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

Time bar (total: 20.1s)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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)

sample2.8s (14.1%)

Memory
-11.1MiB live, 2 688.3MiB allocated; 1.6s collecting garbage
Samples
2.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-mult: 1.2s (59.3% of total)
ival-div: 332.0ms (16.2% of total)
ival-add: 250.0ms (12.2% of total)
ival-sqrt: 77.0ms (3.8% of total)
ival-exp: 64.0ms (3.1% of total)
ival-fabs: 47.0ms (2.3% of total)
ival-pi: 37.0ms (1.8% of total)
exact: 22.0ms (1.1% of total)
adjust: 3.0ms (0.1% of total)
ival-assert: 2.0ms (0.1% of total)
Bogosity

explain563.0ms (2.8%)

Memory
1.3MiB live, 814.4MiB allocated; 83ms collecting garbage
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
104.0ms512×0valid
Compiler

Compiled 1 173 to 97 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 38.0ms (49.3% of total)
ival-div: 19.0ms (24.7% of total)
ival-add: 6.0ms (7.8% of total)
ival-exp: 4.0ms (5.2% of total)
ival-fabs: 3.0ms (3.9% of total)
ival-sqrt: 3.0ms (3.9% of total)
ival-pi: 2.0ms (2.6% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess122.0ms (0.6%)

Memory
-5.9MiB live, 137.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054286
1258163
2729115
34195111
03197
05895
113954
252238
3315837
0820135
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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x))) (fabs.f64 x)) (*.f64 (pown3/2s.f64 (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
Symmetry

(abs x)

Compiler

Compiled 103 to 31 computations (69.9% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 103 to 31 computations (69.9% saved)

series44.0ms (0.2%)

Memory
-13.4MiB live, 77.4MiB allocated; 8ms collecting garbage
Counts
31 → 19
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
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (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)))))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))
#s(approx (exp (* (fabs x) (fabs x))) #s(hole binary64 (exp (pow (fabs x) 2))))
#s(approx (* (fabs x) (fabs x)) #s(hole binary64 (pow (fabs x) 2)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (+ (/ 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))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
#s(approx (+ (+ (/ 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))))) #s(hole binary64 (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
#s(approx (/ 1 (fabs x)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 1/2 (pow (fabs x) 3))))
#s(approx (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 3))))
#s(approx (* (/ 1 (fabs x)) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 2))))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 3/4 (pow (fabs x) 5))))
#s(approx (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 5))))
#s(approx (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 4))))
#s(approx (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 15/8 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 6))))
Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (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 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
13.0ms
x
@0
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (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 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
12.0ms
x
@inf
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (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 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))

rewrite155.0ms (0.8%)

Memory
7.6MiB live, 193.9MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01081197
0162717
1473528
03740528
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
50 → 715
Calls
Call 1
Inputs
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#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
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#s(literal 8 binary64)
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#s(approx (/ 1 (fabs x)) #s(hole binary64 (/ 1 (fabs x))))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 1/2 (pow (fabs x) 3))))
#s(approx (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 3))))
#s(approx (* (/ 1 (fabs x)) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 2))))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 3/4 (pow (fabs x) 5))))
#s(approx (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 5))))
#s(approx (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 4))))
#s(approx (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) #s(hole binary64 (/ 15/8 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 7))))
#s(approx (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) #s(hole binary64 (/ 1 (pow (fabs x) 6))))
Outputs
(*.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) x))
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x)))))
(*.f64 (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (-.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3375/512 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (*.f64 (pow.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3375/512 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))) (-.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (pow.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3375/512 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 #s(literal 15/8 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))))) (pow.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64)))) (-.f64 (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64))) (*.f64 (*.f64 (+.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(literal 15/8 binary64))))))
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(ratio-of-squares.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) (fabs.f64 x))
(ratio-of-squares.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) x)
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (exp.f64 (log.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (neg.f64 x))
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (fabs.f64 x))
(ratio-of-squares.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) x)
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (exp.f64 (log.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) x)
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (fabs.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) (fabs.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) (neg.f64 (neg.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) (exp.f64 (log.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) (neg.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) (neg.f64 x))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) (fabs.f64 x))
(ratio-of-squares.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) x)
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) (neg.f64 (neg.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) (exp.f64 (log.f64 (fabs.f64 x))))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) (neg.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) (neg.f64 x))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) (fabs.f64 x))
(ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3 binary64))
(pow.f64 (fabs.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal -4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x)) (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64))))
(/.f64 (ratio-of-squares.f64 (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)) x) (fabs.f64 x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal -4 binary64)) (*.f64 x x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal -3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (fabs.f64 x)) #s(literal 6 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 6 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal -6 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (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)))))) (*.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal -7 binary64)))) (*.f64 #s(literal -3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal -5 binary64)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
#s(approx (exp (* (fabs x) (fabs x))) (pow.f64 (exp.f64 x) x))
#s(approx (* (fabs x) (fabs x)) (*.f64 x x))
#s(approx (fabs x) (fabs.f64 x))
#s(approx x x)
#s(approx (+ (+ (+ (/ 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))))) (-.f64 (-.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal -7 binary64)))) (*.f64 #s(literal -3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal -5 binary64)))))
#s(approx (+ (+ (/ 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))))) (-.f64 (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal -5 binary64)))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (-.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
#s(approx (/ 1 (fabs x)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
#s(approx (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
#s(approx (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -3 binary64)))
#s(approx (* (/ 1 (fabs x)) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
#s(approx (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64)))
#s(approx (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -5 binary64)))
#s(approx (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -4 binary64)))
#s(approx (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64)))
#s(approx (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -7 binary64)))
#s(approx (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (pow.f64 (fabs.f64 x) #s(literal -6 binary64)))

