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

Time bar (total: 13.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 107 to 33 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-pi: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (17.2%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 733.0ms (45.8% of total)
ival-div: 408.0ms (25.5% of total)
ival-add: 121.0ms (7.6% of total)
ival-sqrt: 83.0ms (5.2% of total)
ival-exp: 80.0ms (5% of total)
ival-fabs: 47.0ms (2.9% of total)
ival->=: 47.0ms (2.9% of total)
ival-pi: 46.0ms (2.9% of total)
const: 31.0ms (1.9% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess250.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
3024×/-lowering-/.f32
3024×/-lowering-/.f64
3016×*-lowering-*.f32
3016×*-lowering-*.f64
1920×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
054229
1220142
2547106
3247796
03476
19547
234335
3145131
4397331
5618730
6772530
0805730
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ 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))))))
Outputs
(* (* (/ 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 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
Call 2
Inputs
(* (* (/ 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 (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))))
(neg (* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x))))))))
Outputs
(* (* (/ 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))))))
(* (rsqrt (PI)) (* (pow (exp x) x) (fma 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x)))))))
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))))
(* (rsqrt (PI)) (* (pow (exp x) x) (fma 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x)))))))
(neg (* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x))))))))
(* (* (rsqrt (PI)) (pow (exp x) x)) (fnmsub 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x))))))
Symmetry

(abs x)

explain331.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
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-(*.f64 (*.f64 (/.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 #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-(*.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 (+.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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
00-0-(fabs.f64 x)
00-0-#s(literal 4 binary64)
00-0-(*.f64 (fabs.f64 x) (fabs.f64 x))
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 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
00-0-(PI.f64)
00-0-#s(literal 15 binary64)
00-0-(exp.f64 (*.f64 (fabs.f64 x) (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-(/.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 (/.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 #s(literal 3 binary64) #s(literal 4 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 8 binary64)
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-(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
Results
152.0ms512×0valid
Compiler

Compiled 1174 to 95 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 46.0ms (51.2% of total)
ival-div: 19.0ms (21.1% of total)
ival-add: 9.0ms (10% of total)
ival-sqrt: 4.0ms (4.5% of total)
ival-pi: 3.0ms (3.3% of total)
ival-exp: 3.0ms (3.3% of total)
ival-fabs: 3.0ms (3.3% of total)
const: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 35 to 20 computations (42.9% saved)

prune1.0ms (0%)

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

Compiled 35 to 20 computations (42.9% saved)

simplify231.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))
✓cost-diff256
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
Rules
3942×*-lowering-*.f32
3942×*-lowering-*.f64
2582×/-lowering-/.f32
2582×/-lowering-/.f64
2224×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
020148
161140
2256140
3901140
44170140
56692134
67651134
08046134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))
1
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(/ 1 (* x x))
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))
1/2
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
Outputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
1
#s(literal 1 binary64)
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(+ 3/4 (/ 15/8 (* x x)))
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))
3/4
#s(literal 3/4 binary64)
(/ 15/8 (* x x))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
15/8
#s(literal 15/8 binary64)

localize73.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy98.5%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
46.0ms256×0valid
Compiler

Compiled 159 to 21 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 8.0ms (31.2% of total)
ival-mult: 7.0ms (27.3% of total)
ival-add: 4.0ms (15.6% of total)
ival-exp: 2.0ms (7.8% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-pi: 1.0ms (3.9% of total)
ival-fabs: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
8 → 84
Calls
Call 1
Inputs
#<alt (* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))>
#<alt (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))>
#<alt (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))>
#<alt (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))>
#<alt (sqrt (PI))>
#<alt (/ 15/8 (* x x))>
#<alt (/ 1 (* x x))>
#<alt (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))>
Outputs
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))>
#<alt (/ 15/8 (pow x 4))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))>
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))>
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 15/8 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 15/8 (pow x 4))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
1.0ms
x
@0
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
1.0ms
x
@0
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
1.0ms
x
@-inf
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
0.0ms
x
@0
(/ 15/8 (* x x))

rewrite373.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4544×*-lowering-*.f32
4544×*-lowering-*.f64
3968×/-lowering-/.f32
3968×/-lowering-/.f64
1850×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020109
115289
2162889
0833489
Stop Event
1×iter limit
1×node limit
Counts
8 → 411
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))
(sqrt (PI))
(/ 15/8 (* x x))
(/ 1 (* x x))
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(fma.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
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(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (/.f64 (*.f64 x x) #s(literal 15/8 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (/.f64 (*.f64 x x) #s(literal 15/8 binary64))))) x))
(*.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (/.f64 (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (/.f64 (*.f64 x x) #s(literal 15/8 binary64))))) (/.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) x))
(*.f64 (/.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (/.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x))

simplify293.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4262×*-lowering-*.f32
4262×*-lowering-*.f64
1664×sum4-define
1476×*-commutative
1140×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01031042
1263977
2876936
32920885
45794865
56906865
67671865
77691865
87694865
08184865
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(/ 15/8 (pow x 6))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))
(/ 15/8 (pow x 6))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ 15/8 (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))
1/2
(+ 1/2 (* 3/4 (/ 1 (pow x 2))))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
1/2
(+ 1/2 (* 3/4 (/ 1 (pow x 2))))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 15/8 (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ 3/4 (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ 3/4 (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
Outputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (/.f64 x (fabs.f64 x)))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 35/16 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(/ 15/8 (pow x 4))
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x)))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x)))
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x)))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 15/8 (pow x 2))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 15/8 (pow x 4))
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))

eval71.0ms (0.5%)

