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

Time bar (total: 14.6s)

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)

sample2.5s (17.3%)

Results
2.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult: 641.0ms (36.8% of total)
ival-div: 439.0ms (25.2% of total)
ival-fabs: 302.0ms (17.4% of total)
ival-add: 118.0ms (6.8% of total)
ival-sqrt: 78.0ms (4.5% of total)
ival-exp: 54.0ms (3.1% of total)
ival-pi: 40.0ms (2.3% of total)
ival->=: 35.0ms (2% of total)
const: 31.0ms (1.8% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess266.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
3298×*-lowering-*.f32
3298×*-lowering-*.f64
2124×/-lowering-/.f32
2124×/-lowering-/.f64
1920×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054172
1226121
2557106
3248789
03457
19840
234835
3145429
4400327
5620827
6766527
7789927
8791927
9792327
0818327
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)) (exp (square x))) (+ (/ (fma 1/2 (recip (square x)) 1) (fabs x)) (* (pow (recip (fabs x)) 5) (+ 3/4 (* (recip (square x)) 15/8)))))
(* (* (/ 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)) (exp (square x))) (+ (/ (fma 1/2 (recip (square x)) 1) (fabs x)) (* (pow (recip (fabs x)) 5) (+ 3/4 (* (recip (square x)) 15/8)))))
(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)) (exp (square x))) (fnmsub (pow (recip (fabs x)) 5) (+ 3/4 (* (recip (square x)) 15/8)) (/ (fma 1/2 (recip (square x)) 1) (fabs x))))
Symmetry

(abs x)

explain401.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
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-(*.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
206.0ms512×0valid
Compiler

Compiled 1174 to 95 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 49.0ms (52.6% of total)
ival-div: 21.0ms (22.5% of total)
ival-add: 7.0ms (7.5% of total)
ival-sqrt: 5.0ms (5.4% of total)
ival-pi: 3.0ms (3.2% of total)
ival-exp: 3.0ms (3.2% of total)
ival-fabs: 3.0ms (3.2% of total)
const: 2.0ms (2.1% 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))))))))
Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify215.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 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-diff128
(*.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-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
Rules
3942×*-lowering-*.f32
3942×*-lowering-*.f64
2586×/-lowering-/.f32
2586×/-lowering-/.f64
2224×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020127
162119
2257119
3907119
44189119
56713119
67652119
08047119
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))
1
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(/ 1 (* x x))
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))
1/2
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
Outputs
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.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))))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.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)
(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)

localize122.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
63.0ms256×0valid
Compiler

Compiled 159 to 21 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (31.6% of total)
ival-mult: 6.0ms (23.7% of total)
ival-add: 4.0ms (15.8% of total)
ival-exp: 2.0ms (7.9% of total)
ival-sqrt: 2.0ms (7.9% of total)
ival-pi: 1.0ms (4% of total)
ival-fabs: 1.0ms (4% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
7 → 72
Calls
Call 1
Inputs
#<alt (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))>
#<alt (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x 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 (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))>
#<alt (sqrt (PI))>
#<alt (/ 1 (* x x))>
#<alt (/ 15/8 (* x x))>
Outputs
#<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 (* 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 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (/ 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 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))>
Calls

18 calls:

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

rewrite447.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3088×*-lowering-*.f32
3088×*-lowering-*.f64
2088×+-lowering-+.f64
2088×+-lowering-+.f32
1866×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02072
111267
278067
3494767
0826967
Stop Event
1×iter limit
1×node limit
Counts
7 → 963
Calls
Call 1
Inputs
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x 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))
(sqrt (PI))
(/ 1 (* x x))
(/ 15/8 (* x x))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.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 x)))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x))))
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) x)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) x) x)
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) x)) (-.f64 #s(literal 0 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))) x) (-.f64 #s(literal 0 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))) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 0 binary64) x)))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 15/8 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 15/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 8/15 binary64))
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -15/8 binary64)))
(/.f64 #s(literal -15/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 15/8 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 15/8 binary64)))
(/.f64 (/.f64 #s(literal -15/8 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 15/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -15/8 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -15/8 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (*.f64 x x) #s(literal 15/8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 15/8 binary64))
(*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x)))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 15/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 15/8 binary64) x))
(*.f64 (/.f64 #s(literal -15/8 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -15/8 binary64))
(*.f64 (/.f64 #s(literal -15/8 binary64) (*.f64 x x)) #s(literal -1 binary64))

simplify235.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
4562×*-lowering-*.f32
4562×*-lowering-*.f64
2060×+-lowering-+.f64
2060×+-lowering-+.f32
1680×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
099974
1271814
2980764
33471717
45716704
57230704
08062704
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 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))
(* 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))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/ 1 (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 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))
Outputs
(/ 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 x (*.f64 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 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))
(* 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 (*.f64 x x) #s(literal 21/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 21/8 binary64) (*.f64 x (*.f64 x #s(literal 35/16 binary64))))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x #s(literal 35/16 binary64)))))) (fabs.f64 x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(/ 1 (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 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))

eval133.0ms (0.9%)

