Jmat.Real.erfi, branch x less than or equal to 0.5

Time bar (total: 11.3s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
100%74.9%0%25.1%0%0%0%1
Compiler

Compiled 71 to 30 computations (57.7% 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-fabs: 0.0ms (0% of total)
ival-mult: 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)

sample2.2s (19.2%)

Results
1.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 712.0ms (50.1% of total)
ival-div: 272.0ms (19.1% of total)
ival-fabs: 129.0ms (9.1% of total)
ival-add: 126.0ms (8.9% of total)
ival-sqrt: 65.0ms (4.6% of total)
ival-<=: 48.0ms (3.4% of total)
ival-pi: 39.0ms (2.7% of total)
const: 25.0ms (1.8% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess299.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
5234×*-lowering-*.f32
5234×*-lowering-*.f64
2454×distribute-lft-out
2240×+-lowering-+.f64
2240×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049136
117194
240273
3213970
4689670
03145
17831
226324
3128223
4259723
5458723
6566823
7594023
8596823
9597023
10597023
11767123
12781623
13791723
0804123
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
Outputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
Call 2
Inputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x)))))))
(neg (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))))))
Outputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x)))))))
(fabs (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(neg (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))))))
(neg (fabs (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4))))))))
Symmetry

(abs x)

explain274.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 21 binary64)
00-0-(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (fabs.f64 x))
00-0-(sqrt.f64 (PI.f64))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
00-0-(fabs.f64 x)
00-0-(*.f64 (fabs.f64 x) (fabs.f64 x))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 5 binary64))
00-0-(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
00-0-(*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 21 binary64))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 3 binary64)
00-0-(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 5 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
Results
152.0ms512×0valid
Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 45.0ms (43.7% of total)
ival-pi: 20.0ms (19.4% of total)
ival-div: 15.0ms (14.6% of total)
ival-add: 11.0ms (10.7% of total)
ival-fabs: 6.0ms (5.8% of total)
ival-sqrt: 4.0ms (3.9% of total)
const: 2.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
▶99.9%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Compiler

Compiled 95 to 46 computations (51.6% saved)

simplify198.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))
✓cost-diff0
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓cost-diff51968
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
✓cost-diff97536
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
✓cost-diff97664
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓cost-diff97664
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Rules
3948×*-lowering-*.f32
3948×*-lowering-*.f64
2464×sum3-define
2024×+-lowering-+.f64
2024×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041388
1126291
2483253
32091242
44415242
57069242
67419242
77501242
87510242
97510242
08766242
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))
(* 2 (fabs x))
2
(fabs x)
x
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(/ 2 3)
3
(* (* (fabs x) (fabs x)) (fabs x))
(* (fabs x) (fabs x))
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(/ 1 5)
5
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(/ 1 21)
21
(* (* (* (* (* (* (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))
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(/ (fabs x) (sqrt (PI)))
(fabs x)
x
(sqrt (PI))
(PI)
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
2
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(* x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
2/3
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
Outputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* 2 (fabs x))
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
2
#s(literal 2 binary64)
(fabs x)
(fabs.f64 x)
x
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))
(/ 2 3)
#s(literal 2/3 binary64)
3
#s(literal 3 binary64)
(* (* (fabs x) (fabs x)) (fabs x))
(*.f64 x (*.f64 x (fabs.f64 x)))
(* (fabs x) (fabs x))
(*.f64 x x)
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64))))
(/ 1 5)
#s(literal 1/5 binary64)
5
#s(literal 5 binary64)
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fabs.f64 x)))))
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
(/ 1 21)
#s(literal 1/21 binary64)
21
#s(literal 21 binary64)
(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(/ (fabs x) (sqrt (PI)))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))
(* x x)
(*.f64 x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(*.f64 #s(literal 1/21 binary64) (*.f64 x x))
1/21
#s(literal 1/21 binary64)

localize177.0ms (1.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/21 binary64))
✓accuracy99.6%
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
✓accuracy99.9%
(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
Results
108.0ms256×0valid
Compiler

Compiled 547 to 42 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 29.0ms (43.6% of total)
ival-div: 10.0ms (15% of total)
...c/correct-round.rkt:119:19: 10.0ms (15% of total)
ival-add: 9.0ms (13.5% of total)
ival-fabs: 4.0ms (6% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
14 → 156
Calls
Call 1
Inputs
#<alt (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))>
#<alt (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))>
#<alt (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))>
#<alt (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))>
#<alt (fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))>
#<alt (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))>
#<alt (/ (fabs x) (sqrt (PI)))>
#<alt (fabs x)>
#<alt (sqrt (PI))>
#<alt (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))>
#<alt (* (* (fabs x) (fabs x)) (fabs x))>
#<alt (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))>
#<alt (* (* x x) 1/21)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/21)))>
Outputs
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (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 (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
Calls

