Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Time bar (total: 4.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample609.0ms (12.8%)

Results
440.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult: 81.0ms (37.1% of total)
ival-div: 63.0ms (28.9% of total)
ival-sub: 58.0ms (26.6% of total)
const: 14.0ms (6.4% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess29.0ms (0.6%)

Algorithm
egg-herbie
Rules
282×fnmadd-define
258×fmsub-define
252×fnmsub-define
168×fmm-def
134×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
13918
28118
320318
443115
573515
699115
7104315
066
1166
2226
3266
4286
0286
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- (* x x) 3) 6)
Outputs
(/ (- (* x x) 3) 6)
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
Call 2
Inputs
(/ (- (* x x) 3) 6)
(/ (- (* (neg x) (neg x)) 3) 6)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
Outputs
(/ (- (* x x) 3) 6)
(fnmsub (square x) -1/6 1/2)
(/ (- (* (neg x) (neg x)) 3) 6)
(fnmsub (square x) -1/6 1/2)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(fnmsub (square x) 1/6 -1/2)
Symmetry

(abs x)

explain71.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x x) #s(literal 3 binary64))
00-0-x
00-0-(*.f64 x x)
00-0-(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
00-0-#s(literal 3 binary64)
00-0-#s(literal 6 binary64)
Results
46.0ms512×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (45.3% of total)
ival-div: 4.0ms (30.2% of total)
ival-sub: 3.0ms (22.6% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
Rules
*-lowering-*.f32
*-lowering-*.f64
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11015
21215
31315
01315
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ (* x x) 6) -1/2)
(/ (* x x) 6)
(* x x)
x
6
-1/2
Outputs
(+ (/ (* x x) 6) -1/2)
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/ (* x x) 6)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
-1/2
#s(literal -1/2 binary64)

localize28.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Results
20.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33% of total)
ival-mult: 2.0ms (33% of total)
ival-add: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (+ (/ (* x x) 6) -1/2)>
#<alt (/ (* x x) 6)>
#<alt (* x x)>
Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (/ (* x x) 6) -1/2)
0.0ms
x
@0
(+ (/ (* x x) 6) -1/2)
0.0ms
x
@inf
(/ (* x x) 6)
0.0ms
x
@0
(/ (* x x) 6)
0.0ms
x
@inf
(* x x)

rewrite239.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
3448×*-lowering-*.f32
3448×*-lowering-*.f64
2438×fma-lowering-fma.f32
2438×fma-lowering-fma.f64
1498×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0612
13711
226811
3399311
0838711
Stop Event
iter limit
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(+ (/ (* x x) 6) -1/2)
(/ (* x x) 6)
(* x x)
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64))) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1296 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
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(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

simplify129.0ms (2.7%)

Algorithm
egg-herbie
Rules
1776×fmsub-define
1672×fmm-def
1496×fma-lowering-fma.f32
1496×fma-lowering-fma.f64
1412×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013161
130126
264126
3163126
4446126
5828126
61467126
72833126
85895126
08040126
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(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)
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval22.0ms (0.5%)

Compiler

Compiled 3797 to 479 computations (87.4% saved)

prune22.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1897196
Fresh000
Picked011
Done000
Total1898197
Accuracy
100.0%
Counts
197 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
63.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
99.9%
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
99.9%
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
99.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
99.9%
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
52.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 176 to 112 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 x #s(literal 6 binary64))
cost-diff0
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff0
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff0
(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff0
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
16×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01761
13361
24461
34958
45258
57558
67758
07758
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ x (/ 6 x)) 1/2)
(/ x (/ 6 x))
x
(/ 6 x)
6
1/2
-1/2
(* 1/6 (* x x))
1/6
(* x x)
x
(+ (* (/ x 6) x) -1/2)
(* (/ x 6) x)
(/ x 6)
x
6
-1/2
(+ (/ 1 (/ 6 (* x x))) -1/2)
(/ 1 (/ 6 (* x x)))
1
(/ 6 (* x x))
6
(* x x)
x
-1/2
Outputs
(- (/ x (/ 6 x)) 1/2)
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(/ x (/ 6 x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* 1/6 (* x x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(+ (* (/ x 6) x) -1/2)
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(* (/ x 6) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (/ 1 (/ 6 (* x x))) -1/2)
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(/ 1 (/ 6 (* x x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
1
#s(literal 1 binary64)
(/ 6 (* x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)

localize100.0ms (2.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
accuracy99.1%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy100.0%
(/.f64 x #s(literal 6 binary64))
accuracy100.0%
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
accuracy99.8%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy100.0%
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
accuracy99.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
Results
70.0ms256×0valid
Compiler