Compiler

Compiled 59040 to 2761 computations (95.3% saved)

prune151.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New106271069
Fresh000
Picked101
Done000
Total106371070
Accuracy
100.0%
Counts
1070 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
99.8%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
99.8%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
▶52.7%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
▶2.2%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))))))))
▶76.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
▶99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
Compiler

Compiled 408 to 248 computations (39.2% saved)

simplify239.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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-diff128
(*.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-diff128
(*.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-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))))
✓cost-diff128
(*.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-diff128
(*.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-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 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-diff128
(*.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-diff128
(*.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-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Rules
3306×+-lowering-+.f64
3306×+-lowering-+.f32
3226×*-lowering-*.f32
3226×*-lowering-*.f64
1742×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041580
1152571
2629570
32775570
46806570
08008570
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))
(* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (exp (* x x)) (fabs x))
(exp (* x x))
(* x x)
x
(fabs x)
(+ 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))) x)
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(sqrt (PI))
(PI)
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs 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 (* x x))
(* 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
(* (/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x))
(* (sqrt (/ 1 (PI))) (+ (* x x) 1))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(+ (* x x) 1)
(* x x)
x
(fabs 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 (* 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
(* (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1)))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))
(* x (* x (+ (* (* x x) 1/2) 1)))
(* x (+ (* (* x x) 1/2) 1))
(+ (* (* x x) 1/2) 1)
(* (* x x) 1/2)
(* x x)
1/2
(+ 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 (* x x))
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(* (sqrt (/ 1 (PI))) (/ (exp (* x x)) (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ (exp (* x x)) (fabs x))
(exp (* x x))
(* x x)
x
(fabs x)
Outputs
(/ (* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* 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 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(*.f64 (exp.f64 (*.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))) (fabs.f64 x)))
(/ (exp (* x x)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(fabs x)
(fabs.f64 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
#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))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x 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 (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))))
(/ (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
(+ 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 (* 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 (/.f64 #s(literal 1 binary64) x) x)
(* x x)
(*.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)
(* (/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 x))))
(/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))
(* (sqrt (/ 1 (PI))) (+ (* x x) 1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 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)
(+ (* x x) 1)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(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 (* 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 (/.f64 #s(literal 1 binary64) 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)
(* (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (fabs.f64 x))
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(* x (* x (+ (* (* x x) 1/2) 1)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(* x (+ (* (* x x) 1/2) 1))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* (* x x) 1/2) 1)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (* x x) 1/2)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 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 (* 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 (/.f64 #s(literal 1 binary64) 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 (* 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)
(* (sqrt (/ 1 (PI))) (/ (exp (* x x)) (fabs x)))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (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)
(/ (exp (* x x)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(fabs x)
(fabs.f64 x)

localize366.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
✓accuracy100.0%
(exp.f64 (*.f64 x x))
✓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))))
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy92.4%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓accuracy99.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy52.5%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))
✓accuracy99.9%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓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))))
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
231.0ms256×0valid
Compiler

Compiled 744 to 42 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 46.0ms (53.8% of total)
ival-div: 20.0ms (23.4% of total)
ival-add: 10.0ms (11.7% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-exp: 2.0ms (2.3% of total)
ival-fabs: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.1%)

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

57 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
2.0ms
x
@0
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
1.0ms
x
@0
(* (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
1.0ms
x
@inf
(* (/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
1.0ms
x
@inf
(* (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))

rewrite311.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
4002×*-lowering-*.f32
4002×*-lowering-*.f64
3474×/-lowering-/.f32
3474×/-lowering-/.f64
1748×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041270
1235247
21650247
08279247
Stop Event
1×iter limit
1×node limit
Counts
23 → 1013
Calls
Call 1
Inputs
(/ (* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))
(* (/ (exp (* x x)) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (exp (* x x)) (fabs x))
(exp (* x x))
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (sqrt (/ 1 (PI))) (fabs x))
(* (/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(/ (* (sqrt (/ 1 (PI))) (+ (* x x) 1)) (fabs x))
(* (* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1))))) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))
(* (/ (sqrt (/ 1 (PI))) (fabs x)) (+ 1 (* x (* x (+ (* (* x x) 1/2) 1)))))
(* (sqrt (/ 1 (PI))) (/ (exp (* x x)) (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(sqrt (PI))
(/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))
(/ 15/8 (* x x))
(/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)
(/ 1 (* x x))
(* (sqrt (/ 1 (PI))) (+ (* x x) 1))
(fabs x)
Outputs
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 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)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))) (*.f64 x x)))))
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) 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 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))))
(+.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 x (/.f64 x (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 x x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
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(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
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(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
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(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(/.f64 (fabs.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))