39 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
4.0ms
x
@-inf
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
3.0ms
x
@inf
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
1.0ms
x
@inf
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
1.0ms
x
@0
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))

rewrite429.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4310×*-lowering-*.f32
4310×*-lowering-*.f64
2134×fma-lowering-fma.f32
2134×fma-lowering-fma.f64
1766×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041209
1246164
22359157
08265157
Stop Event
1×iter limit
1×node limit
Counts
14 → 698
Calls
Call 1
Inputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(/ (fabs x) (sqrt (PI)))
(fabs x)
(sqrt (PI))
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(* (* (fabs x) (fabs x)) (fabs x))
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(* (* x x) 1/21)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
Outputs
(fabs.f64 (/.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(fabs.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (-.f64 (/.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(/.f64 (fabs.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) #s(literal 3/2 binary64))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))))))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) #s(literal 3/2 binary64))))) (fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))))))) (fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (-.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (fabs.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
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(fma.f64 (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/9261 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5 binary64))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 #s(literal 1/9261 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64)))) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 #s(literal 1/9261 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))) (*.f64 x x)) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))) x)
(*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))

simplify257.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
5496×*-lowering-*.f32
5496×*-lowering-*.f64
2712×+-lowering-+.f64
2712×+-lowering-+.f32
1434×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0942222
13002083
210381942
337411898
468921892
086551892
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (sqrt (/ 1 (PI))) (fabs x))
(* (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)
(fabs x)
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
Outputs
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
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(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
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eval234.0ms (2.1%)

Compiler

Compiled 96784 to 4939 computations (94.9% saved)

prune139.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New134791356
Fresh000
Picked202
Done000
Total134991358
Accuracy
100.0%
Counts
1358 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (sqrt.f64 (PI.f64)))
▶99.9%
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
82.6%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
▶98.9%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))))
▶92.5%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))
39.2%
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
▶99.9%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
88.5%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
▶65.7%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))))
Compiler

Compiled 440 to 314 computations (28.6% saved)

simplify236.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
✓cost-diff0
(fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
✓cost-diff0
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))
✓cost-diff0
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))))
✓cost-diff0
(fabs.f64 x)
✓cost-diff0
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
✓cost-diff0
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))))
✓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 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))))
✓cost-diff0
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
Rules
3774×*-lowering-*.f32
3774×*-lowering-*.f64
3660×+-lowering-+.f64
3660×+-lowering-+.f32
1440×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051533
1172476
2533464
31334464
43365464
55795464
08320464
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))
(fabs x)
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))
2
(* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))
(* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))
(+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))
2/3
(* x (* x (+ 1/5 (* 1/21 (* x x)))))
(* x (+ 1/5 (* 1/21 (* x x))))
(+ 1/5 (* 1/21 (* x x)))
1/5
(* 1/21 (* x x))
1/21
(* x x)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (* (fabs x) 2))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* (fabs x) 2)
(fabs x)
x
2
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x))))))
(/ (fabs x) (sqrt (PI)))
(fabs x)
x
(sqrt (PI))
(PI)
(+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))
2
(* (* x x) (+ 2/3 (* 1/5 (* x x))))
(* x x)
(+ 2/3 (* 1/5 (* x x)))
2/3
(* 1/5 (* x x))
1/5
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))))
(/ (fabs x) (sqrt (PI)))
(fabs x)
x
(sqrt (PI))
(PI)
(+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))
2
(* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))
(* x x)
(+ 2/3 (* x (* 1/21 (* x (* x x)))))
2/3
(* x (* 1/21 (* x (* x x))))
(* 1/21 (* x (* x x)))
1/21
(* x (* x x))
(* (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))) (pow (PI) -1/2))
(fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))))
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))
(fabs x)
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))
2
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))
(+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))
2/3
(* (* x x) (+ 1/5 (* 1/21 (* x x))))
(* x x)
(+ 1/5 (* 1/21 (* x x)))
1/5
(* 1/21 (* x x))
1/21
(pow (PI) -1/2)
(PI)
-1/2
Outputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 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)
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(fabs x)
(fabs.f64 x)
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
(* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))
2/3
#s(literal 2/3 binary64)
(* x (* x (+ 1/5 (* 1/21 (* x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(* x (+ 1/5 (* 1/21 (* x x))))
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(+ 1/5 (* 1/21 (* x x)))
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* 1/21 (* x x))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
1/21
#s(literal 1/21 binary64)
(* x x)
(*.f64 x x)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) 2)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* (sqrt (/ 1 (PI))) (* (fabs x) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (fabs x) 2)
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
(fabs x)
(fabs.f64 x)
x
2
#s(literal 2 binary64)
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x))))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
(/ (fabs x) (sqrt (PI)))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* 1/5 (* x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* x x)
(*.f64 x x)
(+ 2/3 (* 1/5 (* x x)))
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))
2/3
#s(literal 2/3 binary64)
(* 1/5 (* x x))
(*.f64 #s(literal 1/5 binary64) (*.f64 x x))
1/5
#s(literal 1/5 binary64)
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))) (sqrt.f64 (PI.f64))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))))
(/.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))) (sqrt.f64 (PI.f64)))
(/ (fabs x) (sqrt (PI)))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))
(* x x)
(*.f64 x x)
(+ 2/3 (* x (* 1/21 (* x (* x x)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))
2/3
#s(literal 2/3 binary64)
(* x (* 1/21 (* x (* x x))))
(*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))
(* 1/21 (* x (* x x)))
(*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))
1/21
#s(literal 1/21 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))) (pow (PI) -1/2))
(*.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (*.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))))
(fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(fabs x)
(fabs.f64 x)
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* 1/21 (* x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/5 (* 1/21 (* x x)))
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* 1/21 (* x x))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
1/21
#s(literal 1/21 binary64)
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)