Compiled 77 to 18 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (42.3% of total)
ival-mult: 5.0ms (21.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (16.9% of total)
ival-add: 3.0ms (12.7% of total)
ival-sub: 1.0ms (4.2% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (- (/ x (/ 6 x)) 1/2)>
#<alt (/ x (/ 6 x))>
#<alt (/ 6 x)>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (+ (* (/ x 6) x) -1/2)>
#<alt (* (/ x 6) x)>
#<alt (/ x 6)>
#<alt (+ (/ 1 (/ 6 (* x x))) -1/2)>
#<alt (/ 1 (/ 6 (* x x)))>
#<alt (/ 6 (* x x))>
Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 6 x)
0.0ms
x
@-inf
(/ x 6)
0.0ms
x
@0
(/ 6 x)
0.0ms
x
@inf
(/ 6 (* x x))
0.0ms
x
@-inf
(/ 6 x)

rewrite195.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3960×*-lowering-*.f32
3960×*-lowering-*.f64
2552×/-lowering-/.f32
2552×/-lowering-/.f64
628×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01746
110943
266143
0864143
Stop Event
iter limit
node limit
Counts
11 → 568
Calls
Call 1
Inputs
(- (/ x (/ 6 x)) 1/2)
(/ x (/ 6 x))
(/ 6 x)
(* 1/6 (* x x))
(* x x)
(+ (* (/ x 6) x) -1/2)
(* (/ x 6) x)
(/ x 6)
(+ (/ 1 (/ 6 (* x x))) -1/2)
(/ 1 (/ 6 (* x x)))
(/ 6 (* x x))
Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1728 binary64))))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))) (+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))))
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(/.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal -6 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 #s(literal -6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x))

simplify138.0ms (2.9%)

Algorithm
egg-herbie
Rules
1776×fmsub-define
1672×fmm-def
1496×fma-lowering-fma.f32
1496×fma-lowering-fma.f64
1412×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017603
135498
268498
3161498
4443498
5824498
61468498
72845498
85915498
08074498
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))

eval89.0ms (1.9%)

Compiler

Compiled 12353 to 889 computations (92.8% saved)

prune47.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New7265731
Fresh112
Picked235
Done101
Total7309739
Accuracy
100.0%
Counts
739 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
52.3%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
52.3%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
52.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
99.9%
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
99.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64))
52.3%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
52.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 128 to 88 computations (31.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff0
(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff0
(/.f64 x #s(literal 6 binary64))
cost-diff0
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64))
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
16×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
12759
23659
34559
46859
56959
06959
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
(/ 1 (/ (/ 6 x) x))
1
(/ (/ 6 x) x)
(/ 6 x)
6
x
-1/2
(* (/ x 6) x)
(/ x 6)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
(/ (* x x) 6)
(* x x)
x
6
(/ 1 (/ 6 (* x x)))
1
(/ 6 (* x x))
6
(* x x)
x
Outputs
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(/ 1 (/ (/ 6 x) x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
1
#s(literal 1 binary64)
(/ (/ 6 x) x)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
-1/2
#s(literal -1/2 binary64)
(* (/ x 6) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(/ x (/ 6 x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
(/ (* x x) 6)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ 1 (/ 6 (* x x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
1
#s(literal 1 binary64)
(/ 6 (* x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(* x x)
(*.f64 x x)
x

localize92.0ms (1.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy99.1%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy99.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy100.0%
(/.f64 x #s(literal 6 binary64))
accuracy99.8%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64))
accuracy99.7%
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
Results
72.0ms256×0valid
Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 21.0ms (77.2% of total)
ival-mult: 4.0ms (14.7% of total)
ival-add: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (/ 1 (/ (/ 6 x) x)) -1/2)>
#<alt (/ 1 (/ (/ 6 x) x))>
#<alt (/ (/ 6 x) x)>
#<alt (/ 6 x)>
#<alt (* (/ x 6) x)>
#<alt (/ x 6)>
#<alt (/ x (/ 6 x))>
#<alt (/ (* x x) 6)>
#<alt (* x x)>
#<alt (/ 1 (/ 6 (* x x)))>
#<alt (/ 6 (* x x))>
Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
0.0ms
x
@0
(/ (/ 6 x) x)
0.0ms
x
@inf
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
0.0ms
x
@-inf
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
0.0ms
x
@0
(/ 1 (/ (/ 6 x) x))

rewrite446.0ms (9.4%)

Algorithm
batch-egg-rewrite
Rules
3880×*-lowering-*.f32
3880×*-lowering-*.f64
2382×/-lowering-/.f32
2382×/-lowering-/.f64
706×frac-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01542
17841
261341
0823141
Stop Event
iter limit
node limit
Counts
11 → 561
Calls
Call 1
Inputs
(+ (/ 1 (/ (/ 6 x) x)) -1/2)
(/ 1 (/ (/ 6 x) x))
(/ (/ 6 x) x)
(/ 6 x)
(* (/ x 6) x)
(/ x 6)
(/ x (/ 6 x))
(/ (* x x) 6)
(* x x)
(/ 1 (/ 6 (* x x)))
(/ 6 (* x x))
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (-.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/1728 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x))) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal 1/4 binary64))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x))

simplify171.0ms (3.6%)