simplify548.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
4844×*-lowering-*.f32
4844×*-lowering-*.f64
4196×+-lowering-+.f64
4196×+-lowering-+.f32
2776×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02343474
17762932
229962648
362072576
085142576
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
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(/ 15/8 (* (pow x 6) (fabs x)))
(/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (exp (pow x 2)) (fabs x))
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(/ (exp (pow x 2)) (fabs x))
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(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
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(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
1
(+ 1 (pow x 2))
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(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 (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))
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(/ (+ 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))
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(/ (+ 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))
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(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
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(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))
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(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
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(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 5/4 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 5/4 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* 5/4 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/ 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 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 (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))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fabs.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 35/16 binary64) (fabs.f64 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.f64 x #s(literal 6 binary64)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fabs.f64 x) x) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fabs.f64 x) x) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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)))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 35/16 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (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)))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fabs.f64 x) x) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fabs.f64 x) x) x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs x))) (* 1/2 (/ 1 (fabs x))))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fabs.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 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(/ 15/8 (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 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))
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(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval442.0ms (3%)

Compiler

Compiled 87224 to 5024 computations (94.2% saved)

prune342.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2427122439
Fresh112
Picked415
Done000
Total2432142446
Accuracy
100.0%
Counts
2446 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶100.0%
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
85.5%
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
✓100.0%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
99.8%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
52.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
▶2.2%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
99.8%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
52.7%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
85.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
▶76.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
▶52.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
2.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
52.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
Compiler

Compiled 543 to 368 computations (32.2% saved)

simplify204.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(exp.f64 (*.f64 x x))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓cost-diff0
(/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
✓cost-diff6336
(pow.f64 (exp.f64 x) x)
Rules
2692×+-lowering-+.f64
2692×+-lowering-+.f32
2560×*-lowering-*.f32
2560×*-lowering-*.f64
1896×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037299
185290
2185289
3474288
41085288
52028288
63393288
76198288
87430288
97886288
08200288
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (pow (exp x) x) (fabs x))
(pow (exp x) x)
(exp x)
x
(fabs x)
(+ 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))) x)
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(* x x)
(sqrt (PI))
(PI)
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(fabs x)
x
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ (+ 1 (* x x)) (fabs x))
(+ 1 (* x x))
(* x x)
x
(fabs x)
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs x))
(+ 1 (* x (* x (+ 1 (* (* x x) 1/2)))))
(* x (* x (+ 1 (* (* x x) 1/2))))
x
(* x (+ 1 (* (* x x) 1/2)))
(+ 1 (* (* x x) 1/2))
(* (* x x) 1/2)
(* x x)
1/2
(fabs x)
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(fabs x)
Outputs
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* 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 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (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))))
(/ (pow (exp x) x) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(pow (exp x) x)
(exp.f64 (*.f64 x x))
(exp x)
(exp.f64 x)
x
(fabs x)
(fabs.f64 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
#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))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x 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 (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (sqrt (/ 1 (PI))) (fabs x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (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)
(/ (+ 1 (* x x)) (fabs x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(fabs x)
(fabs.f64 x)
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs 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 #s(literal 1/2 binary64) (*.f64 x x))))) (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)
(/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))
(+ 1 (* x (* x (+ 1 (* (* x x) 1/2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x (* x (+ 1 (* (* x x) 1/2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
x
(* x (+ 1 (* (* x x) 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ 1 (* (* x x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (* x x) 1/2)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(fabs x)
(fabs.f64 x)
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.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)
(fabs x)
(fabs.f64 x)

localize282.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(exp.f64 (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓accuracy99.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
✓accuracy92.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
✓accuracy52.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
214.0ms256×0valid
Compiler

Compiled 354 to 38 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 34.0ms (35.3% of total)
ival-sqrt: 25.0ms (26% of total)
ival-mult: 13.0ms (13.5% of total)
ival-pow: 10.0ms (10.4% of total)
ival-add: 7.0ms (7.3% of total)
ival-exp: 4.0ms (4.2% of total)
ival-pi: 1.0ms (1% of total)
ival-fabs: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

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

57 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow (exp x) x)
0.0ms
x
@inf
(* x (+ 1 (* (* x x) 1/2)))
0.0ms
x
@inf
(/ (exp (* x x)) (sqrt (PI)))
0.0ms
x
@-inf
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))
0.0ms
x
@inf
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))

rewrite269.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
3622×*-lowering-*.f32
3622×*-lowering-*.f64
2700×/-lowering-/.f32
2700×/-lowering-/.f64
1480×frac-add
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037188
1182178
21030177
08780177
Stop Event
1×iter limit
1×node limit
Counts
23 → 1064
Calls
Call 1
Inputs
(pow (exp x) x)
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (sqrt (PI)))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (pow (exp x) x) (fabs x))
(/ (sqrt (/ 1 (PI))) (fabs x))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x x)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs x)))
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
(sqrt (PI))
(/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))
(/ 15/8 (* x x))
(/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)
(fabs x)
(/ (+ 1 (* x x)) (fabs x))
(/ (+ 1 (* x (* x (+ 1 (* (* x x) 1/2))))) (fabs x))
(* x (+ 1 (* (* x x) 1/2)))
(* x (* x (+ 1 (* (* x x) 1/2))))
Outputs
(exp.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (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 (fabs.f64 x) (exp.f64 (*.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.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 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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))) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(neg.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))) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fabs.f64 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))) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.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 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(+.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64) x)
(*.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))) x)
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 x x (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x 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 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)

simplify287.0ms (2%)