localize460.0ms (4.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))
✓accuracy99.7%
(*.f64 #s(literal 1/21 binary64) (*.f64 x x))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))
✓accuracy99.6%
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓accuracy99.2%
(*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))
✓accuracy99.7%
(*.f64 #s(literal 1/5 binary64) (*.f64 x x))
✓accuracy99.6%
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))
✓accuracy99.7%
(*.f64 #s(literal 1/21 binary64) (*.f64 x x))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))
Results
336.0ms256×0valid
Compiler

Compiled 624 to 52 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 43.0ms (45.6% of total)
ival-add: 11.0ms (11.7% of total)
...c/correct-round.rkt:119:19: 11.0ms (11.7% of total)
ival-fabs: 8.0ms (8.5% of total)
ival-div: 7.0ms (7.4% of total)
ival-pow: 7.0ms (7.4% of total)
ival-sqrt: 4.0ms (4.2% of total)
ival-pi: 3.0ms (3.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
28 → 288
Calls
Call 1
Inputs
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (* (fabs x) 2))>
#<alt (fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))))>
#<alt (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x))))))>
#<alt (/ (fabs x) (sqrt (PI)))>
#<alt (fabs x)>
#<alt (fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))))>
#<alt (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))))>
#<alt (* (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))) (pow (PI) -1/2))>
#<alt (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))))>
#<alt (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))>
#<alt (* x (+ 1/5 (* 1/21 (* x x))))>
#<alt (* 1/21 (* x x))>
#<alt (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))>
#<alt (* x (* x (+ 1/5 (* 1/21 (* x x)))))>
#<alt (PI)>
#<alt (sqrt (PI))>
#<alt (* 1/5 (* x x))>
#<alt (* (* x x) (+ 2/3 (* 1/5 (* x x))))>
#<alt (* 1/21 (* x (* x x)))>
#<alt (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))>
#<alt (* (* x x) (+ 1/5 (* 1/21 (* x x))))>
#<alt (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))>
Outputs
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (* 1/5 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/5 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (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 (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* 2 (fabs x))>
#<alt (+ (* 2/3 (* (pow x 2) (fabs x))) (* 2 (fabs x)))>
#<alt (+ (* 2 (fabs x)) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (fabs x))) (* 2/3 (fabs x)))))>
#<alt (+ (* 2 (fabs x)) (* (pow x 2) (+ (* 2/3 (fabs x)) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (fabs x))) (* 1/5 (fabs x)))))))>
#<alt (* 1/21 (* (pow x 6) (fabs x)))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))>
#<alt (* 1/21 (* (pow x 6) (fabs x)))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))>
#<alt (* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))))
2.0ms
x
@inf
(* 1/5 (* x x))
1.0ms
x
@inf
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))))
1.0ms
x
@inf
(* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))
1.0ms
x
@inf
(* (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))) (pow (PI) -1/2))