Compiler

Compiled 26295 to 2071 computations (92.1% saved)

prune58.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5237530
Fresh000
Picked011
Done000
Total5238531
Accuracy
100.0%
Counts
531 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶0.6%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
▶0.9%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
▶1.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
▶99.7%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
99.7%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
▶99.7%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
99.6%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Compiler

Compiled 379 to 232 computations (38.8% saved)

simplify210.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff128
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
✓cost-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Rules
3662×*-lowering-*.f32
3662×*-lowering-*.f64
2464×/-lowering-/.f32
2464×/-lowering-/.f64
2104×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038391
1124348
2472348
31440348
43714348
54165348
64780348
75582348
85977348
95998348
107771348
08106348
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
(+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x)))
1
(/ (+ 1/2 (/ 3/4 (* x x))) (* x x))
(+ 1/2 (/ 3/4 (* x x)))
1/2
(/ 3/4 (* x x))
3/4
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x))))) (fabs x))
(* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x)))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ 15/8 (* (* x (* x x)) (* x (* x x))))
15/8
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
x
(* x x)
(fabs x)
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x (* x x)) (* x (* x x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(+ 15/8 (* 21/8 (* x x)))
15/8
(* 21/8 (* x x))
21/8
(* x x)
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))) (* (* x (* x x)) (* x (* x x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16)))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))
15/8
(* (* x x) (+ 21/8 (* (* x x) 35/16)))
(* x x)
(+ 21/8 (* (* x x) 35/16))
21/8
(* (* x x) 35/16)
35/16
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) 1)
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
1
Outputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
(+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ (+ 1/2 (/ 3/4 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1/2 (/ 3/4 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(/ 3/4 (* x x))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
3/4
#s(literal 3/4 binary64)
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x))))) (fabs x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(/ 15/8 (* (* x (* x x)) (* x (* x x))))
(/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
15/8
#s(literal 15/8 binary64)
(* (* x (* x x)) (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(fabs x)
(fabs.f64 x)
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x (* x x)) (* x (* x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(+ 15/8 (* 21/8 (* x x)))
(+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64))))
15/8
#s(literal 15/8 binary64)
(* 21/8 (* x x))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
21/8
#s(literal 21/8 binary64)
(* x x)
(*.f64 x x)
(* (* x (* x x)) (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))) (* (* x (* x x)) (* x (* x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))
(+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64))))))
15/8
#s(literal 15/8 binary64)
(* (* x x) (+ 21/8 (* (* x x) 35/16)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))
(* x x)
(*.f64 x x)
(+ 21/8 (* (* x x) 35/16))
(+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64))))
21/8
#s(literal 21/8 binary64)
(* (* x x) 35/16)
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
35/16
#s(literal 35/16 binary64)
(* (* x (* x x)) (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) 1)
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
1
#s(literal 1 binary64)

localize235.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(exp.f64 (*.f64 x x))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
✓accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓accuracy91.3%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))
✓accuracy17.4%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓accuracy99.8%
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
✓accuracy96.5%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓accuracy48.9%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))
✓accuracy99.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))
✓accuracy98.6%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy98.6%
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
146.0ms256×0valid
Compiler

Compiled 447 to 39 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 35.0ms (42.3% of total)
ival-add: 23.0ms (27.8% of total)
ival-div: 15.0ms (18.1% of total)
ival-sqrt: 4.0ms (4.8% of total)
ival-exp: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
ival-fabs: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.2%)

Counts
25 → 252
Calls
Call 1
Inputs
#<alt (* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))))>
#<alt (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))>
#<alt (/ (exp (* x x)) (sqrt (PI)))>
#<alt (exp (* x x))>
#<alt (/ (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x))))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x)))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x (* x x)) (* x (* x x))))>
#<alt (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x))))>
#<alt (/ (sqrt (/ 1 (PI))) (fabs x))>
#<alt (/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))) (* (* x (* x x)) (* x (* x x))))>
#<alt (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16)))))>
#<alt (* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) 1)>
#<alt (sqrt (PI))>
#<alt (/ 3/4 (* x x))>
#<alt (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))>
#<alt (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 15/8 (* (* x (* x x)) (* x (* x x))))>
#<alt (* (* x (* x x)) (* x (* x x)))>
#<alt (* 21/8 (* x x))>
#<alt (* (* x x) 35/16)>
#<alt (PI)>
#<alt (fabs x)>
Outputs
#<alt (* 3/4 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 5/4 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 4))>
#<alt (/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 15/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))) (pow x 4))>
#<alt (/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 11/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 4))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))>
#<alt (* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 2))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))>
#<alt (/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (sqrt (/ 1 (PI))) (fabs x))
3.0ms
x
@0
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))) (* (* x (* x x)) (* x (* x x))))
2.0ms
x
@-inf
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
1.0ms
x
@0
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x))))) (fabs x))
1.0ms
x
@0
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))))

