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

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample2.3s (20.4%)

Memory
78.0MiB live, 2 812.1MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 719.0ms (51.6% of total)
ival-div: 282.0ms (20.2% of total)
ival-add: 134.0ms (9.6% of total)
ival-exp: 58.0ms (4.2% of total)
ival-sqrt: 58.0ms (4.2% of total)
ival-pi: 43.0ms (3.1% of total)
ival-fabs: 43.0ms (3.1% of total)
ival->=: 27.0ms (1.9% of total)
exact: 26.0ms (1.9% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain736.0ms (6.5%)

Memory
-16.9MiB live, 915.5MiB 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
129.0ms512×0valid
Compiler

Compiled 1 174 to 97 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 47.0ms (54.5% of total)
ival-div: 15.0ms (17.4% of total)
ival-add: 6.0ms (7% of total)
ival-pi: 5.0ms (5.8% of total)
ival-exp: 4.0ms (4.6% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-fabs: 3.0ms (3.5% of total)
ival-true: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess301.0ms (2.6%)

Memory
14.3MiB live, 407.4MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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)

simplify376.0ms (3.3%)

Memory
12.6MiB live, 416.2MiB 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))))

localize95.0ms (0.8%)

Memory
1.6MiB live, 196.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.1171875
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy0.23275375976844204
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
55.0ms256×0valid
Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 22.0ms (53.5% of total)
ival-div: 8.0ms (19.5% of total)
ival-add: 5.0ms (12.2% of total)
ival-exp: 2.0ms (4.9% of total)
ival-sqrt: 2.0ms (4.9% of total)
ival-pi: 1.0ms (2.4% of total)
ival-fabs: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
0.8MiB live, 37.9MiB 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>) () ())) ())
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#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#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 (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#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 (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#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 (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#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 (/ 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
7.0ms
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)))))
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)))))
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)))

simplify18.0ms (0.2%)

Memory
-0.9MiB live, 35.4MiB 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))))

rewrite341.0ms (3%)

Memory
-12.6MiB live, 424.5MiB 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))))))
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eval162.0ms (1.4%)

Memory
0.4MiB live, 343.7MiB allocated
Compiler

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

prune109.0ms (1%)

Memory
-25.0MiB live, 226.6MiB 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)

simplify405.0ms (3.6%)

Memory
-0.3MiB live, 311.9MiB 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))))))

localize69.0ms (0.6%)

Memory
25.0MiB live, 100.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.24873013835289706
(/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy0.39905801123847795
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))
accuracy0.9372454336946074
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
39.0ms256×0valid
Compiler

Compiled 243 to 26 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (35.6% of total)
ival-div: 8.0ms (28.5% of total)
ival-add: 3.0ms (10.7% of total)
ival-exp: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-pi: 1.0ms (3.6% of total)
ival-fabs: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-10.2MiB live, 26.3MiB 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))))))))
4.0ms
x
@inf
(/ 3/4 (* (fabs x) (* (* x x) (* x x))))
1.0ms
x
@0
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms
x
@-inf
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms
x
@0
(/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))

simplify380.0ms (3.3%)

Memory
7.6MiB live, 404.8MiB 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))))))

rewrite354.0ms (3.1%)

Memory
12.4MiB live, 365.1MiB 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)))

eval100.0ms (0.9%)

Memory
3.1MiB live, 121.1MiB allocated
Compiler

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

prune64.0ms (0.6%)

Memory
26.1MiB live, 103.1MiB 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)

simplify359.0ms (3.1%)

Memory
-37.9MiB live, 361.3MiB 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)

localize66.0ms (0.6%)

Memory
45.9MiB live, 118.6MiB 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))))
accuracy0.0703125
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Samples
50.0ms256×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 15.0ms (36.6% of total)
ival-div: 11.0ms (26.8% of total)
ival-add: 5.0ms (12.2% of total)
ival-exp: 4.0ms (9.8% of total)
ival-sqrt: 4.0ms (9.8% of total)
ival-pi: 1.0ms (2.4% of total)
ival-fabs: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-36.4MiB live, 11.2MiB 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))

simplify302.0ms (2.7%)

Memory
27.0MiB live, 369.3MiB 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))

rewrite511.0ms (4.5%)

Memory
-105.6MiB live, 322.9MiB 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)))

eval26.0ms (0.2%)

Memory
9.2MiB live, 48.0MiB allocated
Compiler

Compiled 3 750 to 682 computations (81.8% saved)

prune31.0ms (0.3%)

