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)

sample2.4s (17.5%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 890.0ms (54.2% of total)
ival-div: 331.0ms (20.2% of total)
ival-add: 128.0ms (7.8% of total)
ival-sqrt: 66.0ms (4% of total)
ival-exp: 53.0ms (3.2% of total)
ival-fabs: 49.0ms (3% of total)
ival-pi: 48.0ms (2.9% of total)
ival->=: 46.0ms (2.8% of total)
const: 28.0ms (1.7% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess252.0ms (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)

explain338.0ms (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: 43.0ms (47.9% of total)
ival-div: 23.0ms (25.6% of total)
ival-add: 7.0ms (7.8% of total)
ival-fabs: 4.0ms (4.5% 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)
const: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (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))))))))
▶100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Compiler

Compiled 139 to 51 computations (63.3% saved)

simplify183.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 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))))))))
✓cost-diff39424
(*.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))))
✓cost-diff52736
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓cost-diff99328
(+.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)))))
✓cost-diff112384
(*.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))))))
Rules
3464×*-lowering-*.f32
3464×*-lowering-*.f64
2688×+-lowering-+.f64
2688×+-lowering-+.f32
1374×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046593
1147392
2631318
32588302
46274302
08034302
Stop Event
1×iter 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))))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/ 1 (fabs x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 1 2)
2
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 3 4)
3
4
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 15 8)
15
8
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ (/ (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
(* (* (/ 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 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(exp (* (fabs x) (fabs x)))
(exp.f64 (*.f64 x x))
(* (fabs x) (fabs x))
(*.f64 x x)
(fabs x)
(fabs.f64 x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(*.f64 (/.f64 #s(literal 1 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))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x)
(/ 1 2)
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (*.f64 x x)))
(/ 3 4)
#s(literal 3/4 binary64)
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) (*.f64 x x))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (fabs.f64 x) (*.f64 x x)))
(/ 15 8)
#s(literal 15/8 binary64)
15
#s(literal 15 binary64)
8
#s(literal 8 binary64)
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) (*.f64 x x)) (*.f64 x x))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(* (/ (/ (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)

localize208.0ms (1.5%)

Localize:

Found 8 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))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.8%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓accuracy99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
123.0ms256×0valid
Compiler

Compiled 692 to 47 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 26.0ms (44.7% of total)
ival-div: 15.0ms (25.8% of total)
ival-add: 7.0ms (12% of total)
ival-exp: 3.0ms (5.2% of total)
ival-fabs: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
15 → 168
Calls
Call 1
Inputs
#<alt (* (* (/ 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))))))>
#<alt (+ (+ (+ (/ 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)))))>
#<alt (+ (+ (/ 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)))))>
#<alt (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))>
#<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 (* (/ 1 (fabs x)) (/ 1 (fabs x)))>
#<alt (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (/ 15/8 (* x x))>
#<alt (/ 1 (* x x))>
#<alt (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))>
Outputs
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<alt (/ 15/8 (pow (fabs x) 7))>
#<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 (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 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

42 calls:

TimeVariablePointExpression
9.0ms
x
@0
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
7.0ms
x
@-inf
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
7.0ms
x
@inf
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
5.0ms
x
@-inf
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
1.0ms
x
@0
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))

rewrite397.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
3242×*-lowering-*.f32
3242×*-lowering-*.f64
2238×/-lowering-/.f32
2238×/-lowering-/.f64
2218×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046256
1294187
23333163
08707163
Stop Event
1×iter limit
1×node limit
Counts
15 → 647
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))))))
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(* (/ (/ (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))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/ 15/8 (* x x))
(/ 1 (* x x))
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
Outputs
(+.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.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) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.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)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))))
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(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))) x))
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.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 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.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 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.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 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.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 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (-.f64 (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
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(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)
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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)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))

simplify233.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
4720×*-lowering-*.f32
4720×*-lowering-*.f64
2192×+-lowering-+.f64
2192×+-lowering-+.f32
1762×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01272206
13232033
210821980
337471925
085051925
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(* 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))))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 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
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))) x) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))))))
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(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ 15/8 (pow x 4))
(/.f64 #s(literal 15/8 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 #s(literal 3/4 binary64) (*.f64 x x))) (*.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 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.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 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.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 #s(literal 15/8 binary64) (*.f64 x (*.f64 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 #s(literal 15/8 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 #s(literal 15/8 binary64) (*.f64 x (*.f64 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 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/ 1 (pow (fabs x) 4))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x 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 #s(literal 15/8 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 #s(literal 3/4 binary64) (*.f64 x x))) (*.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 #s(literal 3/4 binary64) (*.f64 x x))) (*.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 #s(literal 3/4 binary64) (*.f64 x x))) (*.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))

eval243.0ms (1.8%)