rewrite379.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3628×/-lowering-/.f32
3628×/-lowering-/.f64
3018×*-lowering-*.f32
3018×*-lowering-*.f64
1652×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038230
1276199
22746199
08278199
Stop Event
1×iter limit
1×node limit
Counts
25 → 972
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x))))) (fabs x))
(* (sqrt (/ 1 (PI))) (/ 15/8 (* (* x (* x x)) (* x (* x x)))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x (* x x)) (* x (* x x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16))))) (* (* x (* x x)) (* x (* x x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* (* x x) (+ 21/8 (* (* x x) 35/16)))))
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) 1)
(sqrt (PI))
(/ 3/4 (* x x))
(/ (+ 1/2 (/ 3/4 (* x x))) (* x x))
(+ 1 (/ (+ 1/2 (/ 3/4 (* x x))) (* x x)))
(* x (* x x))
(/ 15/8 (* (* x (* x x)) (* x (* x x))))
(* (* x (* x x)) (* x (* x x)))
(* 21/8 (* x x))
(* (* x x) 35/16)
(PI)
(fabs x)
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))))
(fma.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (fabs.f64 x))) #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) (fabs.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))) (*.f64 (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))) (*.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 15/8 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (*.f64 x x) #s(literal 15/8 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))
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(*.f64 (*.f64 x #s(literal 21/8 binary64)) x)
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(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
(*.f64 #s(literal 35/16 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 35/16 binary64)) x)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
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(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
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(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
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(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
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(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

simplify306.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3338×*-lowering-*.f32
3338×*-lowering-*.f64
2760×+-lowering-+.f64
2760×+-lowering-+.f32
2232×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01543076
14602879
216652666
343382544
463612453
579442453
082782453
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 3/4 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 5/4 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 4))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 15/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))) (pow x 4))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 11/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 4))
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(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
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(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
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(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
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(exp (pow x 2))
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(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))
(* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 4))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ 3/4 (pow x 4))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))
(/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
(* 3/4 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 3/4 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 5/4 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 4))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 5/4 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 15/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))) (pow x 4))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 15/8 binary64)) (fabs.f64 x)) (/.f64 #s(literal 5/4 binary64) (fabs.f64 x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 11/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 4))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/8 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 5/4 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64)))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x))))
(* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))))
(* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 2))
(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
(/ 3/4 (pow x 4))
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x)
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ 3/4 (pow x 4))
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x)
(/ (+ 3/4 (* 1/2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))))
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 21/8 (pow x 2))
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval245.0ms (1.8%)

Compiler

Compiled 57512 to 4358 computations (92.4% saved)

prune224.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1975121987
Fresh112
Picked415
Done011
Total1980151995
Accuracy
100.0%
Counts
1995 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.7%
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
3.0%
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
▶99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶1.8%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
▶2.3%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
▶85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
56.9%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
56.9%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
✓99.7%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
✓100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
56.9%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
99.6%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Compiler

Compiled 844 to 456 computations (46% saved)

simplify337.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))))
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff128
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Rules
5668×*-lowering-*.f32
5668×*-lowering-*.f64
3166×+-lowering-+.f64
3166×+-lowering-+.f32
2040×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046530
1150462
2601449
32828449
08108449
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x)))) (* x x))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(+ 35/16 (/ 21/8 (* x x)))
35/16
(/ 21/8 (* x x))
21/8
(* x x)
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x)) 1)
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI)))
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))
1
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))
(* (* x x) (+ 1/2 (* (* x x) 1/6)))
(+ 1/2 (* (* x x) 1/6))
1/2
(* (* x x) 1/6)
1/6
(sqrt (PI))
(PI)
(fabs x)
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(pow (PI) -1/2)
(PI)
-1/2
(- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))
225/64
(* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))
(* x (* x (+ 21/8 (* (* x x) 35/16))))
x
(* x (+ 21/8 (* (* x x) 35/16)))
(+ 21/8 (* (* x x) 35/16))
21/8
(* (* x x) 35/16)
(* x x)
35/16
(* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))
(fabs x)
(- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))
15/8
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
Outputs
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x)))) (* x x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (fabs.f64 x)))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (fabs.f64 x)))
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(+ 35/16 (/ 21/8 (* x x)))
(+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))
35/16
#s(literal 35/16 binary64)
(/ 21/8 (* x x))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
21/8
#s(literal 21/8 binary64)
(* x x)
(*.f64 x x)
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x)) 1)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64)))
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(* (* x x) (+ 1/2 (* (* x x) 1/6)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(+ 1/2 (* (* x x) 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) 1/6)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64)))))))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64))))))) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64)))))) (fabs.f64 x)))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64))))))))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))
(+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64)))))))
225/64
#s(literal 225/64 binary64)
(* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))
(*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x (+ 21/8 (* (* x x) 35/16))))
(*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))
x
(* x (+ 21/8 (* (* x x) 35/16)))
(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))
(+ 21/8 (* (* x x) 35/16))
(+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))
21/8
#s(literal 21/8 binary64)
(* (* x x) 35/16)
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
(* x x)
(*.f64 x x)
35/16
#s(literal 35/16 binary64)
(* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64))))))
(fabs x)
(fabs.f64 x)
(- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))
(+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -21/8 binary64) (*.f64 (*.f64 x x) #s(literal -35/16 binary64)))))
15/8
#s(literal 15/8 binary64)
(* (* x (* x x)) (* x (* x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))

localize253.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
✓accuracy26.3%
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))))
✓accuracy17.4%
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy97.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓accuracy99.9%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
✓accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓accuracy99.6%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
✓accuracy98.4%
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(exp.f64 (*.f64 x x))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
147.0ms256×0valid
Compiler