rewrite321.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3182×*-lowering-*.f32
3182×*-lowering-*.f64
2968×fma-lowering-fma.f32
2968×fma-lowering-fma.f64
1810×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051319
1336277
22632268
08168268
Stop Event
1×iter limit
1×node limit
Counts
28 → 726
Calls
Call 1
Inputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x))))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (* (fabs x) 2))
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x)))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* 1/5 (* x x))))))
(/ (fabs x) (sqrt (PI)))
(fabs x)
(fabs (* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x)))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))))
(* (fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))) (pow (PI) -1/2))
(fabs (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))))))
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))))
(* x (+ 1/5 (* 1/21 (* x x))))
(* 1/21 (* x x))
(* x (+ 2/3 (* x (* x (+ 1/5 (* 1/21 (* x x)))))))
(* x (* x (+ 1/5 (* 1/21 (* x x)))))
(PI)
(sqrt (PI))
(* 1/5 (* x x))
(* (* x x) (+ 2/3 (* 1/5 (* x x))))
(* 1/21 (* x (* x x)))
(* (* x x) (+ 2/3 (* x (* 1/21 (* x (* x x))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x))))))
(* (* x x) (+ 1/5 (* 1/21 (* x x))))
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* 1/21 (* x x)))))))
Outputs
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (-.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64))) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(*.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))))
(*.f64 (*.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))) (fabs.f64 x))
(+.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (fabs.f64 x)))))
(+.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(+.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (fabs.f64 x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(+.f64 (*.f64 (fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
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(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/21 binary64)) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64)))) x (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/5 binary64)) x (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(fma.f64 (*.f64 x #s(literal 1/21 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))
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simplify247.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3868×*-lowering-*.f32
3868×*-lowering-*.f64
2560×+-lowering-+.f64
2560×+-lowering-+.f32
1402×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01844084
16613494
222173297
342463207
468133195
080933195
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(fabs (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
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(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* 2 (fabs x))
(+ (* 2/3 (* (pow x 2) (fabs x))) (* 2 (fabs x)))
(+ (* 2 (fabs x)) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (fabs x))) (* 2/3 (fabs x)))))
(+ (* 2 (fabs x)) (* (pow x 2) (+ (* 2/3 (fabs x)) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (fabs x))) (* 1/5 (fabs x)))))))
(* 1/21 (* (pow x 6) (fabs x)))
(* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))
(* 1/21 (* (pow x 6) (fabs x)))
(* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))
(* 1/5 x)
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
Outputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x)))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x)))))

eval203.0ms (1.8%)

Compiler

Compiled 41337 to 3970 computations (90.4% saved)

prune295.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New148471491
Fresh224
Picked505
Done000
Total149191500
Accuracy
100.0%
Counts
1500 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
▶65.0%
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
▶65.7%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
▶99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
39.2%
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
82.6%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
98.9%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/21 binary64))) x)))))))
▶39.2%
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
▶99.4%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
Compiler

Compiled 376 to 266 computations (29.3% saved)