Compiler

Compiled 88408 to 4560 computations (94.8% saved)

prune121.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New117331176
Fresh000
Picked202
Done000
Total117531178
Accuracy
100.0%
Counts
1178 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.0%
(/.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))
▶1.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
▶100.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (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))))
Compiler

Compiled 82 to 50 computations (39% saved)

simplify195.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓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 x) (*.f64 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) (fabs.f64 x)))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (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))))
Rules
3394×*-lowering-*.f32
3394×*-lowering-*.f64
1978×/-lowering-/.f32
1978×/-lowering-/.f64
1794×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034277
1102254
2331252
3994251
42228251
53138251
65024251
75977251
86397251
96973251
09012251
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))
(/ 1 x)
1
x
(/ (sqrt (PI)) (exp (* x x)))
(sqrt (PI))
(PI)
(exp (* 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))) (* 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
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x x) (* x (* x (* x x)))))
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ 15/8 (fabs x))
15/8
(fabs x)
x
(* (* x x) (* x (* x (* x x))))
(* x x)
(* x (* x (* x x)))
(* x (* x 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 x)))
(* x (* x x))
Outputs
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* 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 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (sqrt (PI)) (exp (* x x)))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 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)))
(/ (+ 1/2 (/ (+ 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)
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x x) (* x (* x (* x x)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (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)
(/ 15/8 (fabs x))
(/.f64 #s(literal 15/8 binary64) (fabs.f64 x))
15/8
#s(literal 15/8 binary64)
(fabs x)
(fabs.f64 x)
x
(* (* x x) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x 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 x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))

localize496.0ms (3.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))
✓accuracy100.0%
(/.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy100.0%
(*.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))))
✓accuracy5.8%
(PI.f64)
✓accuracy100.0%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy5.8%
(PI.f64)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy100.0%
(/.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))
✓accuracy100.0%
(sqrt.f64 (PI.f64))
✓accuracy5.8%
(PI.f64)
Results
417.0ms249×5exit
2.0ms7×0valid
Compiler

Compiled 315 to 35 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
backward-pass: 79.0ms (45.5% of total)
ival-div: 36.0ms (20.7% of total)
ival-mult: 27.0ms (15.5% of total)
ival-sqrt: 13.0ms (7.5% of total)
ival-add: 10.0ms (5.8% of total)
ival-exp: 3.0ms (1.7% of total)
ival-fabs: 3.0ms (1.7% of total)
const: 2.0ms (1.2% of total)
ival-pi: 2.0ms (1.2% of total)

series27.0ms (0.2%)

Counts
18 → 168
Calls
Call 1
Inputs
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))>
#<alt (/ 1 x)>
#<alt (/ (sqrt (PI)) (exp (* x x)))>
#<alt (/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x x) (* x (* x (* x x)))))>
#<alt (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs 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 (PI)>
#<alt (sqrt (PI))>
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))>
#<alt (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* 21/8 (* x x))>
Outputs
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<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))))))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt (PI))>
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))>
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))>
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))>
#<alt (* (sqrt (PI)) (/ 1 (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 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))>
#<alt (* 15/8 (* (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)))) (* 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 (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 (* 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))>
#<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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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))>
Calls

42 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x x) (* x (* x (* x x)))))
3.0ms
x
@inf
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x)))
1.0ms
x
@0
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x x) (* x (* x (* x x)))))
1.0ms
x
@inf
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
1.0ms
x
@inf
(/ (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 15/8 (* 21/8 (* x x)))) (* (* x x) (* x (* x (* x x)))))

rewrite381.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4060×/-lowering-/.f32
4060×/-lowering-/.f64
2950×*-lowering-*.f32
2950×*-lowering-*.f64
1824×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034164
1249138
22368138
08255138
Stop Event
1×iter limit
1×node limit
Counts
18 → 751
Calls
Call 1
Inputs
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))
(/ 1 x)
(/ (sqrt (PI)) (exp (* x x)))
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x x) (* x (* x (* x x)))))
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs 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))
(PI)
(sqrt (PI))
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(* x (* x x))
(* x (* x (* x x)))
(* 21/8 (* x x))
Outputs
(+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) (/.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 (*.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 #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 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x 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 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))) #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 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
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(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal -1/2 binary64)) (/.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 #s(literal 1 binary64) (*.f64 x x)) (pow.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)))) #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))) 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 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x (/.f64 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 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x (/.f64 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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 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 x (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 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) (neg.f64 (/.f64 x (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.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 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (+.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 x)))
(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 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 x x)))
(/.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (*.f64 (*.f64 x x) (+.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 (neg.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.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 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.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 (neg.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x 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) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x))
(*.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 0 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.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 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.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 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 27/64 binary64) (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) (/.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 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x 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)