Compiled 552 to 47 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 25.0ms (33.9% of total)
ival-div: 16.0ms (21.7% of total)
ival-pow: 9.0ms (12.2% of total)
ival-add: 6.0ms (8.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (5.4% of total)
ival-sqrt: 4.0ms (5.4% of total)
ival-exp: 2.0ms (2.7% of total)
ival-sub: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
ival-fabs: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.1%)

Counts
25 → 240
Calls
Call 1
Inputs
#<alt (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))>
#<alt (/ (exp (* x x)) (sqrt (PI)))>
#<alt (exp (* x x))>
#<alt (* x x)>
#<alt (/ (sqrt (/ 1 (PI))) (fabs x))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (PI)>
#<alt (/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x)))) (* x x))>
#<alt (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x))))>
#<alt (* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x)) 1)>
#<alt (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x))>
#<alt (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI)))>
#<alt (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))>
#<alt (/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))>
#<alt (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))))>
#<alt (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))>
#<alt (pow (PI) -1/2)>
#<alt (sqrt (PI))>
#<alt (fabs x)>
#<alt (/ 21/8 (* x x))>
#<alt (* (* x x) 1/6)>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))>
#<alt (* (* x x) 35/16)>
#<alt (* x (+ 21/8 (* (* x x) 35/16)))>
Outputs
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))>
#<alt (/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))>
#<alt (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))>
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (/ (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))>
#<alt (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))>
#<alt (* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* 35/16 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))))>
#<alt (* 225/64 (sqrt (/ 1 (PI))))>
#<alt (+ (* -441/64 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 225/64 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 225/64 (sqrt (/ 1 (PI)))) (* (pow x 4) (+ (* -735/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -441/64 (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 225/64 (sqrt (/ 1 (PI)))) (* (pow x 4) (+ (* -441/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -735/64 (sqrt (/ 1 (PI)))) (* -1225/256 (* (pow x 2) (sqrt (/ 1 (PI))))))))))>
#<alt (* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))>
#<alt (* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (/ 21/8 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 21/8 x)>
#<alt (* x (+ 21/8 (* 35/16 (pow x 2))))>
#<alt (* x (+ 21/8 (* 35/16 (pow x 2))))>
#<alt (* x (+ 21/8 (* 35/16 (pow x 2))))>
#<alt (* 35/16 (pow x 3))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
#<alt (* 35/16 (pow x 3))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
1.0ms
x
@0
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
1.0ms
x
@inf
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x)) 1)
1.0ms
x
@-inf
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
1.0ms
x
@inf
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x)))) (* x x))

rewrite383.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3588×*-lowering-*.f32
3588×*-lowering-*.f64
2012×fma-lowering-fma.f32
2012×fma-lowering-fma.f64
1876×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046304
1334237
23136229
08150229
Stop Event
1×iter limit
1×node limit
Counts
25 → 724
Calls
Call 1
Inputs
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x)))) (* x x))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 35/16 (/ 21/8 (* x x))))
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x)) 1)
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) (fabs x))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI)))
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (* x (* x x)) (* x (* x x))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(pow (PI) -1/2)
(sqrt (PI))
(fabs x)
(/ 21/8 (* x x))
(* (* x x) 1/6)
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))
(* (* x x) 35/16)
(* x (+ 21/8 (* (* x x) 35/16)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(neg.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (fabs.f64 x)))
(/.f64 (exp.f64 (*.f64 x x)) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (neg.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (fabs.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 x x) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))) (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64)) (*.f64 x x)))
(exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 x) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) x)) x)
(*.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(pow.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 x)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
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simplify288.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4264×*-lowering-*.f32
4264×*-lowering-*.f64
2696×+-lowering-+.f64
2696×+-lowering-+.f32
1826×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01913461
16253183
221432915
344152737
478802737
081322737
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
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1
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(exp (pow x 2))
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(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
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(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
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1
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(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
(* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(/ 21/8 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 21/8 x)
(* x (+ 21/8 (* 35/16 (pow x 2))))
(* x (+ 21/8 (* 35/16 (pow x 2))))
(* x (+ 21/8 (* 35/16 (pow x 2))))
(* 35/16 (pow x 3))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(* 35/16 (pow x 3))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
Outputs
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
(* (sqrt (/ 1 (PI))) (exp (pow x 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(* 35/16 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x))) (*.f64 x x))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x))) (*.f64 x x)))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x))) (*.f64 x x)))
(/ (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x))) (*.f64 x x)))
(* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x)))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x)))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
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(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
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(* 225/64 (sqrt (/ 1 (PI))))
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(* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal -1225/256 binary64) (pow.f64 x #s(literal 8 binary64))))
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(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
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(* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal -1225/256 binary64) (pow.f64 x #s(literal 8 binary64))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal -1225/256 binary64) (/.f64 #s(literal -735/64 binary64) (*.f64 x x)))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal -441/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1225/256 binary64) (/.f64 #s(literal -735/64 binary64) (*.f64 x x))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal -441/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1225/256 binary64) (/.f64 #s(literal -735/64 binary64) (*.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
(/.f64 #s(literal 21/8 binary64) (*.f64 x x))
(/ 21/8 (pow x 2))
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(/ 21/8 (pow x 2))
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(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
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(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(* 1/6 (pow x 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/6 (pow x 6))
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(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* 21/8 x)
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(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))
(* x (+ 21/8 (* 35/16 (pow x 2))))
(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))
(* x (+ 21/8 (* 35/16 (pow x 2))))
(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))
(* 35/16 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* 35/16 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* (pow x 3) (+ 35/16 (* 21/8 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))))