eval4.5s (22.5%)

Memory
109.2MiB live, 6 056.0MiB allocated; 1.3s collecting garbage
Samples
2.5s53 565×0valid
655.0ms10 947×0invalid
Compiler

Compiled 170 616 to 8 993 computations (94.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult: 1.2s (71.2% of total)
ival-div: 396.0ms (23.9% of total)
ival-true: 37.0ms (2.2% of total)
ival-assert: 25.0ms (1.5% of total)
adjust: 16.0ms (1% of total)
ival-add: 4.0ms (0.2% of total)

prune46.0ms (0.2%)

Memory
37.0MiB live, 129.8MiB allocated; 8ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1 74821 750
Fresh000
Picked101
Done000
Total1 74921 751
Accuracy
100.0%
Counts
1 751 → 2
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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.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))))))
Samples
10.0ms256×0valid
Compiler

Compiled 181 to 68 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (60% of total)
ival-div: 1.0ms (20% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.2%)

Memory
-14.6MiB live, 82.4MiB allocated; 14ms collecting garbage
Counts
45 → 55
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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.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
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Outputs
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Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@inf
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11.0ms
x
@0
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (+ (/ 1/2 (* x x)) 1) (/ 1/2 (* x x)) 1/2 (* x x) (pow (fabs x) -1) -1 (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x)))) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))) (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 x))
11.0ms
x
@-inf
((* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (fabs x) x (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (+ (/ 1/2 (* x x)) 1) (/ 1/2 (* x x)) 1/2 (* x x) (pow (fabs x) -1) -1 (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x)))) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))) (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 x))

rewrite155.0ms (0.8%)

Memory
-6.8MiB live, 222.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02373588
03222443
112081735
086481735
Stop Event
iter limit
node limit
iter limit
Counts
100 → 970
Calls
Call 1
Inputs
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#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (-.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))

eval2.1s (10.5%)

Memory
41.7MiB live, 2 743.2MiB allocated; 590ms collecting garbage
Samples
1.3s25 293×0valid
87.0ms1 587×0invalid
Compiler

Compiled 129 755 to 6 811 computations (94.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 767.0ms
ival-mult: 456.0ms (59.4% of total)
ival-div: 264.0ms (34.4% of total)
ival-true: 16.0ms (2.1% of total)
ival-add: 15.0ms (2% of total)
ival-assert: 11.0ms (1.4% of total)
adjust: 7.0ms (0.9% of total)

prune68.0ms (0.3%)

Memory
7.0MiB live, 156.6MiB allocated; 12ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 54431 547
Fresh000
Picked202
Done000
Total1 54631 549
Accuracy
100.0%
Counts
1 549 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
32.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
Samples
29.0ms768×0valid
Compiler

Compiled 253 to 113 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (66.9% of total)
ival-div: 4.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
1.0MiB live, 92.1MiB allocated; 15ms collecting garbage
Counts
55 → 74
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (+.f64 (+.f64 (/.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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) 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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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)))))) #s(hole binary64 (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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)))))) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (pow (fabs x) 5))))))) (sqrt (/ 1 (PI))))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))
#s(approx (exp (* (fabs x) (fabs x))) #s(hole binary64 (exp (pow (fabs x) 2))))
#s(approx (* (fabs x) (fabs x)) #s(hole binary64 (pow (fabs x) 2)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (fabs x)))))
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Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@0
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14.0ms
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11.0ms
x
@inf
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rewrite185.0ms (0.9%)