Algorithm
1×egg-herbie
Rules
4124×*-lowering-*.f32
4124×*-lowering-*.f64
3146×+-lowering-+.f64
3146×+-lowering-+.f32
1384×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01922694
16102275
221532073
340711980
471341901
082081901
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
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 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) (fabs x)))
(/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (exp (pow x 2)) (fabs x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(/ (exp (pow x 2)) (fabs x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs x))) (* 1/2 (/ 1 (fabs x))))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (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)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* 1/2 (* (/ (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (+ (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))) (* (/ 1 (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(sqrt (/ 1 (PI)))
(+ (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 15/8 (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 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))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(/ (pow x 2) (fabs x))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(/ (pow x 2) (fabs x))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 2) (+ (/ 1 (fabs x)) (/ 1 (* (pow x 2) (fabs x)))))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(* 1/2 (/ (pow x 4) (fabs x)))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 4) (fabs x))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 4) (fabs x))))))
(* 1/2 (/ (pow x 4) (fabs x)))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (/ 1 (* (pow x 2) (fabs x)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 4) (fabs x))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs x))) (+ (/ 1 (* (pow x 2) (fabs x))) (/ 1 (* (pow x 4) (fabs x))))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
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(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))

eval283.0ms (1.9%)

Compiler

Compiled 50734 to 4989 computations (90.2% saved)

prune239.0ms (1.6%)

Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New1885261911
Fresh358
Picked325
Done011
Total1891341925
Accuracy
100.0%
Counts
1925 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶2.2%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
85.5%
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
52.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
52.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶76.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
52.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
▶100.0%
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
✓100.0%
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
85.5%
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
85.5%
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
✓100.0%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
99.8%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
▶76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
▶52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
52.7%
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
99.8%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
76.5%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
52.7%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
52.7%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
52.7%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
76.5%
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
52.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
85.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
5.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Compiler

Compiled 1321 to 887 computations (32.9% saved)

simplify238.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (sqrt.f64 (PI.f64)))
✓cost-diff0
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
✓cost-diff0
(/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(PI.f64)
✓cost-diff0
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
✓cost-diff0
(pow.f64 (exp.f64 x) x)
✓cost-diff0
(/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
Rules
3674×*-lowering-*.f32
3674×*-lowering-*.f64
2888×fma-define
2160×fma-lowering-fma.f32
2160×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040351
190337
2205334
3531334
41298334
52906334
64620334
75229334
85461334
95511334
105511334
116541334
127941334
08061334
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (pow (* (PI) (PI)) 1/4))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (pow (exp x) x) (fabs x))
(pow (exp x) x)
(exp x)
x
(fabs x)
(+ 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))) x)
(+ 3/4 (/ 15/8 (* x x)))
3/4
(/ 15/8 (* x x))
15/8
(* x x)
(pow (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(/ (pow (PI) -1/2) (fabs x))
(pow (PI) -1/2)
(PI)
-1/2
(fabs x)
x
(/ 1 (* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI))))
1
(* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI)))
(/ (fabs x) (+ 1 (* x x)))
(fabs x)
x
(+ 1 (* x x))
(* x x)
(sqrt (PI))
(PI)
(/ (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))) (fabs (* x (sqrt (PI)))))
(+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))
1
(* (* x x) (+ 1 (* 1/2 (* x x))))
(* x x)
x
(+ 1 (* 1/2 (* x x)))
(* 1/2 (* x x))
1/2
(fabs (* x (sqrt (PI))))
(* x (sqrt (PI)))
(sqrt (PI))
(PI)
(/ 1 (/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))))
1
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))
(fabs (* x (sqrt (PI))))
(* x (sqrt (PI)))
x
(sqrt (PI))
(PI)
(+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))
(* (* x x) (+ 1 (* 1/2 (* x x))))
(* x x)
(+ 1 (* 1/2 (* x x)))
(* 1/2 (* x x))
1/2
Outputs
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (pow (* (PI) (PI)) 1/4))
(/.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))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fabs.f64 x))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))
(/ (pow (exp x) x) (fabs x))
(/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))
(pow (exp x) x)
(pow.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)
x
(fabs x)
(fabs.f64 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
#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))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x 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)
(pow (* (PI) (PI)) 1/4)
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(/ (pow (PI) -1/2) (fabs x))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(fabs x)
(fabs.f64 x)
x
(/ 1 (* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
1
#s(literal 1 binary64)
(* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (fabs x) (+ 1 (* x x)))
(/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs x)
(fabs.f64 x)
x
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))) (fabs (* x (sqrt (PI)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1 (* 1/2 (* x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* 1/2 (* x x)))
(+.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)
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ 1 (/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
1
#s(literal 1 binary64)
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))
(/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(fabs (* x (sqrt (PI))))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(* (* x x) (+ 1 (* 1/2 (* x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x x)
(*.f64 x x)
(+ 1 (* 1/2 (* x x)))
(+.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)