simplify299.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
✓cost-diff0
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
✓cost-diff6400
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
✓cost-diff0
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
✓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)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(/.f64 (sqrt.f64 (PI.f64)) x)
✓cost-diff0
(fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓cost-diff0
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
✓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 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
Rules
6356×fma-define
6296×fma-lowering-fma.f32
6296×fma-lowering-fma.f64
2158×*-lowering-*.f32
2158×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
046402
1137347
2426340
31339340
42731339
54114336
65056336
75955336
86094336
96118336
106118336
116224336
126332336
136347336
146348336
156348336
09155336
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))))
(pow (PI) -1/2)
(PI)
-1/2
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))
2
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))
(+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))
2/3
(* (* x x) (+ 1/5 (* x (* x 1/21))))
(* x x)
(+ 1/5 (* x (* x 1/21)))
1/5
(* x (* x 1/21))
(* x 1/21)
1/21
(/ 2 (fabs (/ (sqrt (PI)) x)))
2
(fabs (/ (sqrt (PI)) x))
(/ (sqrt (PI)) x)
(sqrt (PI))
(PI)
x
(* (pow (PI) -1/2) (* (fabs x) 2))
(pow (PI) -1/2)
(PI)
-1/2
(* (fabs x) 2)
(fabs x)
x
2
(fabs (* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))))
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* 1/21 (fabs x))
1/21
(fabs x)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))
(fabs x)
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))
2
(* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))
(* x (+ 2/3 (* x (* x (* x (* x 1/21))))))
(+ 2/3 (* x (* x (* x (* x 1/21)))))
2/3
(* x (* x (* x (* x 1/21))))
(* x (* x (* x 1/21)))
(* x (* x 1/21))
(* x 1/21)
1/21
Outputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(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 (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/21))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/5 (* x (* x 1/21)))
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/21))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* x 1/21)
(*.f64 x #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(/ 2 (fabs (/ (sqrt (PI)) x)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
2
#s(literal 2 binary64)
(fabs (/ (sqrt (PI)) x))
(fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x))
(/ (sqrt (PI)) x)
(/.f64 (sqrt.f64 (PI.f64)) x)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
x
(* (pow (PI) -1/2) (* (fabs x) 2))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 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) 2)
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
2
#s(literal 2 binary64)
(fabs (* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))))
(*.f64 (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))) (fabs.f64 (*.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
(*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))
(* (* x x) (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* 1/21 (fabs x))
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
1/21
#s(literal 1/21 binary64)
(fabs x)
(fabs.f64 x)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))))
(fabs.f64 (*.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))))
(*.f64 (fabs.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))
(*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))))
(fabs x)
(fabs.f64 x)
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))
(* x (+ 2/3 (* x (* x (* x (* x 1/21))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))))
(+ 2/3 (* x (* x (* x (* x 1/21)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))
2/3
#s(literal 2/3 binary64)
(* x (* x (* x (* x 1/21))))
(*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))))
(* x (* x (* x 1/21)))
(*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))
(* x (* x 1/21))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* x 1/21)
(*.f64 x #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)

localize232.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
✓accuracy99.4%
(*.f64 x #s(literal 1/21 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))
✓accuracy99.4%
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
✓accuracy100.0%
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(/.f64 (sqrt.f64 (PI.f64)) x)
✓accuracy99.3%
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
✓accuracy99.4%
(*.f64 x #s(literal 1/21 binary64))
Results
151.0ms256×0valid
Compiler

Compiled 477 to 47 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 49.0ms (52.3% of total)
...c/correct-round.rkt:119:19: 10.0ms (10.7% of total)
ival-add: 9.0ms (9.6% of total)
ival-fabs: 7.0ms (7.5% of total)
ival-pow: 7.0ms (7.5% of total)
ival-div: 5.0ms (5.3% of total)
ival-sqrt: 4.0ms (4.3% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
29 → 288
Calls
Call 1
Inputs
#<alt (* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))))>
#<alt (pow (PI) -1/2)>
#<alt (PI)>
#<alt (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))))>
#<alt (/ 2 (fabs (/ (sqrt (PI)) x)))>
#<alt (fabs (/ (sqrt (PI)) x))>
#<alt (/ (sqrt (PI)) x)>
#<alt (sqrt (PI))>
#<alt (* (pow (PI) -1/2) (* (fabs x) 2))>
#<alt (* (fabs x) 2)>
#<alt (fabs (* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))))>
#<alt (* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))>
#<alt (* (* x x) (* x (* x (* x x))))>
#<alt (* x x)>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (* x 1/21)>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/21))))>
#<alt (* x (* x 1/21))>
#<alt (fabs x)>
#<alt (* 1/21 (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))>
#<alt (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))>
Outputs
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (fabs (* (/ 1 x) (sqrt (PI))))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* (/ 1 x) (sqrt (PI)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (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 (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (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 (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (fabs x))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* x (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* x (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))))
1.0ms
x
@0
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
1.0ms
x
@inf
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
1.0ms
x
@-inf
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
1.0ms
x
@0
(/ (sqrt (PI)) x)