Memory
-14.1MiB live, 224.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03365094
04363863
117542705
093392705
Stop Event
iter limit
node limit
iter limit
Counts
129 → 1 486
Calls
Call 1
Inputs
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x
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eval3.4s (17.1%)

Memory
-111.3MiB live, 3 698.2MiB allocated; 2.0s collecting garbage
Samples
2.5s38 144×0valid
Compiler

Compiled 125 351 to 7 217 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 1.3s (80.7% of total)
ival-div: 255.0ms (16.4% of total)
ival-true: 22.0ms (1.4% of total)
ival-assert: 15.0ms (1% of total)
adjust: 10.0ms (0.6% of total)

prune56.0ms (0.3%)

Memory
37.0MiB live, 131.3MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1 53341 537
Fresh000
Picked303
Done000
Total1 53641 540
Accuracy
100.0%
Counts
1 540 → 4
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 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
23.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
32.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
30.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
Samples
20.0ms512×0valid
Compiler

Compiled 362 to 169 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.7% of total)
ival-div: 3.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.2%)

Memory
-1.5MiB live, 50.8MiB allocated; 10ms collecting garbage
Counts
53 → 86
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x))
#s(literal -1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 3/4 binary64) x)
#s(literal 3/4 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
(*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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)))))) #s(hole binary64 (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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)))))) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (pow (fabs x) 5))))))) (sqrt (/ 1 (PI))))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) #s(hole binary64 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))
#s(approx (exp (* (fabs x) (fabs x))) #s(hole binary64 (exp (pow (fabs x) 2))))
#s(approx (* (fabs x) (fabs x)) #s(hole binary64 (pow (fabs x) 2)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (fabs x)))))
#s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (pow (fabs x) 5)))))) (* 1/2 (/ 1 (fabs x)))) (pow x 2))))
#s(approx (* (/ -1 (* (* (neg x) x) x)) 1/2) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (/ -1 (* (* (neg x) x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* (neg x) x) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (/ (/ 1/2 x) x) x) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (/ (/ 1/2 x) x) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (/ (+ (* 1/2 (* (* x (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 4))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* x (+ (* 1/2 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (* (pow x 3) (* (exp (pow (fabs x) 2)) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7)))))) (sqrt (/ 1 (PI))))))) (pow x 4))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ 3/4 (* (pow x 4) (fabs x)))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ (+ (* 1/2 x) (* 3/4 (/ 1 (fabs x)))) (pow x 4))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ (+ (* x (+ 1/2 (* (pow x 3) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (pow (fabs x) 7))))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))))
#s(approx (/ (+ (* 1/2 x) (/ 3/4 x)) (pow x 4)) #s(hole binary64 (/ 3/4 (pow x 5))))
#s(approx (/ (+ (* 1/2 x) (/ 3/4 x)) (pow x 4)) #s(hole binary64 (/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 5))))
#s(approx (+ (* 1/2 x) (/ 3/4 x)) #s(hole binary64 (/ 3/4 x)))
#s(approx (+ (* 1/2 x) (/ 3/4 x)) #s(hole binary64 (/ (+ 3/4 (* 1/2 (pow x 2))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ 3/4 x) #s(hole binary64 (/ 3/4 x)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (* (/ (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (fabs x))) (* 15/8 (/ 1 (pow (fabs x) 3))))) (pow x 4)) (sqrt (/ 1 (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (/ (+ (* 1/2 (* (* x (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (fabs x))) (* 15/8 (/ 1 (pow (fabs x) 3))))))) (pow x 4))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (fabs x))) (* 15/8 (/ 1 (pow (fabs x) 3))))))) (pow x 4))))
#s(approx (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ (+ (* 3/4 (/ 1 (fabs x))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))))
#s(approx (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ (+ (* 1/2 x) (+ (* 3/4 (/ 1 (fabs x))) (* 15/8 (/ 1 (pow (fabs x) 3))))) (pow x 4))))
#s(approx (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(hole binary64 (/ (+ (* 3/4 (/ 1 (fabs x))) (+ (* 15/8 (/ 1 (pow (fabs x) 3))) (* x (+ 1/2 (pow x 2))))) (pow x 4))))
#s(approx (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) #s(hole binary64 (/ 3/4 (* (pow x 4) (fabs x)))))
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Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@0
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9.0ms
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rewrite211.0ms (1%)

