3.4%)

Memory
48.8MiB live, 412.0MiB 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 #s(literal 1 binary64) (+.f64 (/.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 #s(literal 1 binary64) (+.f64 (/.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))))))

localize95.0ms (0.9%)

Memory
-43.6MiB live, 102.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12147164409086461
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy0.19609067256259613
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
accuracy0.6013621924113586
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
48.0ms256×0valid
Compiler

Compiled 243 to 26 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 10.0ms (30.2% of total)
ival-add: 9.0ms (27.2% of total)
ival-div: 8.0ms (24.2% of total)
ival-exp: 2.0ms (6% of total)
ival-sqrt: 2.0ms (6% of total)
ival-pi: 1.0ms (3% of total)
ival-fabs: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
8 → 84
Calls
Call 1
Inputs
#s(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)))))))) (patch (*.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)))))))) #<representation binary64>) () ())
#s(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))))))) (patch (+.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))))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 x) (fabs.f64 x)) (patch (*.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())
Outputs
#s(alt (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (taylor 0 x) (#s(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)))))))) (patch (*.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)))))))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(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)))))))) (patch (*.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)))))))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(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)))))))) (patch (*.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)))))))) #<representation binary64>) () ())) ())
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#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ())
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))))))))
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
(/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))
1.0ms
x
@0
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))

simplify415.0ms (3.8%)

Memory
26.1MiB live, 588.0MiB 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))
(/ 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)))
(/ 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)))
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 x (*.f64 x #s(literal 3/4 binary64)) #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)))
(+ (* 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)))))
(* (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 x (*.f64 x #s(literal 3/4 binary64)) #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))
(/.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))
(/ 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))
(/ 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))))))
(/ 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 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)))
(/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 x))))))

rewrite321.0ms (2.9%)

Memory
-20.3MiB live, 406.1MiB allocated
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 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))))
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)))))
(-.f64 (/.f64 (pow.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))))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))) (*.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 (pow.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))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))) (*.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)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))) (/.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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.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)))))))) (/.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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) (/.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.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))))))) (/.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))))))
(fma.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))))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.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))))))) #s(literal 1 binary64)) (/.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))))))
(fma.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)) #s(literal 1 binary64)) (/.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))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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)) (+.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))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x 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))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (/.f64 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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)))
(/.f64 #s(literal 1 binary64) (/.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) (/.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)))))
(/.f64 #s(literal -1 binary64) (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 -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))))
(/.f64 #s(literal -15/8 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x (neg.f64 x))))))
(/.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))
(/.f64 (neg.f64 (/.f64 #s(literal 15/8 binary64) x)) (neg.f64 (*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.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))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)))))
(/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))))
(/.f64 #s(literal 3/4 binary64) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)))))
(/.f64 #s(literal -3/4 binary64) (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -3/4 binary64) (neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) x) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x x))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 x x))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x x)))) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x)))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (fabs.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))))
(*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fabs.f64 x))))))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.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)))

eval71.0ms (0.7%)

Memory
31.2MiB live, 126.6MiB allocated
Compiler

Compiled 37 132 to 1 810 computations (95.1% saved)

prune64.0ms (0.6%)

Memory
-24.0MiB live, 117.9MiB 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%
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify360.0ms (3.3%)

Memory
13.3MiB live, 429.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff0
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Rules
19 936×lower-fma.f64
19 936×lower-fma.f32
4 798×lower-*.f32
4 794×lower-*.f64
2 764×lower-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033103
042101
19093
224989
386885
4256283
5270181
6285381
7337681
8403581
9417081
10702081
11757881
12780781
13784081
14784081
0858481
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.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
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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)

localize61.0ms (0.6%)

Memory
10.7MiB live, 103.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (*.f64 x x))
accuracy0
(PI.f64)
accuracy0
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy0.0625
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Samples
43.0ms256×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 12.0ms (34.7% of total)
ival-div: 10.0ms (28.9% of total)
ival-exp: 3.0ms (8.7% of total)
ival-add: 3.0ms (8.7% of total)
ival-sqrt: 3.0ms (8.7% of total)
ival-pi: 1.0ms (2.9% of total)
ival-fabs: 1.0ms (2.9% 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
11.4MiB live, 11.4MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
Outputs
#s(alt (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (taylor 0 x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))) (taylor inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf x) (#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (exp (pow x 2)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
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
@0
(* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x)))
0.0ms
x
@inf
(* x x)
0.0ms
x
@-inf
(/ (sqrt (/ 1 (PI))) (fabs x))

simplify305.0ms (2.8%)

Memory
-16.0MiB live, 457.3MiB allocated
Algorithm
egg-herbie
Rules
25 224×lower-fma.f64
25 224×lower-fma.f32
6 528×lower-*.f64
6 528×lower-*.f32
2 442×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088976
1244854
2865749
33169672
46772672
08101652
Stop Event
iter limit
node limit
Counts
60 → 60
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))))))
(* (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)))
Outputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 x x)))) (*.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 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (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 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x #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 x (*.f64 x (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fma.f64 x x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.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))))) (+ (* 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)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x 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)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.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))))) (+ (* 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)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x 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)) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 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)))))))))
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #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))

rewrite570.0ms (5.2%)