rewrite331.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4474×*-lowering-*.f32
4474×*-lowering-*.f64
2890×/-lowering-/.f32
2890×/-lowering-/.f64
1618×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046240
1260199
21878193
08110193
Stop Event
1×iter limit
1×node limit
Counts
29 → 820
Calls
Call 1
Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21)))))))))))
(pow (PI) -1/2)
(PI)
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))))))
(/ 2 (fabs (/ (sqrt (PI)) x)))
(fabs (/ (sqrt (PI)) x))
(/ (sqrt (PI)) x)
(sqrt (PI))
(* (pow (PI) -1/2) (* (fabs x) 2))
(* (fabs x) 2)
(fabs (* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))))
(* (* (* x x) (* x (* x (* x x)))) (* (sqrt (/ 1 (PI))) (* 1/21 (fabs x))))
(* (* x x) (* x (* x (* x x))))
(* x x)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))))))
(* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* x (* x (+ 2/3 (* x (* x (* x (* x 1/21))))))))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(* x 1/21)
(* x (+ 2/3 (* (* x x) (+ 1/5 (* x (* x 1/21))))))
(* (* x x) (+ 1/5 (* x (* x 1/21))))
(* x (* x 1/21))
(fabs x)
(* 1/21 (fabs x))
(* (sqrt (/ 1 (PI))) (* 1/21 (fabs x)))
(* x (* x x))
(* x (* x (* x x)))
(* x (+ 2/3 (* x (* x (* x (* x 1/21))))))
(* x (* x (+ 2/3 (* x (* x (* x (* x 1/21)))))))
Outputs
(fabs.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x)))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))) (*.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (fabs.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))) (*.f64 (/.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 1 binary64)) (fabs.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))) (*.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (fabs.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))) (*.f64 (/.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 1 binary64)) (fabs.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (fabs.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (fabs.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fabs.f64 x) (fabs.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (fabs.f64 x) (fabs.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))
(*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(*.f64 (*.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(fabs.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (PI.f64))))
(*.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 (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)))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) x)

simplify270.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4364×*-lowering-*.f32
4364×*-lowering-*.f64
2510×/-lowering-/.f32
2510×/-lowering-/.f64
2432×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01152696
13732395
210982336
330232320
446362302
087052302
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(/ 2 (fabs (* (/ 1 x) (sqrt (PI)))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(fabs (* (/ 1 x) (sqrt (PI))))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* (/ 1 x) (sqrt (PI)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 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)
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 4) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI))))))))
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (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)
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 2/3 x)
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
Outputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* 1/21 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* 1/21 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 1 binary64))))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* 1/21 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/21 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))

eval229.0ms (2%)

Compiler

Compiled 45476 to 4227 computations (90.7% saved)

prune190.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1584121596
Fresh224
Picked325
Done000
Total1589161605
Accuracy
100.0%
Counts
1605 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
98.9%
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
▶64.9%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
64.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓65.0%
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
▶99.2%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
92.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
▶99.4%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
88.5%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
▶65.7%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
39.2%
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
▶39.2%
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
39.2%
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
98.9%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/21 binary64))) x)))))))
39.2%
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
Compiler

Compiled 539 to 387 computations (28.2% saved)