Memory
-6.5MiB live, 236.0MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04015320
04734201
121233198
086623198
Stop Event
iter limit
node limit
iter limit
Counts
139 → 1 124
Calls
Call 1
Inputs
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Outputs
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -7 binary64))))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3/4 binary64))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/4 binary64))) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))))
#s(approx (/ (+ (* 1/2 x) (/ 3/4 x)) (pow x 4)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) (/ 3/4 x)) (pow x 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/2 x) (/ 3/4 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) (/ 3/4 x)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x)) x))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x))) x))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) x))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 15/8 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) x))
#s(approx (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/4 binary64))) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ 1/2 x) x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (/ (/ 1/2 x) x) 1) x) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (/ (/ 1/2 x) x) 1) #s(literal 1 binary64))
#s(approx (+ (/ (/ 1/2 x) x) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ (* (/ -1 x) (/ -1 x)) (* x x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (neg.f64 (/.f64 (+.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x)))) x)))
#s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) (*.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) x)))
#s(approx (+ (/ (+ (/ (/ 1/2 x) x) 1) x) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)))

eval3.4s (16.9%)

Memory
53.6MiB live, 4 956.8MiB allocated; 931ms collecting garbage
Samples
2.3s46 710×0valid
173.0ms3 466×0invalid
Compiler

Compiled 82 872 to 4 836 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 752.0ms (60.1% of total)
ival-div: 436.0ms (34.9% of total)
ival-true: 29.0ms (2.3% of total)
ival-assert: 19.0ms (1.5% of total)
adjust: 13.0ms (1% of total)
ival-add: 1.0ms (0.1% of total)

prune101.0ms (0.5%)

Memory
5.4MiB live, 195.1MiB allocated; 21ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1 05361 059
Fresh000
Picked404
Done000
Total1 05761 063
Accuracy
100.0%
Counts
1 063 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.5%
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
30.9%
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
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 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
99.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
30.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
23.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
Samples
54.0ms1 280×0valid
Compiler

Compiled 1 979 to 410 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (71.3% of total)
ival-div: 7.0ms (23.8% of total)
ival-true: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

regimes15.0ms (0.1%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) 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)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.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 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Calls

3 calls:

4.0ms
x
4.0ms
(fabs.f64 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
100.0%1(fabs.f64 x)
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%1x
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes12.0ms (0.1%)

Memory
-27.6MiB live, 18.6MiB allocated; 5ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) 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)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
Calls

3 calls:

5.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
99.7%1(fabs.f64 x)
99.7%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))))))
99.7%1x
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes7.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x x)) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/4 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
Outputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
Calls

3 calls:

2.0ms
(fabs.f64 x)
2.0ms
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
32.5%1(fabs.f64 x)
32.5%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))))))
32.5%1x
Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
Outputs
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
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
30.9%1(fabs.f64 x)
30.9%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
30.9%1x
Compiler

Compiled 106 to 34 computations (67.9% saved)

simplify93.0ms (0.5%)

Memory
-55.8MiB live, 80.1MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084322
1190230
2783193
34376186
Stop Event
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 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (/ 1/2 (* (* (neg x) x) (neg x)))) (* (/ 3 4) (* (/ (* (/ 1 x) (/ 1 x)) (* x 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))))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(*.f64 (/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(approx (+ (+ (* (+ (/ 1/2 (* x x)) 1) (pow (fabs x) -1)) (* (/ 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))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/2 binary64))))

derivations343.0ms (1.7%)

Memory
-7.1MiB live, 324.1MiB allocated; 37ms collecting garbage
Stop Event
fuel
Samples
20.0ms512×0valid
Compiler

Compiled 334 to 85 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.7% of total)
ival-div: 3.0ms (30.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess1.5s (7.4%)

Memory
89.4MiB live, 1 837.9MiB allocated; 464ms collecting garbage
Remove

(abs x)

Samples
1.0s21 632×0valid
Compiler

Compiled 1 384 to 562 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-mult: 346.0ms (59.6% of total)
ival-div: 207.0ms (35.7% of total)
ival-true: 13.0ms (2.2% of total)
ival-assert: 8.0ms (1.4% of total)
adjust: 5.0ms (0.9% of total)

end0.0ms (0%)

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

Profiling

Loading profile data...