localize252.0ms (1.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓accuracy99.5%
(*.f64 x (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy92.0%
(/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓accuracy99.5%
(*.f64 x (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy92.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
✓accuracy99.4%
(*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy52.5%
(/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)
✓accuracy99.1%
(/.f64 #s(literal 15/8 binary64) (*.f64 x x))
✓accuracy99.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))
Results
177.0ms256×0valid
Compiler

Compiled 404 to 41 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 20.0ms (28.4% of total)
ival-pow: 19.0ms (27% of total)
ival-mult: 12.0ms (17% of total)
ival-add: 9.0ms (12.8% of total)
ival-exp: 4.0ms (5.7% of total)
ival-fabs: 3.0ms (4.3% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series91.0ms (0.6%)

Counts
24 → 252
Calls
Call 1
Inputs
#<alt (/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (pow (* (PI) (PI)) 1/4))>
#<alt (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))>
#<alt (/ (pow (exp x) x) (fabs x))>
#<alt (pow (exp x) x)>
#<alt (/ (pow (PI) -1/2) (fabs x))>
#<alt (pow (PI) -1/2)>
#<alt (PI)>
#<alt (fabs x)>
#<alt (/ 1 (* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI))))>
#<alt (* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI)))>
#<alt (/ (fabs x) (+ 1 (* x x)))>
#<alt (/ (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))) (fabs (* x (sqrt (PI)))))>
#<alt (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))>
#<alt (* (* x x) (+ 1 (* 1/2 (* x x))))>
#<alt (* x x)>
#<alt (/ 1 (/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))))>
#<alt (/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (* x (sqrt (PI)))>
#<alt (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))>
#<alt (/ 15/8 (* x x))>
#<alt (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)>
#<alt (/ (+ 3/4 (/ 15/8 (* x x))) x)>
#<alt (sqrt (PI))>
Outputs
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))>
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))>
#<alt (+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))>
#<alt (/ 1 (fabs x))>
#<alt (+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs x))) (* 1/2 (/ 1 (fabs x))))) (/ 1 (fabs x)))) (/ 1 (fabs x)))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<alt (/ (exp (pow x 2)) (fabs x))>
#<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 (* (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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))>
#<alt (* (sqrt (PI)) (fabs x))>
#<alt (+ (* -1 (* (* (pow x 2) (fabs x)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x)))>
#<alt (+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* (* (pow x 2) (fabs x)) (sqrt (PI))))))>
#<alt (+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* (pow x 2) (+ (* -1 (* (* (pow x 2) (fabs x)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x)))))))>
#<alt (* (/ (fabs x) (pow x 2)) (sqrt (PI)))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x))) (pow x 2))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI))))) (pow x 2))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (fabs x) (pow x 6)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI)))))) (pow x 2))>
#<alt (* (/ (fabs x) (pow x 2)) (sqrt (PI)))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x))) (pow x 2))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI))))) (pow x 2))>
#<alt (/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (fabs x) (pow x 6)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI)))))) (pow x 2))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 (* (pow x 2) (fabs x))))>
#<alt (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (fabs x)) (fabs x))))>
#<alt (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (fabs x))) (* -1 (fabs x)))) (fabs x))))>
#<alt (/ (fabs x) (pow x 2))>
#<alt (/ (+ (fabs x) (* -1 (/ (fabs x) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (fabs x) (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2))) (pow x 2))>
#<alt (/ (- (+ (fabs x) (* -1 (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2)))) (pow x 2))>
#<alt (/ (fabs x) (pow x 2))>
#<alt (/ (+ (fabs x) (* -1 (/ (fabs x) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (fabs x) (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2))) (pow x 2))>
#<alt (/ (- (+ (fabs x) (* -1 (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2)))) (pow x 2))>
#<alt (/ 1 (fabs (* x (sqrt (PI)))))>
#<alt (+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (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))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (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))))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (fabs (* x (sqrt (PI)))))>
#<alt (+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))>
#<alt (* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (+ (fabs (* x (sqrt (PI)))) (* -1 (* (pow x 2) (fabs (* x (sqrt (PI)))))))>
#<alt (+ (fabs (* x (sqrt (PI)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI)))))))) (fabs (* x (sqrt (PI)))))))>
#<alt (+ (fabs (* x (sqrt (PI)))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI))))))) (* -1/2 (fabs (* x (sqrt (PI)))))))) (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI)))))))) (fabs (* x (sqrt (PI)))))))>
#<alt (* 2 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))>
#<alt (/ (+ (* -4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 2 (fabs (* x (sqrt (PI)))))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))) (pow x 4))) (* 2 (fabs (* x (sqrt (PI)))))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* -2 (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))))) (pow x 6))) (* 2 (fabs (* x (sqrt (PI)))))) (+ (* -8 (/ (fabs (* x (sqrt (PI)))) (pow x 4))) (+ (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))))) (pow x 4))>
#<alt (* 2 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))>
#<alt (/ (+ (* -4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 2 (fabs (* x (sqrt (PI)))))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))) (pow x 4))) (* 2 (fabs (* x (sqrt (PI)))))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* -2 (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))))) (pow x 6))) (* 2 (fabs (* x (sqrt (PI)))))) (+ (* -8 (/ (fabs (* x (sqrt (PI)))) (pow x 4))) (+ (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))))) (pow x 4))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (fabs (* x (sqrt (PI))))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<alt (* x (sqrt (PI)))>
#<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 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 3))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))>
#<alt (/ 3/4 x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 3/4 x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)>
Calls