simplify111.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))
✓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 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓cost-diff0
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x)
✓cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 x (sqrt.f64 (PI.f64)))
✓cost-diff0
(fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓cost-diff0
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
✓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 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
Rules
1378×*-lowering-*.f32
1378×*-lowering-*.f64
994×times-frac
830×associate-*r*
696×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040324
1112293
2262260
3592260
41314260
51600260
61824260
72229260
83205260
93473260
103474260
113474260
123510260
133533260
143541260
153541260
163541260
03541260
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))))
(pow (PI) -1/2)
(PI)
-1/2
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))))
2
(* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))
(* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))
(+ 2/3 (* x (* x (* (* x x) 1/21))))
2/3
(* x (* x (* (* x x) 1/21)))
(* x (* (* x x) 1/21))
(* (* x x) 1/21)
(* x x)
1/21
(* (/ 2 (sqrt (PI))) (fabs x))
(/ 2 (sqrt (PI)))
2
(sqrt (PI))
(PI)
(fabs x)
x
(/ 2 (/ 1 (fabs (/ x (sqrt (PI))))))
2
(/ 1 (fabs (/ x (sqrt (PI)))))
1
(fabs (/ x (sqrt (PI))))
(/ x (sqrt (PI)))
x
(sqrt (PI))
(PI)
(* (* (/ (* 1/21 (fabs x)) (sqrt (PI))) x) (* x (* x (* x (* x x)))))
(* (/ (* 1/21 (fabs x)) (sqrt (PI))) x)
(/ (* 1/21 (fabs x)) (sqrt (PI)))
(* 1/21 (fabs x))
1/21
(fabs x)
x
(sqrt (PI))
(PI)
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21))))))))
(pow (PI) -1/2)
(PI)
-1/2
(fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21)))))))
(* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21))))))
x
(+ 2 (* x (* (* x x) (* x (* (* x x) 1/21)))))
2
(* x (* (* x x) (* x (* (* x x) 1/21))))
(* (* x x) (* x (* (* x x) 1/21)))
(* x x)
(* x (* (* x x) 1/21))
(* (* x x) 1/21)
1/21
Outputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(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 (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))
x
(+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(+ 2/3 (* x (* x (* (* x x) 1/21))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
2/3
#s(literal 2/3 binary64)
(* x (* x (* (* x x) 1/21)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* x (* (* x x) 1/21))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(* (* x x) 1/21)
(*.f64 (*.f64 x x) #s(literal 1/21 binary64))
(* x x)
(*.f64 x x)
1/21
#s(literal 1/21 binary64)
(* (/ 2 (sqrt (PI))) (fabs x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/ 2 (sqrt (PI)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
2
#s(literal 2 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs x)
(fabs.f64 x)
x
(/ 2 (/ 1 (fabs (/ x (sqrt (PI))))))
(*.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
2
#s(literal 2 binary64)
(/ 1 (fabs (/ x (sqrt (PI)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
1
#s(literal 1 binary64)
(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)
(* (* (/ (* 1/21 (fabs x)) (sqrt (PI))) x) (* x (* x (* x (* x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(* (/ (* 1/21 (fabs x)) (sqrt (PI))) x)
(/.f64 (*.f64 x (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/ (* 1/21 (fabs x)) (sqrt (PI)))
(/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(* 1/21 (fabs x))
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
1/21
#s(literal 1/21 binary64)
(fabs x)
(fabs.f64 x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* x (* x (* x (* x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21)))))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))
x
(+ 2 (* x (* (* x x) (* x (* (* x x) 1/21)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
2
#s(literal 2 binary64)
(* x (* (* x x) (* x (* (* x x) 1/21))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (* x x) (* x (* (* x x) 1/21)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* x x)
(*.f64 x x)
(* x (* (* x x) 1/21))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(* (* x x) 1/21)
(*.f64 (*.f64 x x) #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)

localize197.0ms (1.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
✓accuracy99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/21 binary64))
✓accuracy99.8%
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x)
✓accuracy99.5%
(/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓accuracy99.4%
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.6%
(/.f64 x (sqrt.f64 (PI.f64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
✓accuracy99.3%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(fabs.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/21 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
Results
125.0ms256×0valid
Compiler

Compiled 392 to 41 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 37.0ms (48.4% of total)
ival-div: 10.0ms (13.1% of total)
...c/correct-round.rkt:119:19: 7.0ms (9.1% of total)
ival-pow: 7.0ms (9.1% of total)
ival-add: 5.0ms (6.5% of total)
ival-fabs: 5.0ms (6.5% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

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

57 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ 2 (/ 1 (fabs (/ x (sqrt (PI))))))
1.0ms
x
@0
(* (/ (* 1/21 (fabs x)) (sqrt (PI))) x)
1.0ms
x
@inf
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))))
1.0ms
x
@-inf
(* (/ (* 1/21 (fabs x)) (sqrt (PI))) x)
0.0ms
x
@-inf
(/ 1 (fabs (/ x (sqrt (PI)))))

rewrite300.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
4438×*-lowering-*.f32
4438×*-lowering-*.f64
2756×/-lowering-/.f32
2756×/-lowering-/.f64
1820×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040187
1215161
21329151
08360151
Stop Event
1×iter limit
1×node limit
Counts
23 → 573
Calls
Call 1
Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))))))
(pow (PI) -1/2)
(PI)
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))))))
(* (/ 2 (sqrt (PI))) (fabs x))
(/ 2 (sqrt (PI)))
(sqrt (PI))
(/ 2 (/ 1 (fabs (/ x (sqrt (PI))))))
(/ 1 (fabs (/ x (sqrt (PI)))))
(fabs (/ x (sqrt (PI))))
(/ x (sqrt (PI)))
(* (* (/ (* 1/21 (fabs x)) (sqrt (PI))) x) (* x (* x (* x (* x x)))))
(* (/ (* 1/21 (fabs x)) (sqrt (PI))) x)
(/ (* 1/21 (fabs x)) (sqrt (PI)))
(* 1/21 (fabs x))
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21))))))))
(fabs (* x (+ 2 (* x (* (* x x) (* x (* (* x x) 1/21)))))))
(* x (+ 2/3 (* x (* x (* (* x x) 1/21)))))
(* (* x x) 1/21)
(* x (* x (+ 2/3 (* x (* x (* (* x x) 1/21))))))
(* x (* (* x x) 1/21))
(fabs x)
(* (* x x) (* x (* (* x x) 1/21)))
Outputs
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(*.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))) x)
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/27 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/9261 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))) #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/21 binary64)))
(*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/21 binary64))
(*.f64 (*.f64 x #s(literal 1/21 binary64)) (*.f64 x x))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/21 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))) x)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/21 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/21 binary64))