eval416.0ms (3.1%)

Compiler

Compiled 55938 to 4191 computations (92.5% saved)

prune235.0ms (1.7%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1648231671
Fresh268
Picked325
Done112
Total1654321686
Accuracy
100.0%
Counts
1686 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶2.3%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
1.8%
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
85.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
85.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
79.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
85.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
56.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
4.7%
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
▶4.7%
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
85.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
2.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
4.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
2.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
85.1%
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
2.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
▶85.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
85.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
7.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
85.5%
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
12.2%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
4.6%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
✓85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
▶79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
56.9%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
✓100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
85.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
85.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
56.9%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
▶99.6%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Compiler

Compiled 2072 to 1065 computations (48.6% saved)

simplify312.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))))))
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64))))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff128
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(PI.f64)
✓cost-diff0
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
✓cost-diff0
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Rules
5354×/-lowering-/.f32
5354×/-lowering-/.f64
3478×*-lowering-*.f32
3478×*-lowering-*.f64
2166×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059658
1181579
2642560
32844560
46124560
09474560
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (exp (* x x)) (fabs (* (sqrt (PI)) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (exp (* x x)) (fabs (* (sqrt (PI)) x)))
(exp (* x x))
(* x x)
x
(fabs (* (sqrt (PI)) x))
(* (sqrt (PI)) x)
(sqrt (PI))
(PI)
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))
1
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))
1/2
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(/ (pow (PI) -1/2) (fabs x))
(pow (PI) -1/2)
(PI)
-1/2
(fabs x)
x
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x)) 1)
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI)))
(+ 1 (* (* x x) (+ 1 (* (* x x) 1/2))))
1
(* (* x x) (+ 1 (* (* x x) 1/2)))
(* x x)
x
(+ 1 (* (* x x) 1/2))
(* (* x x) 1/2)
1/2
(sqrt (PI))
(PI)
(fabs x)
(/ 1 (/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))))
1
(/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))
(fabs x)
x
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6)))))))
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))
(* x x)
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6)))))
(* (* x x) (+ 1/2 (* x (* x 1/6))))
(+ 1/2 (* x (* x 1/6)))
1/2
(* x (* x 1/6))
(* x 1/6)
1/6
(sqrt (PI))
(PI)
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8)))))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(pow (PI) -1/2)
(PI)
-1/2
(- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))
225/64
(* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))
(* x (* x (+ 21/8 (* (* x x) 35/16))))
x
(* x (+ 21/8 (* (* x x) 35/16)))
(+ 21/8 (* (* x x) 35/16))
21/8
(* (* x x) 35/16)
(* x x)
35/16
(* (fabs x) (- 15/8 (* x (* x 21/8))))
(fabs x)
(- 15/8 (* x (* x 21/8)))
15/8
(* x (* x 21/8))
(* x 21/8)
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))
Outputs
(* (/ (exp (* x x)) (fabs (* (sqrt (PI)) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (* x x)) (fabs (* (sqrt (PI)) x)))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(fabs (* (sqrt (PI)) x))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(+ 3/4 (/ 15/8 (* x x)))
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))
3/4
#s(literal 3/4 binary64)
(/ 15/8 (* x x))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
15/8
#s(literal 15/8 binary64)
(/ (pow (PI) -1/2) (fabs x))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(fabs x)
(fabs.f64 x)
x
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x)) 1)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64)))
(+ 1 (* (* x x) (+ 1 (* (* x x) 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1 (* (* x x) 1/2)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (* x x) 1/2)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
(/ 1 (/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
1
#s(literal 1 binary64)
(/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(fabs x)
(fabs.f64 x)
x
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(* (* x x) (+ 1/2 (* x (* x 1/6))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(+ 1/2 (* x (* x 1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* x (* x 1/6))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal -21/8 binary64))))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal -21/8 binary64)))))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))
(-.f64 #s(literal 225/64 binary64) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
225/64
#s(literal 225/64 binary64)
(* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))
(*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x (+ 21/8 (* (* x x) 35/16))))
(*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))
x
(* x (+ 21/8 (* (* x x) 35/16)))
(*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))
(+ 21/8 (* (* x x) 35/16))
(+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))
21/8
#s(literal 21/8 binary64)
(* (* x x) 35/16)
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
(* x x)
(*.f64 x x)
35/16
#s(literal 35/16 binary64)
(* (fabs x) (- 15/8 (* x (* x 21/8))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal -21/8 binary64))))
(fabs x)
(fabs.f64 x)
(- 15/8 (* x (* x 21/8)))
(+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal -21/8 binary64)))
15/8
#s(literal 15/8 binary64)
(* x (* x 21/8))
(*.f64 (*.f64 x x) #s(literal 21/8 binary64))
(* x 21/8)
(*.f64 x #s(literal 21/8 binary64))
(* (* x (* x x)) (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x x))
(*.f64 x (*.f64 x x))