Memory
-23.9MiB live, 62.4MiB 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
99.6%
#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 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
82.5%
#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)))))))) (*.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))))
74.9%
#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)))))))) (*.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))))
50.4%
#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 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
80.0%
#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)))))))) #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)))))
2.3%
#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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
69.6%
#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)))))))) #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))))))
5.4%
#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)))))))) #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)

simplify302.0ms (2.7%)

Memory
13.4MiB live, 371.1MiB 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))

localize176.0ms (1.5%)

Memory
7.0MiB live, 243.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy0.1015625
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
accuracy0.19921875
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy12.81689917564491
#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))))
accuracy0.0703125
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy0.12890625
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy15.868134354515657
#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))))
accuracy0.0703125
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy31.191749505267236
#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))))
accuracy0.0703125
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy62.55741646930742
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.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 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
accuracy0.19921875000000003
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
accuracy0.23828125
(*.f64 x (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
87.0ms256×0valid
Compiler

Compiled 526 to 49 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 25.0ms (40.1% of total)
ival-div: 12.0ms (19.2% of total)
ival-add: 10.0ms (16% of total)
ival-exp: 4.0ms (6.4% of total)
const: 4.0ms (6.4% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-fabs: 2.0ms (3.2% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
-15.0MiB live, 25.7MiB allocated
Counts
24 → 252
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>) () ())
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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>) () ())
Outputs
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#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor 0 x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (fabs x)) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (patch (*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 (PI.f64))) (patch (*.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 (PI.f64))) (patch (*.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 (PI.f64))) (patch (*.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (PI))) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 (PI.f64))) (patch (*.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#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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#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#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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#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#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>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#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>) () ())) ())
Calls

63 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)))))
1.0ms
x
@inf
(/ (exp (* x x)) (fabs (* x (sqrt (PI)))))
1.0ms
x
@0
(* x (sqrt (PI)))

simplify360.0ms (3.2%)

Memory
11.1MiB live, 235.5MiB allocated
Algorithm
egg-herbie
Rules
19 254×lower-fma.f64
19 254×lower-fma.f32
4 806×lower-*.f64
4 806×lower-*.f32
3 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464928
14414418
214653814
333533413
466393320
080453201
Stop Event
iter limit
node limit
Counts
252 → 252
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))))))
(/ 1 (fabs (* x (sqrt (PI)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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))
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(*.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))

rewrite336.0ms (3%)

Memory
10.2MiB live, 211.1MiB 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
061589
095559
1382474
23498454
08232440
Stop Event
iter limit
node limit
iter limit
Counts
24 → 405
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))
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)
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.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 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(*.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))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) x)) (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 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(/.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 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.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 #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 (/.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
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(*.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))))

eval238.0ms (2.1%)

Memory
20.2MiB live, 180.8MiB allocated
Compiler

Compiled 29 485 to 2 226 computations (92.5% saved)

prune622.0ms (5.5%)

Memory
-31.1MiB live, 285.3MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1 231211 252
Fresh303
Picked325
Done000
Total1 237231 260
Accuracy
100.0%
Counts
1 260 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
#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 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
99.6%
#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 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
74.6%
#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))))))
82.1%
#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)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (*.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))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
74.6%
#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)))))
50.0%
#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)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
2.3%
#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)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
50.4%
#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 (/.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))))
50.0%
#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 (/.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)))))
82.5%
#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)))))))) (*.f64 #s(approx (exp (* x x)) (fma.f64 x (*.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))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
50.4%
#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 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))
13.0%
#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))))
80.0%
#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)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
80.0%
#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)))))))) #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)))))))
80.0%
#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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (fabs.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
80.0%
#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)))))))) #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))))))))
80.0%
#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)))))))) #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)))))
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)))))
80.0%
#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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))))
2.3%
#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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
80.0%
#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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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 #s(literal 1 binary64) (fabs.f64 x))) (fabs.f64 x)))))
80.0%
#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)))))))) #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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
80.0%
#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)))))))) #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 1 337 to 446 computations (66.6% saved)

regimes27.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 x (*.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))) #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 x (*.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))) #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 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))) (+.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 #s(literal 1 binary64) (fabs.f64 x))) (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 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* 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 (/.f64 #s(literal 1 binary64) (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))) (fabs.f64 x) (/.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) (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 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (+.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)))) 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 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 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)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Calls

3 calls:

9.0ms
(fabs.f64 x)
9.0ms
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
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)

regimes26.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
29 → 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 x (*.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))) #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 x (*.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))) #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 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))) (+.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 #s(literal 1 binary64) (fabs.f64 x))) (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 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* 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 (/.f64 #s(literal 1 binary64) (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))) (fabs.f64 x) (/.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) (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 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (+.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)))) 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 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 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))))))
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:

8.0ms
(fabs.f64 x)
8.0ms
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
99.6%1x
99.6%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))))))
99.6%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes94.0ms (0.8%)

Memory
-21.3MiB live, 39.2MiB 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 x (*.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))) #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 x (*.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))) #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 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))) (+.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 #s(literal 1 binary64) (fabs.f64 x))) (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 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* 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 (/.f64 #s(literal 1 binary64) (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))) (fabs.f64 x) (/.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) (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 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (+.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)))) 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 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 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)))))))) #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:

77.0ms
(fabs.f64 x)
8.0ms
x
6.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
86.8%2x
82.5%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))))))
86.8%2(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes28.0ms (0.2%)

Memory
-15.7MiB live, 22.1MiB allocated
Counts
26 → 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 x (*.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))) #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 x (*.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))) #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 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))) (+.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 #s(literal 1 binary64) (fabs.f64 x))) (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 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* 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 (/.f64 #s(literal 1 binary64) (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))) (fabs.f64 x) (/.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) (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 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (+.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)))) 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 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 x (*.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))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Calls

2 calls:

18.0ms
(fabs.f64 x)
7.0ms
x
Results
AccuracySegmentsBranch
82.5%1x
82.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes43.0ms (0.4%)

Memory
-12.2MiB live, 23.4MiB allocated
Counts
16 → 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 x (*.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))) #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 (*.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

3 calls:

5.0ms
(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
82.1%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
82.1%1x
82.1%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes15.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB 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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
Calls

3 calls:

5.0ms
(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
80.0%1x
80.0%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))))))
80.0%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes13.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB 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:

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
80.0%1x
80.0%1(fabs.f64 x)
80.0%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))))))
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes22.0ms (0.2%)

Memory
-20.0MiB live, 17.0MiB 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:

13.0ms
(*.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
74.6%1x
74.6%1(fabs.f64 x)
74.6%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))))))
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes11.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB 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 (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
Calls

3 calls:

3.0ms
(fabs.f64 x)
3.0ms
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
50.4%1x
50.4%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))))))
50.4%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes15.0ms (0.1%)

Memory
-36.0MiB live, 11.3MiB allocated
Counts
4 → 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)))))
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:

10.0ms
x
2.0ms
(fabs.f64 x)
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
50.0%1x
50.0%1(fabs.f64 x)
50.0%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))))))
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes5.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
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)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
Calls

3 calls:

1.0ms
(fabs.f64 x)
1.0ms
x
1.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
2.3%1x
2.3%1(fabs.f64 x)
2.3%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))))))
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))))))
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:

1.0ms
(fabs.f64 x)
1.0ms
x
1.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
2.3%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))))))
2.3%1x
2.3%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
4.7816110211584365e+58
9.444944469935175e+61
Compiler

Compiled 90 to 35 computations (61.1% saved)

simplify12.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative_binary64
fabs-mul_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061084
11281084
21291084
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)) (/.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))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999998584394024780232100424968164183088578953216 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)))))))) #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 (*.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))) (/.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 (*.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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 (/.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)))))))) (/.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)))))))) #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)) #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)) (/.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))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999998584394024780232100424968164183088578953216 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)))))))) #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))))))))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999998584394024780232100424968164183088578953216 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #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)))))) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* 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 (*.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))) (/.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(approx (exp (* x x)) (fma.f64 x (*.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))) #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 x (*.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))) #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 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (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 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x 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 (/.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)))))))) (/.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)))))))) #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)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))

soundness1.7s (14.9%)

Memory
-17.0MiB live, 1 046.2MiB allocated
Rules
25 224×lower-fma.f64
25 224×lower-fma.f32
24 884×lower-fma.f64
24 884×lower-fma.f32
19 254×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464928
14414418
214653814
333533413
466393320
080453201
0931182
12491088
2763984
32199886
44389862
56044827
67083827
77200827
87884827
08135814
061589
095559
1382474
23498454
08232440
088976
1244854
2865749
33169672
46772672
08101652
03392
04286
120873
2213767
0904765
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
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 906 to 678 computations (64.4% saved)

preprocess129.0ms (1.1%)

Memory
21.2MiB live, 179.6MiB allocated
Remove

(abs x)

Compiler

Compiled 784 to 222 computations (71.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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