simplify499.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4434×*-lowering-*.f32
4434×*-lowering-*.f64
1938×fma-lowering-fma.f32
1938×fma-lowering-fma.f64
1612×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01671870
14531737
214691593
348861593
082621593
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/ (+ (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))))))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt (PI))
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(* 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)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(* 21/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(/ (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))) (pow x 4))
(* 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)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))
(* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/ 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 (* 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))
(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)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 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))
Outputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 35/16 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x)))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (/.f64 (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x)))))) x)
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (/.f64 (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x x))))))) x)
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))) x)
(/ (+ (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))))))))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))
(*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (sqrt.f64 (PI.f64)) (+.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 x x))))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))
(* (sqrt (PI)) (/ 1 (exp (pow x 2))))
(/.f64 (sqrt.f64 (PI.f64)) (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)))
(* 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 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 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 (* (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)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 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)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 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)))) (pow.f64 x #s(literal 6 binary64)))
(* 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 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x 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 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ (* 15/8 (* (/ 1 (* (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 #s(literal 15/8 binary64) (*.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 21/8 binary64) (fabs.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (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 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (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 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (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 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))
(* 21/8 (* (/ (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) (*.f64 x x))) (fabs.f64 x))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* 21/8 (* (/ (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) (*.f64 x x))) (fabs.f64 x))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* (pow x 2) (+ (* 15/8 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.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))))
(* (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))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 15/8 (pow x 4))
(/.f64 #s(literal 15/8 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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))
(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))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.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))
(* 21/8 (pow x 2))
(*.f64 #s(literal 21/8 binary64) (*.f64 x x))

eval173.0ms (1.3%)

Compiler

Compiled 37287 to 3394 computations (90.9% saved)

prune180.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New113771144
Fresh000
Picked213
Done000
Total113981147
Accuracy
100.0%
Counts
1147 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
▶100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
✓100.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (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))))
99.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.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))))
99.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
▶2.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))
▶74.7%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
▶53.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
Compiler

Compiled 414 to 249 computations (39.9% saved)

simplify169.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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))) (exp.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
✓cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff128
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))
✓cost-diff128
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))) x)
✓cost-diff128
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
✓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 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))
✓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))) x)
✓cost-diff0
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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
2920×*-lowering-*.f32
2920×*-lowering-*.f64
2238×+-lowering-+.f64
2238×+-lowering-+.f32
1532×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036610
1119601
2383589
31204585
43500585
57634585
08328585
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (exp (* x x)) (sqrt (PI))) x)
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
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
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ 1 x) (sqrt (PI)))
(/ 1 x)
1
x
(sqrt (PI))
(PI)
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))
(/ (+ 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
(* x x)
(* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ (+ 1 (* x x)) x)
(+ 1 (* 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))) (* 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
(* (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x)
(* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x))))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))
(+ 1 (* x x))
(* x x)
x
(* x (* 1/2 (* x (* x x))))
(* 1/2 (* x (* x x)))
1/2
(* 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))) (* x x))
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(/ (* (sqrt (/ 1 (PI))) (exp (* x x))) x)
(* (sqrt (/ 1 (PI))) (exp (* x x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(exp (* x x))
(* x x)
x
Outputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* 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 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) x)
(/ (/ (exp (* x x)) (sqrt (PI))) x)
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64))))
(/ (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)
(+ 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)
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* 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 x (sqrt.f64 (PI.f64))))
(/ (/ 1 x) (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(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)))
(/ (+ 1/2 (/ (+ 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)
(* x x)
(*.f64 x x)
(* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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)
(/ (+ 1 (* x x)) x)
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(+ 1 (* x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ 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)))
(/ (+ 1/2 (/ (+ 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)
(* (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) x)
(/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) x))
(* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* 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 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(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)
(+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(* x (* 1/2 (* x (* x x))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))
(* 1/2 (* x (* x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 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)))
(/ (+ 1/2 (/ (+ 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)))
(/ (+ 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)
(/ (* (sqrt (/ 1 (PI))) (exp (* x x))) x)
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x))
(* (sqrt (/ 1 (PI))) (exp (* x x)))
(*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(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)
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x

localize300.0ms (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓accuracy100.0%
(exp.f64 (*.f64 x x))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy94.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))) x)
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy52.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
165.0ms256×0valid
Compiler