63 calls:

TimeVariablePointExpression
79.0ms
x
@0
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (pow (* (PI) (PI)) 1/4))
1.0ms
x
@-inf
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))
1.0ms
x
@inf
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))
0.0ms
x
@0
(* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI)))
0.0ms
x
@0
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))

rewrite339.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3852×*-lowering-*.f32
3852×*-lowering-*.f64
2684×/-lowering-/.f32
2684×/-lowering-/.f64
1480×frac-add
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040219
1196207
21106204
08770204
Stop Event
1×iter limit
1×node limit
Counts
24 → 1078
Calls
Call 1
Inputs
(/ (* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x)))) (pow (* (PI) (PI)) 1/4))
(* (/ (pow (exp x) x) (fabs x)) (+ 1 (/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))))
(/ (pow (exp x) x) (fabs x))
(pow (exp x) x)
(/ (pow (PI) -1/2) (fabs x))
(pow (PI) -1/2)
(PI)
(fabs x)
(/ 1 (* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI))))
(* (/ (fabs x) (+ 1 (* x x))) (sqrt (PI)))
(/ (fabs x) (+ 1 (* x x)))
(/ (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))) (fabs (* x (sqrt (PI)))))
(+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))
(* (* x x) (+ 1 (* 1/2 (* x x))))
(* x x)
(/ 1 (/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x)))))))
(/ (fabs (* x (sqrt (PI)))) (+ 1 (* (* x x) (+ 1 (* 1/2 (* x x))))))
(fabs (* x (sqrt (PI))))
(* x (sqrt (PI)))
(/ (+ 1/2 (/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)) (* x x))
(/ 15/8 (* x x))
(/ (/ (+ 3/4 (/ 15/8 (* x x))) x) x)
(/ (+ 3/4 (/ 15/8 (* x x))) x)
(sqrt (PI))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (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 (fabs.f64 x) (exp.f64 (*.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #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 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #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 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))))
(neg.f64 (*.f64 #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 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))))
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 (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 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (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)))) (fabs.f64 x)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (/.f64 (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 #s(literal 1 binary64) (/.f64 (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 (fabs.f64 x) (exp.f64 (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (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 (fabs.f64 x) (exp.f64 (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 (exp.f64 (*.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))) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 x) (exp.f64 (*.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))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.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))) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.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 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal 1/4 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 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 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 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (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 (fabs.f64 x) (exp.f64 (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 (/.f64 (fabs.f64 x) (*.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 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (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 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 (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 0 binary64) (exp.f64 (*.f64 x x))) (*.f64 (/.f64 (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 #s(literal 0 binary64) (fabs.f64 x))))
(/.f64 (-.f64 #s(literal 0 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 (fabs.f64 x) (exp.f64 (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fabs.f64 x) (*.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 (exp.f64 (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 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 (fabs.f64 x) (exp.f64 (*.f64 x x))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (/.f64 (fabs.f64 x) (*.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))))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x)))) (sqrt.f64 (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (/.f64 (fabs.f64 x) (exp.f64 (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 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)))) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 15/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 15/8 binary64) x))) x)
(pow.f64 (/.f64 x (/.f64 #s(literal 15/8 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))
(*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -8/15 binary64))))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 15/8 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 15/8 binary64))
(*.f64 (/.f64 #s(literal 15/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 15/8 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.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 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x) x))
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(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)))
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(/.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 (*.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 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))
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(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))
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(*.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x))
(*.f64 (pow.f64 (/.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) x))
(*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) 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 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.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 (+.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 0 binary64) x)) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 0 binary64) (/.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))) x)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) x))
(pow.f64 (/.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 (+.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) x))
(*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.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))) x))
(*.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -15/8 binary64) (*.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 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) 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)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64)))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(fabs.f64 (-.f64 (sqrt.f64 (PI.f64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify278.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