localize316.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
✓accuracy38.0%
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64))))))
✓accuracy17.0%
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy96.9%
(/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy91.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓accuracy100.0%
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
✓accuracy98.6%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
✓accuracy98.6%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy98.5%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
175.0ms256×0valid
Compiler

Compiled 673 to 60 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 37.0ms (40.6% of total)
ival-div: 19.0ms (20.8% of total)
ival-add: 11.0ms (12.1% of total)
ival-pow: 7.0ms (7.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.4% of total)
ival-fabs: 3.0ms (3.3% of total)
ival-exp: 2.0ms (2.2% of total)
ival-sub: 2.0ms (2.2% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts
27 → 288
Calls
Call 1
Inputs
#<alt (* (/ (exp (* x x)) (fabs (* (sqrt (PI)) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (exp (* x x)) (fabs (* (sqrt (PI)) x)))>
#<alt (exp (* x x))>
#<alt (* x x)>
#<alt (/ (pow (PI) -1/2) (fabs x))>
#<alt (pow (PI) -1/2)>
#<alt (PI)>
#<alt (fabs x)>
#<alt (* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x)) 1)>
#<alt (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x))>
#<alt (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI)))>
#<alt (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2))))>
#<alt (/ 1 (/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))))>
#<alt (/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))>
#<alt (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))>
#<alt (/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))>
#<alt (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8)))))>
#<alt (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))>
#<alt (sqrt (PI))>
#<alt (/ 15/8 (* x x))>
#<alt (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))>
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/2)))>
#<alt (* x 1/6)>
#<alt (* x (* x 1/6))>
#<alt (* x (* x 21/8))>
#<alt (* (* x x) 35/16)>
Outputs
#<alt (/ 15/8 (* (pow x 6) (fabs (* x (sqrt (PI))))))>
#<alt (/ (+ (* 21/8 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 35/16 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))>
#<alt (/ 1 (fabs (* x (sqrt (PI)))))>
#<alt (+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (exp (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
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#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 21/8 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
#<alt (* 35/16 (pow x 2))>
Calls

72 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* (/ (exp (* x x)) (fabs (* (sqrt (PI)) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
1.0ms
x
@0
(/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))
1.0ms
x
@inf
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))
1.0ms
x
@0
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))
1.0ms
x
@inf
(/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))

rewrite348.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3244×fma-lowering-fma.f32
3244×fma-lowering-fma.f64
3170×*-lowering-*.f32
3170×*-lowering-*.f64
1932×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059348
1419305
24030292
08361292
Stop Event
1×iter limit
1×node limit
Counts
27 → 620
Calls
Call 1
Inputs
(* (/ (exp (* x x)) (fabs (* (sqrt (PI)) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (exp (* x x)) (fabs (* (sqrt (PI)) x)))
(exp (* x x))
(* x x)
(/ (pow (PI) -1/2) (fabs x))
(pow (PI) -1/2)
(PI)
(fabs x)
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x)) 1)
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI))) (fabs x))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) 1/2)))) (sqrt (PI)))
(+ 1 (* (* x x) (+ 1 (* (* x x) 1/2))))
(/ 1 (/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))))
(/ (fabs x) (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI))))
(/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* x (* x 1/6))))))) (sqrt (PI)))
(/ (/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8))))) (* (* x (* x x)) (* x (* x x))))
(/ (* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16))))))) (* (fabs x) (- 15/8 (* x (* x 21/8)))))
(* (pow (PI) -1/2) (- 225/64 (* (* x (* x (+ 21/8 (* (* x x) 35/16)))) (* x (* x (+ 21/8 (* (* x x) 35/16)))))))
(sqrt (PI))
(/ 15/8 (* x x))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(* (* x x) (+ 1 (* (* x x) 1/2)))
(* x 1/6)
(* x (* x 1/6))
(* x (* x 21/8))
(* (* x x) 35/16)
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (exp.f64 (*.f64 x x)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (exp.f64 (*.f64 x x))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))))) (*.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) (*.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))
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(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))
(fma.f64 x x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 x x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) x (*.f64 x x))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (*.f64 x #s(literal 21/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 21/8 binary64))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 21/8 binary64)) x)
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(*.f64 (*.f64 x x) #s(literal 35/16 binary64))
(*.f64 #s(literal 35/16 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 35/16 binary64)) x)