Compiled 646 to 37 computations (94.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 30.0ms (38.2% of total)
ival-mult: 18.0ms (22.9% of total)
ival-div: 17.0ms (21.6% of total)
ival-sqrt: 8.0ms (10.2% of total)
ival-pi: 2.0ms (2.5% of total)
ival-exp: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
23 → 228
Calls
Call 1
Inputs
#<alt (* (/ (/ (exp (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (/ (exp (* x x)) (sqrt (PI))) x)>
#<alt (/ (exp (* x x)) (sqrt (PI)))>
#<alt (exp (* x x))>
#<alt (* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (/ 1 x) (sqrt (PI)))>
#<alt (/ 1 x)>
#<alt (sqrt (PI))>
#<alt (* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (* (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x)>
#<alt (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x))))))>
#<alt (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))>
#<alt (/ (* (sqrt (/ 1 (PI))) (exp (* x x))) x)>
#<alt (* (sqrt (/ 1 (PI))) (exp (* x x)))>
#<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 (/ (+ 1 (* x x)) x)>
#<alt (PI)>
Outputs
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<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))))))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) 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 (* (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 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* x (+ (* -21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 15/8 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 35/16 (sqrt (/ 1 (PI))))))))) (pow x 7))>
#<alt (* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 3) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<alt (* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (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))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/2 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/2 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<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))))))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (exp (pow x 2)) 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 (* (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 (/ 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 (/ 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))>
#<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 (/ 1 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x))
1.0ms
x
@inf
(* (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
0.0ms
x
@inf
(* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
0.0ms
x
@-inf
(* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
0.0ms
x
@-inf
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))

rewrite371.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3158×*-lowering-*.f32
3158×*-lowering-*.f64
2694×/-lowering-/.f32
2694×/-lowering-/.f64
2082×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036271
1266237
22828233
08169233
Stop Event
1×iter limit
1×node limit
Counts
23 → 745
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (exp (* x x)) (sqrt (PI))) x)
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ 1 x) (sqrt (PI)))
(/ 1 x)
(sqrt (PI))
(* (* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x)) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(* (/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))) x)
(* (sqrt (/ 1 (PI))) (+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x))))))
(+ (+ 1 (* x x)) (* x (* 1/2 (* x (* x x)))))
(/ (* (sqrt (/ 1 (PI))) (exp (* x x))) x)
(* (sqrt (/ 1 (PI))) (exp (* x x)))
(/ 15/8 (* x x))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(/ (+ 1 (* x x)) x)
(PI)
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(+.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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) 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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.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)) (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (exp.f64 (*.f64 x x)) (*.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)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) 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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (exp.f64 (*.f64 x 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) 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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 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))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (pow.f64 (PI.f64) #s(literal -1/2 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.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)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))))
(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)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.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 (+.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 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.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 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) x)
(/.f64 (*.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 #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 (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 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)) #s(literal 1 binary64)) (/.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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x)))))
(/.f64 (*.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 #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 (*.f64 x (*.f64 x x))))) #s(literal 1 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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.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 #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 (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) (+.f64 #s(literal 1 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)) #s(literal 1 binary64)) (/.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 #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 #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 (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (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 (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 #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 (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 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)) #s(literal 1 binary64)) (/.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 (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 #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 (*.f64 x (*.f64 x x)))))) (*.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 (/.f64 (exp.f64 (*.f64 x 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 #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 (*.f64 x (*.f64 x x))))))) (*.f64 x (+.f64 #s(literal 1 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)) #s(literal 1 binary64)) (/.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)) (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 #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 (*.f64 x (*.f64 x x)))))) (*.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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(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.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)))

simplify324.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
5092×+-lowering-+.f64
5092×+-lowering-+.f32
4998×*-lowering-*.f32
4998×*-lowering-*.f64
1272×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02892914
19422596
237732476
081782476
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/ (+ (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))))))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) 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))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))
(* (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))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* x (sqrt (/ 1 (PI))))
(* x (+ (sqrt (/ 1 (PI))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))
(* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* x (sqrt (/ 1 (PI))))
(* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))
(* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))
(* -1 (* x (+ (* -21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(* x (sqrt (/ 1 (PI))))
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* x (sqrt (/ 1 (PI))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 15/8 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 35/16 (sqrt (/ 1 (PI))))))))) (pow x 7))
(* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* 5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 3) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 3) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -15/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 1/2 (sqrt (/ 1 (PI)))) (+ (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (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)))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/ (+ (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))))))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (exp (pow x 2)) 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))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))
(* (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)))
(/ 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))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
Outputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
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(+ (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)))
(/ 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))
(/ 15/8 (pow x 4))
(/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 (*.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))
(/ 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))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 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))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 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))))) (pow.f64 x #s(literal 6 binary64)))
(/ 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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))) (/ 15/8 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/ (+ 1 (pow x 2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/ (+ 1 (pow x 2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))
x
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))
(* x (+ 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x x)))

eval248.0ms (1.8%)