4404×*-lowering-*.f32
4404×*-lowering-*.f64
2662×+-lowering-+.f64
2662×+-lowering-+.f32
1540×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02793385
18822909
230892605
084802605
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/ (exp (pow x 2)) (fabs x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(/ (exp (pow x 2)) (fabs x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (/ (exp (pow x 2)) (fabs x))))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (+ (* 3/4 (/ (exp (pow x 2)) (* (pow x 4) (fabs x)))) (+ (* 15/8 (/ (exp (pow x 2)) (* (pow x 6) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))))
(/ 1 (fabs x))
(+ (/ 1 (fabs x)) (/ (pow x 2) (fabs x)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs x))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs x))) (* 1/2 (/ 1 (fabs x))))) (/ 1 (fabs x)))) (/ 1 (fabs x)))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
(/ (exp (pow x 2)) (fabs x))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))))
(* (sqrt (PI)) (fabs x))
(+ (* -1 (* (* (pow x 2) (fabs x)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x)))
(+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* (* (pow x 2) (fabs x)) (sqrt (PI))))))
(+ (* (sqrt (PI)) (fabs x)) (* (pow x 2) (+ (* -1 (* (sqrt (PI)) (fabs x))) (* (pow x 2) (+ (* -1 (* (* (pow x 2) (fabs x)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x)))))))
(* (/ (fabs x) (pow x 2)) (sqrt (PI)))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x))) (pow x 2))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI))))) (pow x 2))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (fabs x) (pow x 6)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI)))))) (pow x 2))
(* (/ (fabs x) (pow x 2)) (sqrt (PI)))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (* (sqrt (PI)) (fabs x))) (pow x 2))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI))))) (pow x 2))
(/ (+ (* -1 (* (/ (fabs x) (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ (fabs x) (pow x 6)) (sqrt (PI)))) (+ (* (sqrt (PI)) (fabs x)) (* (/ (fabs x) (pow x 4)) (sqrt (PI)))))) (pow x 2))
(fabs x)
(+ (fabs x) (* -1 (* (pow x 2) (fabs x))))
(+ (fabs x) (* (pow x 2) (- (* (pow x 2) (fabs x)) (fabs x))))
(+ (fabs x) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (fabs x))) (* -1 (fabs x)))) (fabs x))))
(/ (fabs x) (pow x 2))
(/ (+ (fabs x) (* -1 (/ (fabs x) (pow x 2)))) (pow x 2))
(/ (- (+ (fabs x) (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2))) (pow x 2))
(/ (- (+ (fabs x) (* -1 (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2)))) (pow x 2))
(/ (fabs x) (pow x 2))
(/ (+ (fabs x) (* -1 (/ (fabs x) (pow x 2)))) (pow x 2))
(/ (- (+ (fabs x) (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2))) (pow x 2))
(/ (- (+ (fabs x) (* -1 (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (fabs x) (pow x 4))) (/ (fabs x) (pow x 2)))) (pow x 2))
(/ 1 (fabs (* x (sqrt (PI)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (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)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (fabs (* x (sqrt (PI)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* 1/2 (/ (pow x 4) (fabs (* x (sqrt (PI))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))) (+ (/ 1 (* (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (* (pow x 4) (fabs (* x (sqrt (PI)))))))))
(fabs (* x (sqrt (PI))))
(+ (fabs (* x (sqrt (PI)))) (* -1 (* (pow x 2) (fabs (* x (sqrt (PI)))))))
(+ (fabs (* x (sqrt (PI)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI)))))))) (fabs (* x (sqrt (PI)))))))
(+ (fabs (* x (sqrt (PI)))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI))))))) (* -1/2 (fabs (* x (sqrt (PI)))))))) (+ (* -1 (fabs (* x (sqrt (PI))))) (* 1/2 (fabs (* x (sqrt (PI)))))))) (fabs (* x (sqrt (PI)))))))
(* 2 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))
(/ (+ (* -4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 2 (fabs (* x (sqrt (PI)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))) (pow x 4))) (* 2 (fabs (* x (sqrt (PI)))))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* -2 (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))))) (pow x 6))) (* 2 (fabs (* x (sqrt (PI)))))) (+ (* -8 (/ (fabs (* x (sqrt (PI)))) (pow x 4))) (+ (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))))) (pow x 4))
(* 2 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))
(/ (+ (* -4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 2 (fabs (* x (sqrt (PI)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))) (pow x 4))) (* 2 (fabs (* x (sqrt (PI)))))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (fabs (* x (sqrt (PI))))) (* -2 (+ (* -8 (fabs (* x (sqrt (PI))))) (* 4 (fabs (* x (sqrt (PI)))))))) (pow x 6))) (* 2 (fabs (* x (sqrt (PI)))))) (+ (* -8 (/ (fabs (* x (sqrt (PI)))) (pow x 4))) (+ (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 2))) (* 4 (/ (fabs (* x (sqrt (PI)))) (pow x 4)))))) (pow x 4))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(fabs (* x (sqrt (PI))))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(* x (sqrt (PI)))
(/ 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 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 3))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/ 3/4 x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/ 3/4 x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
Outputs
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (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)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))) (*.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)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 21/8 (/ (pow x 2) (fabs x))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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)))
(/ (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 35/16 (/ (pow x 2) (fabs x))) (* 35/16 (/ 1 (fabs x))))) (* 21/8 (/ 1 (fabs x))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (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)))
(/ (exp (pow x 2)) (fabs x))
(/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))
(+ (* 1/2 (/ (exp (pow x 2)) (* (pow x 2) (fabs x)))) (/ (exp (pow x 2)) (fabs x)))
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(/.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) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 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))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 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))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 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))) (pow.f64 x #s(literal 4 binary64)))
(/ 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 3))
(/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (*.f64 x (*.f64 x x)))
(/ 3/4 x)
(/.f64 #s(literal 3/4 binary64) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
(/ 3/4 x)
(/.f64 #s(literal 3/4 binary64) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)