simplify280.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4968×*-lowering-*.f32
4968×*-lowering-*.f64
3934×+-lowering-+.f64
3934×+-lowering-+.f32
1210×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03384199
111343880
241753522
084803522
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ 15/8 (* (pow x 6) (fabs (* x (sqrt (PI))))))
(/ (+ (* 21/8 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 35/16 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))
(/ 1 (fabs (* x (sqrt (PI)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
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(fabs x)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
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(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))
(* 1/2 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))
(* 1/6 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (sqrt (PI)) (fabs x))
(+ (* -1 (* (* (pow x 2) (fabs x)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x)))
(+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* -1 (* (* (pow x 2) (+ (* -1 (fabs x)) (* 1/2 (fabs x)))) (sqrt (PI)))))))
(+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (+ (* -1 (fabs x)) (* 1/2 (fabs x))))) (* -1 (* (* (pow x 2) (+ (* -1 (+ (* -1 (fabs x)) (* 1/2 (fabs x)))) (+ (* -1/2 (fabs x)) (* 1/6 (fabs x))))) (sqrt (PI)))))))))
(* 6 (* (/ (fabs x) (pow x 6)) (sqrt (PI))))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x)))) (pow x 6))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -54 (fabs x)) (* 36 (fabs x))) (pow x 4)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x))))) (pow x 6))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -108 (fabs x)) (+ (* -3 (+ (* -54 (fabs x)) (* 36 (fabs x)))) (* 36 (fabs x)))) (pow x 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -54 (fabs x)) (* 36 (fabs x))) (pow x 4)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x)))))) (pow x 6))
(* 6 (* (/ (fabs x) (pow x 6)) (sqrt (PI))))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x)))) (pow x 6))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -54 (fabs x)) (* 36 (fabs x))) (pow x 4)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x))))) (pow x 6))
(/ (+ (* -18 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -108 (fabs x)) (+ (* -3 (+ (* -54 (fabs x)) (* 36 (fabs x)))) (* 36 (fabs x)))) (pow x 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -54 (fabs x)) (* 36 (fabs x))) (pow x 4)) (sqrt (PI)))) (* 6 (* (sqrt (PI)) (fabs x)))))) (pow x 6))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* -49/8 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 4) (+ (* -5341/480 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* -49/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 6))
(* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 22445/4704 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 22445/4704 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* -49/8 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 4) (+ (* -5341/480 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* -49/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* 175/96 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 22445/4704 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))))
(* 175/96 (* (/ (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 175/96 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 22445/4704 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 545/96 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 4489/672 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))))
(* 225/64 (sqrt (/ 1 (PI))))
(+ (* -441/64 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 225/64 (sqrt (/ 1 (PI)))))
(+ (* 225/64 (sqrt (/ 1 (PI)))) (* (pow x 4) (+ (* -735/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -441/64 (sqrt (/ 1 (PI)))))))
(+ (* 225/64 (sqrt (/ 1 (PI)))) (* (pow x 4) (+ (* -441/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -735/64 (sqrt (/ 1 (PI)))) (* -1225/256 (* (pow x 2) (sqrt (/ 1 (PI))))))))))
(* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
(* -1225/256 (* (pow x 8) (sqrt (/ 1 (PI)))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1225/256 (sqrt (/ 1 (PI)))))))
(* (pow x 8) (+ (* -735/64 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -441/64 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1225/256 (sqrt (/ 1 (PI)))) (* 225/64 (* (/ 1 (pow x 8)) (sqrt (/ 1 (PI)))))))))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 2))
(/ 15/8 (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/ 3/4 (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ 3/4 (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ 15/8 (pow x 6))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 21/8 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
(* 35/16 (pow x 2))
Outputs
(/ 15/8 (* (pow x 6) (fabs (* x (sqrt (PI))))))
(/.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/ (+ (* 21/8 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) #s(literal 21/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 35/16 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 21/8 (/ 1 (fabs (* x (sqrt (PI)))))))) (* 15/8 (/ 1 (fabs (* x (sqrt (PI))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 35/16 binary64))) #s(literal 35/16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs (* x (sqrt (PI))))))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs (* x (sqrt (PI))))))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs (* x (sqrt (PI))))))) (/ (exp (pow x 2)) (fabs (* x (sqrt (PI))))))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ 1 (fabs (* x (sqrt (PI)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
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(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))
(* 35/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal 35/16 binary64)))

eval166.0ms (1.2%)

Compiler

Compiled 47068 to 3454 computations (92.7% saved)

prune199.0ms (1.5%)

Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1324231347
Fresh51924
Picked145
Done123
Total1331481379
Accuracy
100.0%
Counts
1379 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓2.3%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
1.8%
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
85.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
85.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
79.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
56.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
85.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
85.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
79.1%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
2.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
4.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
7.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
2.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
85.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
78.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
85.1%
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
79.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
79.1%
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
78.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
7.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
✓85.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
56.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
85.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
79.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
85.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
2.3%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
85.5%
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
12.2%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
4.6%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
✓85.5%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
✓79.1%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
56.9%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
79.5%
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
79.1%
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
85.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
79.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
56.5%
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
85.2%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
85.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
78.7%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
79.1%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
56.9%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
2.3%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
✓99.6%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
99.6%
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 x x))))
Compiler