Compiler

Compiled 62534 to 3947 computations (93.7% saved)

prune210.0ms (1.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1693201713
Fresh202
Picked415
Done101
Total1700211721
Accuracy
100.0%
Counts
1721 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)
▶2.4%
(/.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 x (sqrt.f64 (PI.f64))))
74.7%
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
▶2.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
81.8%
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
74.7%
(/.f64 (*.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)))))) x)
53.1%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
2.3%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
99.4%
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
▶100.0%
(*.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (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))))
53.2%
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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))))
▶81.9%
(*.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))) 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))))
✓100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
99.4%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
99.4%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
2.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))
13.2%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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))))
4.0%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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))))
69.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 x x))))
69.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
▶5.6%
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
Compiler

Compiled 1130 to 608 computations (46.2% saved)

simplify368.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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))) x)
✓cost-diff0
(*.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))) 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))))
✓cost-diff0
(+.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)))
✓cost-diff0
(/.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))
✓cost-diff0
(+.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)))
✓cost-diff0
(/.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 x (sqrt.f64 (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))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) 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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓cost-diff0
(pow.f64 (E.f64) (*.f64 x x))
✓cost-diff0
(/.f64 (pow.f64 (E.f64) (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x)
✓cost-diff0
(*.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (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
4044×*-lowering-*.f32
4044×*-lowering-*.f64
3694×+-lowering-+.f64
3694×+-lowering-+.f32
1480×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038555
1111537
2327537
31024525
43299525
57605525
67941525
77954525
87955525
97955525
08382525
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (pow (E) (* x x)) (sqrt (PI))) x)
(/ (pow (E) (* x x)) (sqrt (PI)))
(pow (E) (* x x))
(E)
(* x x)
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
(* x (sqrt (/ 1 (PI))))
x
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ (* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1)) x)
(* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(+ (/ 1/2 (* x x)) 1)
(/ 1/2 (* x x))
1/2
(* x x)
x
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (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
(* x x)
x
(* x (sqrt (PI)))
(sqrt (PI))
(PI)
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) 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)
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
Outputs
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/.f64 (*.f64 (pow.f64 (E.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 x (sqrt.f64 (PI.f64))))
(/ (/ (pow (E) (* x x)) (sqrt (PI))) x)
(/.f64 (pow.f64 (E.f64) (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64))))
(/ (pow (E) (* x x)) (sqrt (PI)))
(/.f64 (pow.f64 (E.f64) (*.f64 x x)) (sqrt.f64 (PI.f64)))
(pow (E) (* x x))
(pow.f64 (E.f64) (*.f64 x x))
(E)
(E.f64)
(* x x)
(*.f64 x x)
x
(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)
(* x (sqrt (/ 1 (PI))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.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)
(/ (* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1)) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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)
(+ (/ 1/2 (* x x)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (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 x (sqrt.f64 (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)
(* x x)
(*.f64 x x)
x
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/.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 #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)))))))) (*.f64 x (sqrt.f64 (PI.f64))))
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) 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 (*.f64 x x) #s(literal 1/6 binary64))))))) (*.f64 x (sqrt.f64 (PI.f64))))
(/ (+ 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 (*.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 (*.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)))))))
1
#s(literal 1 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 (*.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 (*.f64 x 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 (*.f64 x 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)
(+ 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)))
(/ (+ 1/2 (/ (+ 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)))
(/ (+ 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)

localize346.0ms (2.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy96.1%
(/.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))) x)
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (PI.f64))
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓accuracy99.2%
(/.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))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
223.0ms256×0valid
Compiler