Memory
37.5MiB live, 332.8MiB allocated
Rules
5 784×lower-fma.f64
5 784×lower-fma.f32
4 716×lower-/.f32
4 712×lower-/.f64
4 680×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03392
04286
120873
2213767
0904765
Stop Event
iter limit
node limit
iter limit
Counts
6 → 156
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.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)
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (neg.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) (neg.f64 (neg.f64 (fabs.f64 x))))
(pow.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 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)) (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) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #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)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
(pow.f64 (exp.f64 (fabs.f64 x)) (+.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (/.f64 (fabs.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 (fabs.f64 x)) (exp.f64 (fabs.f64 x))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x (neg.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fabs.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (fabs.f64 x))) (exp.f64 (log.f64 (fabs.f64 x))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.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) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #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) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)))
(*.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) (neg.f64 (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 (pow.f64 (/.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.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)))))
(PI.f64)
(log.f64 (exp.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) (PI.f64))) #s(literal 1/2 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) (/.f64 (PI.f64) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 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 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (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 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.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)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.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 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(*.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 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (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)))

eval28.0ms (0.3%)

Memory
-15.2MiB live, 47.0MiB allocated
Compiler

Compiled 3 750 to 682 computations (81.8% saved)

prune36.0ms (0.3%)

Memory
-27.3MiB live, 63.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2088216
Fresh000
Picked101
Done000
Total2098217
Accuracy
100.0%
Counts
217 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
85.4%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))))
77.6%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
52.3%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
2.2%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
71.1%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
5.5%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 302 to 176 computations (41.7% saved)

simplify308.0ms (2.8%)

Memory
47.9MiB live, 409.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
cost-diff0
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
cost-diff0
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
cost-diff1344
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 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
#s(approx (exp (* x x)) (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 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff0
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff0
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (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
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff0
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.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)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
cost-diff0
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Rules
14 636×lower-fma.f32
14 624×lower-fma.f64
5 864×lower-+.f64
5 864×lower-+.f32
4 812×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061697
095687
1191647
2481623
31536603
44066587
55520577
67129577
77277577
87302577
97302577
09016570
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.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)
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 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)
x
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
(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)
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
#s(approx (exp (* x 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 (*.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)
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(fabs.f64 x)
x
(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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.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)
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 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)
x
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
(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)
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 x)))
#s(approx (exp (* x 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 (*.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)
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (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 x))))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (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 x)))))
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (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 x))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(fabs.f64 x)
x
(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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(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 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))

localize209.0ms (1.9%)

Memory
-42.1MiB live, 228.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
accuracy0.09375
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy0.1875
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy11.564580165678525
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy0
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy0.0625
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy0.11328125
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy14.176269078068628
#s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(PI.f64)
accuracy0
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy0.0625
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy30.030106289792297
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
accuracy0
(PI.f64)
accuracy0
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy0.0625
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy62.573944383202786
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
accuracy0
(PI.f64)
accuracy0
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
accuracy0.26171875
(*.f64 x (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
143.0ms256×0valid
Compiler

Compiled 526 to 49 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-add: 65.0ms (57.3% of total)
ival-mult: 23.0ms (20.3% of total)
ival-div: 11.0ms (9.7% of total)
const: 4.0ms (3.5% of total)
ival-exp: 3.0ms (2.6% of total)
ival-sqrt: 3.0ms (2.6% of total)
ival-fabs: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-22.3MiB live, 30.5MiB allocated
Counts
25 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (patch #s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (patch (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 x x)) (patch (exp.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (patch #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
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#s(alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (* x (sqrt (PI))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 (PI.f64))) (patch (*.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@0
(+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x)))
1.0ms
x
@-inf
(/ (exp (* x x)) (fabs (* x (sqrt (PI)))))
0.0ms
x
@0
(* x (sqrt (PI)))
0.0ms
x
@inf
(/ (exp (* x x)) (fabs (* x (sqrt (PI)))))

simplify387.0ms (3.5%)

Memory
44.4MiB live, 318.2MiB allocated
Algorithm
egg-herbie
Rules
18 650×lower-fma.f64
18 650×lower-fma.f32
5 302×lower-*.f64
5 302×lower-*.f32
2 904×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525022
14634512
215113908
334513507
473753456
084493318
Stop Event
iter limit
node limit
Counts
264 → 264
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))
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(* (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))) (/ 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)))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* 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)))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
Outputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 x x)))) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 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 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 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))
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(/ (+ (* 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))
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(* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.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))))) (+ (* 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 (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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 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))))) (+ (* 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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.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))))) (+ (* 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 (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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 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))))) (+ (* 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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(/ 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 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(+ (* (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 x (*.f64 x (/.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x x #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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)
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 x x)))) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 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 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))))) (fma.f64 x x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.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))))) (+ (* 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 (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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
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(*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 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)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (sqrt (/ 1 (PI))) (fabs x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

rewrite299.0ms (2.7%)