Compiled 3471 to 1112 computations (68% saved)

regimes70.0ms (0.5%)

Counts
67 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
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(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
Calls

3 calls:

21.0ms
x
18.0ms
(fabs.f64 x)
17.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes50.0ms (0.4%)

Counts
65 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Calls

2 calls:

19.0ms
(fabs.f64 x)
19.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes63.0ms (0.5%)

Counts
62 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

2 calls:

33.0ms
x
17.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes54.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

26.0ms
x
17.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes49.0ms (0.4%)

Counts
59 → 3
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

22.0ms
(fabs.f64 x)
16.0ms
x
Results
AccuracySegmentsBranch
94.4%3x
94.4%3(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes58.0ms (0.4%)

Counts
58 → 2
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (+.f64 #s(literal 3375/512 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (*.f64 (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (+.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) #s(literal 15/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

29.0ms
(fabs.f64 x)
16.0ms
x
Results
AccuracySegmentsBranch
92.2%2x
92.2%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes40.0ms (0.3%)

Counts
54 → 3
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
Calls

2 calls:

17.0ms
x
15.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
92.2%3x
92.2%3(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes41.0ms (0.3%)

Counts
53 → 2
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
Calls

2 calls:

17.0ms
x
16.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
90.3%2x
90.3%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes41.0ms (0.3%)

Counts
50 → 2
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

20.0ms
x
14.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
89.5%2x
89.5%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes35.0ms (0.3%)

Counts
48 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Calls

2 calls:

16.0ms
x
13.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
85.5%1x
85.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes40.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

23.0ms
x
13.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
85.5%1x
85.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes21.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Calls

2 calls:

8.0ms
(fabs.f64 x)
8.0ms
x
Results
AccuracySegmentsBranch
85.1%1x
85.1%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes21.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
Calls

2 calls:

10.0ms
(fabs.f64 x)
8.0ms
x
Results
AccuracySegmentsBranch
79.5%1x
79.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes21.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (fabs.f64 x)) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
Calls

2 calls:

11.0ms
x
7.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
79.1%1x
79.1%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x) x)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 35/16 binary64) (/.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
Calls

2 calls:

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

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

5.0ms
x
4.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
56.9%1x
56.9%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
Calls

2 calls:

3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
2.3%1x
2.3%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
Outputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
Calls

2 calls:

2.0ms
(fabs.f64 x)
2.0ms
x
Results
AccuracySegmentsBranch
2.3%1x
2.3%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.2232339431939344e+49
2.049570452024846e+53
0.0ms
2.738681601293545e+22
7.625471464216986e+23
Compiler

Compiled 91 to 34 computations (62.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.2232339431939344e+49
2.049570452024846e+53
Compiler

Compiled 91 to 34 computations (62.6% saved)

bsearch2.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3391471304943618e+77
7.302170355978372e+79
0.0ms
3.8024368710332186e+30
4.0629793906179474e+34
Compiler

Compiled 91 to 34 computations (62.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3391471304943618e+77
7.302170355978372e+79
Compiler

Compiled 91 to 34 computations (62.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.2232339431939344e+49
2.049570452024846e+53
Compiler

Compiled 91 to 34 computations (62.6% saved)

simplify35.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
166×*-commutative_binary64
116×unsub-neg_binary64
110×neg-mul-1_binary64
104×+-commutative_binary64
104×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136835
1239835
2299835
3357835
4450835
5590835
6641835
7670835
8682835
9684835
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999995805696 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))))) (if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(if (<=.f64 (fabs.f64 x) #s(literal 4999999999999999817948147482624 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999995805696 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))))) (if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))))
(if (<=.f64 (fabs.f64 x) #s(literal 49999999999999995805696 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64)))))) (if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (fabs.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(if (<=.f64 (fabs.f64 x) #s(literal 4999999999999999817948147482624 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 (fabs.f64 x) #s(literal 4999999999999999817948147482624 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x))))
(if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64)))
(if (<=.f64 (fabs.f64 x) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(if (<=.f64 (fabs.f64 x) #s(literal 50000000000000003814884920545943501647482485473280 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #s(literal 175/96 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))

soundness3.4s (25.6%)

Rules
4968×*-lowering-*.f32
4968×*-lowering-*.f64
4264×*-lowering-*.f32
4264×*-lowering-*.f64
4262×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
03476
19547
234335
3145131
4397331
5618730
6772530
0805730
01031042
1263977
2876936
32920885
45794865
56906865
67671865
77691865
87694865
08184865
059348
1419305
24030292
08361292
03384199
111343880
241753522
084803522
01913461
16253183
221432915
344152737
478802737
081322737
046304
1334237
23136229
08150229
01543076
14602879
216652666
343382544
463612453
579442453
082782453
038230
1276199
22746199
08278199
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1881 to 848 computations (54.9% saved)

preprocess99.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 2300 to 580 computations (74.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...