Compiled 564 to 39 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-add: 101.0ms (61.5% of total)
ival-div: 17.0ms (10.4% of total)
ival-mult: 17.0ms (10.4% of total)
ival-pow: 14.0ms (8.5% of total)
...c/correct-round.rkt:119:19: 6.0ms (3.7% of total)
ival-sqrt: 4.0ms (2.4% of total)
ival-e: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
22 → 216
Calls
Call 1
Inputs
#<alt (* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (/ (pow (E) (* x x)) (sqrt (PI))) x)>
#<alt (/ (pow (E) (* x x)) (sqrt (PI)))>
#<alt (pow (E) (* x x))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (PI)>
#<alt (/ (* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1)) x)>
#<alt (* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1))>
#<alt (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI))))>
#<alt (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))>
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))>
#<alt (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))>
#<alt (* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))>
#<alt (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) 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 (sqrt (PI))>
#<alt (/ 15/8 (* x x))>
#<alt (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))>
#<alt (/ 1/2 (* x x))>
Outputs
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (* (pow x 2) (+ 3/4 (* 15/8 (log (E))))) (sqrt (/ 1 (PI))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (* (pow x 2) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (* (* (pow x 2) (+ 1 (+ (* 5/16 (pow (log (E)) 3)) (+ (* 3/8 (pow (log (E)) 2)) (* 1/2 (log (E))))))) (sqrt (/ 1 (PI))))))))) (pow x 7))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (pow (E) (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))))) x)>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (+ (* -3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (pow (E) (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (+ (* -3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (* (pow x 2) (log (E))) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (pow (log (E)) 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (log (E)))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (log (E))) (* (pow x 2) (+ (* 1/6 (* (* (pow x 2) (pow (log (E)) 3)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (pow (log (E)) 2)))))))) x)>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* (* (pow x 2) (log (E))) (sqrt (/ 1 (PI)))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (pow (log (E)) 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (log (E))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (log (E))) (* (pow x 2) (+ (* 1/6 (* (* (pow x 2) (pow (log (E)) 3)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (pow (log (E)) 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (log (E))))>
#<alt (+ 1 (* (pow x 2) (+ (log (E)) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (log (E)) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (pow (E) (pow x 2))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* 1/2 (* (/ 1 (pow x 3)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))>
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) 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 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))>
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)>
#<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))))))))) x)>
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 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 5) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (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 (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 (/ 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))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (/ (pow (E) (* x x)) (sqrt (PI))) x)
2.0ms
x
@0
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
1.0ms
x
@inf
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
1.0ms
x
@inf
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
1.0ms
x
@-inf
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))

rewrite392.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3548×*-lowering-*.f32
3548×*-lowering-*.f64
2688×pow-lowering-pow.f64
2688×pow-lowering-pow.f32
2536×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038293
1307254
23107246
08916246
Stop Event
1×iter limit
1×node limit
Counts
22 → 674
Calls
Call 1
Inputs
(* (/ (/ (pow (E) (* x x)) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (pow (E) (* x x)) (sqrt (PI))) x)
(/ (pow (E) (* x x)) (sqrt (PI)))
(pow (E) (* x x))
(* x (sqrt (/ 1 (PI))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(/ (* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1)) x)
(* (sqrt (/ 1 (PI))) (+ (/ 1/2 (* x x)) 1))
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI))))
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)))
(* (/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) x) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))
(/ (/ (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) (sqrt (PI))) 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))
(/ 15/8 (* x x))
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x))
(/ 1/2 (* x x))
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) 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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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)) (*.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.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))))
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(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify277.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
5202×+-lowering-+.f64
5202×+-lowering-+.f32
3842×*-lowering-*.f32
3842×*-lowering-*.f64
1456×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03462941
111782584
237542483
080672483
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (* (pow x 2) (+ 3/4 (* 15/8 (log (E))))) (sqrt (/ 1 (PI))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (* (pow x 2) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (* (* (pow x 2) (+ 1 (+ (* 5/16 (pow (log (E)) 3)) (+ (* 3/8 (pow (log (E)) 2)) (* 1/2 (log (E))))))) (sqrt (/ 1 (PI))))))))) (pow x 7))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (pow (E) (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))))) x)
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (+ (* -3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (pow (E) (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) (+ (* -3/4 (* (/ (pow (E) (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (* (pow x 2) (log (E))) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (pow (log (E)) 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (log (E)))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (log (E))) (* (pow x 2) (+ (* 1/6 (* (* (pow x 2) (pow (log (E)) 3)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (pow (log (E)) 2)))))))) x)
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* (* (pow x 2) (log (E))) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (pow (log (E)) 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (log (E))))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (log (E))) (* (pow x 2) (+ (* 1/6 (* (* (pow x 2) (pow (log (E)) 3)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (pow (log (E)) 2))))))))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
(* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))
1
(+ 1 (* (pow x 2) (log (E))))
(+ 1 (* (pow x 2) (+ (log (E)) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))))
(+ 1 (* (pow x 2) (+ (log (E)) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(pow (E) (pow x 2))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* 1/2 (* (/ 1 (pow x 3)) (sqrt (/ 1 (PI)))))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 3))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))) (pow x 2))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)
(* (/ 1 x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) 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 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))
(* (/ 1 x) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)
(/ (+ (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))))))))) x)
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 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 5) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 5) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (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))) (* (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))))))))
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)))))))
(* 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 (pow x 6))))))
(* 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 (pow x 6))))))
(/ 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))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
Outputs
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (* (pow x 2) (+ 3/4 (* 15/8 (log (E))))) (sqrt (/ 1 (PI))))) (pow x 7))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 21/8 binary64))) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (* (pow x 2) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (sqrt (/ 1 (PI))))))) (pow x 7))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 21/8 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 3/4 (* 15/8 (log (E))))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (+ 1/2 (+ (* 3/4 (log (E))) (* 15/16 (pow (log (E)) 2))))) (* (* (pow x 2) (+ 1 (+ (* 5/16 (pow (log (E)) 3)) (+ (* 3/8 (pow (log (E)) 2)) (* 1/2 (log (E))))))) (sqrt (/ 1 (PI))))))))) (pow x 7))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 21/8 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (/ (pow (E) (pow x 2)) x) (sqrt (/ 1 (PI))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (pow.f64 (E.f64) (*.f64 x x)) x))
(/ (+ (* 1/2 (* (/ (pow (E) (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (pow (E) (pow x 2)))) x)
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(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* (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))))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(* 1/6 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 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)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(* 1/6 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 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)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(/ 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))
(/ 15/8 (pow x 4))
(/.f64 #s(literal 15/8 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))))
(/ (+ 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))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