eval365.0ms (2.5%)

Compiler

Compiled 59020 to 5676 computations (90.4% saved)

prune313.0ms (2.1%)

Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1973191992
Fresh42226
Picked145
Done033
Total1978482026
Accuracy
100.0%
Counts
2026 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓2.2%
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
85.5%
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
76.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
52.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
52.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓99.7%
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
52.7%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
52.7%
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
76.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
76.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
52.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
✓100.0%
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
✓100.0%
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
85.5%
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
85.5%
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
✓100.0%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
99.8%
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
52.7%
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
✓76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
5.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
✓52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
52.7%
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
99.8%
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
76.5%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
52.7%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
52.7%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
52.7%
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
76.5%
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
76.5%
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
52.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
85.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
5.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
Compiler

Compiled 2273 to 885 computations (61.1% saved)

regimes60.0ms (0.4%)

Counts
66 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.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 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #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 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
Calls

3 calls:

19.0ms
x
17.0ms
(fabs.f64 x)
16.0ms
(*.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)

regimes45.0ms (0.3%)

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

2 calls:

18.0ms
(fabs.f64 x)
16.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes42.0ms (0.3%)

Counts
63 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.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))))))))
Outputs
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Calls

2 calls:

19.0ms
(fabs.f64 x)
16.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes52.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
Calls

2 calls:

17.0ms
(fabs.f64 x)
16.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes68.0ms (0.5%)

Counts
60 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Outputs
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Calls

2 calls:

46.0ms
x
15.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes39.0ms (0.3%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Outputs
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

2 calls:

17.0ms
x
15.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes40.0ms (0.3%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
Outputs
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

17.0ms
(fabs.f64 x)
15.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes38.0ms (0.3%)

Counts
56 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Outputs
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
Calls

2 calls:

18.0ms
x
14.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
85.5%1x
85.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes35.0ms (0.2%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 x x) #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 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.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))))))))
Outputs
(/.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Calls

2 calls:

16.0ms
(fabs.f64 x)
14.0ms
x
Results
AccuracySegmentsBranch
85.5%1x
85.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes50.0ms (0.3%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.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 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
Calls

2 calls:

33.0ms
(fabs.f64 x)
13.0ms
x
Results
AccuracySegmentsBranch
76.5%1x
76.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes33.0ms (0.2%)

Counts
32 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
Calls

2 calls:

21.0ms
x
9.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
52.7%1x
52.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
(fabs.f64 x)
4.0ms
x
Results
AccuracySegmentsBranch
52.7%1x
52.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (fabs.f64 x))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
Calls

2 calls:

3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
52.7%1x
52.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes6.0ms (0%)

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

2 calls:

2.0ms
(fabs.f64 x)
2.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
5.4%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes110.0ms (0.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

108.0ms
x
1.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
2.2%1x
2.2%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×*-commutative_binary64
30×+-commutative_binary64
4×fabs-mul_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081300
1120300
2121300
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
Outputs
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x)) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (fabs.f64 x))) (sqrt.f64 (PI.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 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (*.f64 x x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))

soundness3.6s (24.9%)

Rules
4844×*-lowering-*.f32
4844×*-lowering-*.f64
4562×*-lowering-*.f32
4562×*-lowering-*.f64
4404×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041270
1235247
21650247
08279247
03457
19840
234835
3145429
4400327
5620827
6766527
7789927
8791927
9792327
0818327
02343474
17762932
229962648
362072576
085142576
02072
111267
278067
3494767
0826967
037188
1182178
21030177
08780177
099974
1271814
2980764
33471717
45716704
57230704
08062704
01922694
16102275
221532073
340711980
471341901
082081901
02793385
18822909
230892605
084802605
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 797 to 428 computations (46.3% saved)

preprocess86.0ms (0.6%)

Remove

(abs x)

Compiler

Compiled 1082 to 408 computations (62.3% saved)

end0.0ms (0%)

Profiling

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