simplify258.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
5078×*-lowering-*.f32
5078×*-lowering-*.f64
2220×fma-define
1994×/-lowering-/.f32
1994×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0601948
11621812
23711812
36961812
48871812
512531812
618691812
754791812
861641812
970011812
1076861812
080531812
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 2 (fabs (* x (sqrt (/ 1 (PI))))))
(* 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))))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(fabs (* x (sqrt (/ 1 (PI)))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* x (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* 1/21 (fabs x))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
(* 1/21 (pow x 5))
Outputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 1/21 (pow x 6))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fabs (* x (+ 2 (* 1/21 (pow x 6)))))
(fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 5) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/21 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))

eval157.0ms (1.4%)

Compiler

Compiled 25300 to 2982 computations (88.2% saved)

prune128.0ms (1.1%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New115461160
Fresh369
Picked235
Done022
Total1159171176
Accuracy
100.0%
Counts
1176 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
39.2%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
98.9%
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
98.9%
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
98.8%
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
✓64.9%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
64.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓65.0%
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
92.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
99.4%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/21 binary64))))))))))
88.5%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
39.2%
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
✓65.7%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
39.2%
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
✓39.2%
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
39.2%
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
Compiler

Compiled 1061 to 441 computations (58.4% saved)

regimes70.0ms (0.6%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/21 binary64))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/21 binary64))) x)))))))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/441 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Outputs
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
Calls

5 calls:

24.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
12.0ms
x
10.0ms
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
10.0ms
(fabs.f64 x)
10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
99.9%1(fabs.f64 x)
Compiler

Compiled 202 to 81 computations (59.9% saved)

regimes23.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/21 binary64))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/21 binary64))) x)))))))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
Calls

2 calls:

11.0ms
x
9.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/21 binary64))))))))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
Calls

2 calls:

6.0ms
(fabs.f64 x)
6.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
Calls

2 calls:

7.0ms
(fabs.f64 x)
6.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
Outputs
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
Calls

2 calls:

7.0ms
x
5.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
Calls

2 calls:

5.0ms
(fabs.f64 x)
5.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x))))
Calls

2 calls:

4.0ms
x
4.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes15.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
Calls

2 calls:

10.0ms
x
4.0ms
(fabs.f64 x)
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
Calls

2 calls:

3.0ms
(fabs.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
88.5%1x
88.5%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes6.0ms (0%)

Accuracy

Total -0.7b remaining (-3%)

Threshold costs -0.7b (-3%)

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

2 calls:

3.0ms
(fabs.f64 x)
2.0ms
x
Results
AccuracySegmentsBranch
65.7%1x
65.7%1(fabs.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.11915446109529478
11.129044031610114
Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.11915446109529478
11.129044031610114
Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.11915446109529478
11.129044031610114
Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.11915446109529478
11.129044031610114
Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
96×*-commutative_binary64
36×fabs-mul_binary64
26×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096300
1175300
2186300
3188300
Stop Event
1×saturated
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
Outputs
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal -1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 (*.f64 x (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))))) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))

soundness2.3s (20.1%)

Rules
5496×*-lowering-*.f32
5496×*-lowering-*.f64
5234×*-lowering-*.f32
5234×*-lowering-*.f64
4474×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0942222
13002083
210381942
337411898
468921892
086551892
040187
1215161
21329151
08360151
051319
1336277
22632268
08168268
046240
1260199
21878193
08110193
03145
17831
226324
3128223
4259723
5458723
6566823
7594023
8596823
9597023
10597023
11767123
12781623
13791723
0804123
01152696
13732395
210982336
330232320
446362302
087052302
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
Compiler

Compiled 522 to 258 computations (50.6% saved)

preprocess95.0ms (0.8%)

Remove

(abs x)

Compiler

Compiled 970 to 422 computations (56.5% saved)

end0.0ms (0%)

Profiling

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