eval271.0ms (2%)

Compiler

Compiled 58061 to 3744 computations (93.6% saved)

prune269.0ms (2%)

Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1522221544
Fresh41115
Picked415
Done011
Total1530351565
Accuracy
100.0%
Counts
1565 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.4%
(/.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))) (sqrt.f64 (PI.f64))) x)
2.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
81.9%
(/.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))))))))) (+.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))) x)
99.4%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)
2.4%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
81.9%
(/.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 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))))))))) (sqrt.f64 (PI.f64)))))
2.4%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
2.3%
(/.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 x (sqrt.f64 (PI.f64))))
81.9%
(/.f64 (*.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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
74.7%
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
74.7%
(/.f64 (*.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)))))) x)
2.3%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
99.4%
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
5.6%
(/.f64 x (sqrt.f64 (PI.f64)))
2.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
✓100.0%
(*.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (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))))
8.8%
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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))))
53.2%
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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))))
81.8%
(*.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))) 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))))
81.8%
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
81.8%
(*.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))) x) #s(literal 1 binary64))
81.9%
(*.f64 (/.f64 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))))
81.9%
(*.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))))))))) 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))))
8.8%
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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))))
✓100.0%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
99.4%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
99.4%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
81.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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))))
6.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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))))
81.9%
(*.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))))))))) (*.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))))
81.9%
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
13.2%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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))))
4.0%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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))))
69.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 x x))))
69.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
Compiler

Compiled 3097 to 906 computations (70.7% saved)

regimes55.0ms (0.4%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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)) (sqrt.f64 (PI.f64))) x)
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.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))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.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 (*.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (pow.f64 (E.f64) (*.f64 x x)) (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 #s(literal 1 binary64) x) (/.f64 (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 (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 (pow.f64 (E.f64) (*.f64 x x)) (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))))
Calls

3 calls:

15.0ms
x
14.0ms
(fabs.f64 x)
13.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%1(fabs.f64 x)
Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes26.0ms (0.2%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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)) (sqrt.f64 (PI.f64))) x)
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.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))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.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 (*.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (exp.f64 (*.f64 x x)) (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))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes27.0ms (0.2%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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)) (sqrt.f64 (PI.f64))) x)
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.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))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.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 (*.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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)) (sqrt.f64 (PI.f64))) x)
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.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))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.2%)

Counts
43 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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)) (sqrt.f64 (PI.f64))) x)
(/.f64 (exp.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x)
Outputs
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))))) (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 #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 #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 (+.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 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))))))))) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))))) 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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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))) x) #s(literal 1 binary64))
Calls

1 calls:

29.0ms
x
Results
AccuracySegmentsBranch
89.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
89.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) x)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
86.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
(*.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))))))))) (*.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 (/.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))))))))) 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 (/.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 x (*.f64 x #s(literal 1/6 binary64))))))))) (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))) 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 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))))))))) (sqrt.f64 (PI.f64)))))
(/.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))))))))) (+.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))) x)
(*.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))))))))) (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (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))))))))))) (+.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))))))))) (*.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))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
81.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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 #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 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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))))
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))) 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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
81.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
(*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
81.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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))) x) #s(literal 1 binary64))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 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))))
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))) x) #s(literal 1 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
81.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (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)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) (*.f64 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 x (sqrt.f64 (PI.f64))))
(/.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))) (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))
Outputs
(/.f64 (*.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)))))) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
74.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.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 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 x x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
69.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
69.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -2.1b remaining (-3.4%)

Threshold costs -2.1b (-3.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
Outputs
(/.f64 x (sqrt.f64 (PI.f64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch36.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
4.813517779453978e+49
8.371978403516458e+53
Results
24.0ms128×0valid
Compiler

Compiled 1020 to 434 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.6% of total)
ival-div: 5.0ms (25.3% of total)
ival-add: 2.0ms (10.1% of total)
ival-pi: 1.0ms (5.1% of total)
ival-exp: 1.0ms (5.1% of total)
ival-fabs: 1.0ms (5.1% of total)
ival-sqrt: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
26.0ms
3.2097312096320243e+75
1.9089205761990845e+77
12.0ms
2.9678009802503514e+33
9.065671709610293e+39
Results
31.0ms160×0valid
Compiler

Compiled 1194 to 498 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 13.0ms (49.7% of total)
ival-div: 6.0ms (23% of total)
ival-add: 2.0ms (7.7% of total)
ival-pi: 1.0ms (3.8% of total)
ival-exp: 1.0ms (3.8% of total)
ival-fabs: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
ival-sqrt: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.2097312096320243e+75
1.9089205761990845e+77
Results
22.0ms112×0valid
Compiler

Compiled 738 to 321 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (43.9% of total)
ival-div: 5.0ms (27.4% of total)
ival-add: 2.0ms (11% of total)
ival-exp: 1.0ms (5.5% of total)
ival-fabs: 1.0ms (5.5% of total)
ival-sqrt: 1.0ms (5.5% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify33.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
118×*-commutative_binary64
114×unsub-neg_binary64
108×neg-mul-1_binary64
82×distribute-rgt-neg-in_binary64
80×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101678
1171678
2207678
3239678
4268678
5294678
6315678
7389678
8516678
9531678
10544678
11553678
12554678
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (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 (exp.f64 (*.f64 x x)) (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 (exp.f64 (*.f64 x x)) (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 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.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))) x)
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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))) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 399999999999999990995239293824136118272 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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)))) (if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) x)))
(if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) 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))))))))) (*.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 (/.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))) 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 (+.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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) x) #s(literal 1 binary64))
(/.f64 (*.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)))))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 x (sqrt.f64 (PI.f64)))
Outputs
(*.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (*.f64 x x)) (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 (exp.f64 (*.f64 x x)) (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 #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)) (sqrt.f64 (PI.f64))) x))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (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 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.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))) x)
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (-.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))) 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))) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 #s(literal 1 binary64) (+.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))) 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))) x))
(if (<=.f64 x #s(literal 399999999999999990995239293824136118272 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (*.f64 x (sqrt.f64 (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))))))))))) (+.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)))) (if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) x)))
(if (<=.f64 x #s(literal 399999999999999990995239293824136118272 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x 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 (+.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 x (sqrt.f64 (PI.f64)))))) (if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)) (/.f64 (*.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)))))) x)))
(if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) 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 (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)))))) x))
(if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) x)) (/.f64 (*.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)))))) 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))))))))) (*.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 (+.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 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 x (sqrt.f64 (PI.f64)))))
(*.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))) 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))) 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))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.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))) 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))) x) #s(literal 1 binary64))
(/.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))) x)
(/.f64 (*.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)))))) x)
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 x (sqrt.f64 (PI.f64)))

soundness3.0s (22.2%)

Rules
5202×+-lowering-+.f64
5202×+-lowering-+.f32
5092×+-lowering-+.f64
5092×+-lowering-+.f32
4998×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
03476
19547
234335
3145131
4397331
5618730
6772530
0805730
03462941
111782584
237542483
080672483
01671870
14531737
214691593
348861593
082621593
038293
1307254
23107246
08916246
036271
1266237
22828233
08169233
046256
1294187
23333163
08707163
02892914
19422596
237732476
081782476
034164
1249138
22368138
08255138
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 1413 to 550 computations (61.1% saved)

preprocess90.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 2000 to 534 computations (73.3% saved)

end0.0ms (0%)

Profiling

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