Memory
1.7MiB live, 300.9MiB allocated
Rules
4 462×lower-*.f32
4 448×lower-*.f64
3 620×lower-fma.f32
3 608×lower-fma.f64
2 896×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061597
095567
1382482
23498462
08232448
Stop Event
iter limit
node limit
iter limit
Counts
25 → 423
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 x x))
(*.f64 x x)
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
#s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
#s(approx (exp (* x 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 x (sqrt.f64 (PI.f64)))
(PI.f64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x 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)) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x x)))) (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (exp.f64 (neg.f64 (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 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 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.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) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
(pow.f64 (exp.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (fabs.f64 x)) (+.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) (/.f64 (fabs.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 x) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 (fabs.f64 x)) (exp.f64 (fabs.f64 x))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) x)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x x))))
(fabs.f64 (*.f64 x (neg.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fabs.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
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(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))
(fabs.f64 (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 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 (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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.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)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.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 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.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 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (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 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/216 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)

eval187.0ms (1.7%)

Memory
7.2MiB live, 275.1MiB allocated
Compiler

Compiled 30 520 to 2 294 computations (92.5% saved)

prune238.0ms (2.2%)

Memory
-7.9MiB live, 416.5MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1 261211 282
Fresh123
Picked415
Done000
Total1 266241 290
Accuracy
100.0%
Counts
1 290 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
100.0%
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
85.4%
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
77.6%
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
77.6%
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
52.3%
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
2.2%
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
52.3%
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
52.3%
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
85.4%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))))
52.3%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
11.0%
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (*.f64 x (/.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
31.5%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
31.5%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
5.5%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
81.9%
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
Compiler

Compiled 1 403 to 472 computations (66.4% saved)

regimes40.0ms (0.4%)

Memory
-14.1MiB live, 46.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (*.f64 x (/.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) (*.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
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Calls

3 calls:

18.0ms
(*.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))))))
9.0ms
(fabs.f64 x)
9.0ms
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)

regimes29.0ms (0.3%)

Memory
1.6MiB live, 46.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (*.f64 x (/.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
Outputs
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
Calls

3 calls:

12.0ms
x
8.0ms
(fabs.f64 x)
7.0ms
(*.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
87.6%2x
85.4%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))))))
87.6%2(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes17.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (*.f64 x (/.f64 (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Calls

2 calls:

7.0ms
x
7.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
85.4%1x
85.4%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes57.0ms (0.5%)

Memory
-20.5MiB live, 24.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Outputs
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
Calls

3 calls:

46.0ms
(fabs.f64 x)
5.0ms
x
4.0ms
(*.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
81.9%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))))))
81.9%1x
81.9%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes37.0ms (0.3%)

Memory
-11.1MiB live, 29.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
Outputs
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
Calls

3 calls:

27.0ms
(*.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))))))
4.0ms
(fabs.f64 x)
4.0ms
x
Results
AccuracySegmentsBranch
81.9%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))))))
81.9%1x
81.9%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes12.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.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
77.6%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))))))
77.6%1x
77.6%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes17.0ms (0.2%)

Memory
-29.8MiB live, 24.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (*.f64 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
Calls

3 calls:

9.0ms
(*.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))))))
3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
52.3%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))))))
52.3%1x
52.3%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes5.0ms (0%)

Memory
11.6MiB live, 11.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 109 to 34 computations (68.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0623266746681835e+76
3.774938828395592e+78
Compiler

Compiled 90 to 35 computations (61.1% saved)

simplify10.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
fabs-mul_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096758
1115758
2116758
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
Outputs
#s(approx (* (* (/ 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)))))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) #s(approx (* (* (/ 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)))))))) (*.f64 #s(approx (exp (* x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))
#s(approx (* (* (/ 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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) #s(approx (+ (* (* (fabs x) (sqrt (/ 1 (PI)))) (+ (* x (* x (+ (* (* x x) 1/6) 1/2))) 1)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))))
#s(approx (* (* (/ 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)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))

soundness1.6s (14.3%)

Memory
-6.9MiB live, 1 043.4MiB allocated
Rules
25 224×lower-fma.f64
25 224×lower-fma.f32
24 884×lower-fma.f64
24 884×lower-fma.f32
18 650×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931182
12491088
2763984
32199886
44389862
56044827
67083827
77200827
87884827
08135814
01525022
14634512
215113908
334513507
473753456
084493318
088976
1244854
2865749
33169672
46772672
08101652
03392
04286
120873
2213767
0904765
061597
095567
1382482
23498462
08232448
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
node limit
iter limit
node limit
Compiler

Compiled 440 to 226 computations (48.6% saved)

preprocess100.0ms (0.9%)

Memory
-12.1MiB live, 91.1MiB allocated
Remove

(abs x)

Compiler

Compiled 674 to 216 computations (68% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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