Algorithm
egg-herbie
Rules
1776×fmsub-define
1672×fmm-def
1496×fma-lowering-fma.f32
1496×fma-lowering-fma.f64
1412×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017593
135486
268486
3161486
4443486
5823486
61466486
72841486
85904486
08063486
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))

eval153.0ms (3.2%)

Compiler

Compiled 7890 to 825 computations (89.5% saved)

prune53.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7611762
Fresh011
Picked235
Done033
Total7638771
Accuracy
100.0%
Counts
771 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
52.3%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
52.3%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
52.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
99.9%
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
52.3%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
52.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify181.0ms (3.8%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
cost-diff0
(-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))
cost-diff0
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
Rules
1754×*-lowering-*.f32
1754×*-lowering-*.f64
1586×fnmadd-define
1230×/-lowering-/.f32
1230×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01768
13867
28661
323861
469061
5199557
6375057
7591857
0803257
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ 6 x) x))
1
(/ (/ 6 x) x)
(/ 6 x)
6
x
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))
(- 1/4 (/ (* x x) (/ 36 (* x x))))
1/4
(/ (* x x) (/ 36 (* x x)))
(* x x)
x
(/ 36 (* x x))
36
(+ -1/2 (/ (* x x) -6))
-1/2
(/ (* x x) -6)
-6
Outputs
(/ 1 (/ (/ 6 x) x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
1
#s(literal 1 binary64)
(/ (/ 6 x) x)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(- 1/4 (/ (* x x) (/ 36 (* x x))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -36 binary64) (*.f64 x x))))
1/4
#s(literal 1/4 binary64)
(/ (* x x) (/ 36 (* x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(/ 36 (* x x))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
36
#s(literal 36 binary64)
(+ -1/2 (/ (* x x) -6))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
-1/2
#s(literal -1/2 binary64)
(/ (* x x) -6)
(/.f64 (*.f64 x x) #s(literal -6 binary64))
-6
#s(literal -6 binary64)

localize69.0ms (1.5%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal -6 binary64))
accuracy99.1%
(/.f64 #s(literal 36 binary64) (*.f64 x x))
accuracy69.1%
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
Results
49.0ms256×0valid
Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 12.0ms (69.3% of total)
ival-mult: 2.0ms (11.6% of total)
ival-sub: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ 6 x) x))>
#<alt (/ (/ 6 x) x)>
#<alt (/ 6 x)>
#<alt (/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))>
#<alt (- 1/4 (/ (* x x) (/ 36 (* x x))))>
#<alt (/ (* x x) (/ 36 (* x x)))>
#<alt (* x x)>
#<alt (/ 36 (* x x))>
#<alt (/ (* x x) -6)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/36 (pow x 4)))>
#<alt (+ 1/4 (* -1/36 (pow x 4)))>
#<alt (+ 1/4 (* -1/36 (pow x 4)))>
#<alt (* -1/36 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* -1/36 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<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 (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))
1.0ms
x
@0
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))
0.0ms
x
@0
(/ 36 (* x x))
0.0ms
x
@inf
(/ (* x x) (/ 36 (* x x)))
0.0ms
x
@inf
(/ 36 (* x x))

rewrite301.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
4782×*-lowering-*.f32
4782×*-lowering-*.f64
3446×/-lowering-/.f32
3446×/-lowering-/.f64
1216×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01754
111539
292438
0909538
Stop Event
iter limit
node limit
Counts
9 → 435
Calls
Call 1
Inputs
(/ 1 (/ (/ 6 x) x))
(/ (/ 6 x) x)
(/ 6 x)
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))
(- 1/4 (/ (* x x) (/ 36 (* x x))))
(/ (* x x) (/ 36 (* x x)))
(* x x)
(/ 36 (* x x))
(/ (* x x) -6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(/.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -6 binary64)))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(*.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(neg.f64 (/.f64 #s(literal -6 binary64) x))
(neg.f64 (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) x)
(/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)))
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) x (*.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) x)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (neg.f64 (*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (*.f64 x x) (*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 x (/.f64 #s(literal 36 binary64) x))))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (/.f64 x (/.f64 #s(literal 36 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 x (/.f64 #s(literal 36 binary64) x)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)) (*.f64 x (*.f64 x x)))))))) (fma.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)) (*.f64 x (*.f64 x x))))))))
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(/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -6 binary64)))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 6 binary64))))
(/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -6 binary64))))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 36 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -36 binary64))
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 36 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -6 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -36 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 6 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal -36 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (*.f64 x x))
(*.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) x)) x)
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/36 binary64))
(*.f64 (/.f64 x #s(literal 36 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 x #s(literal 36 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 36 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -36 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) x) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal -1/6 binary64))
(*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (/.f64 x #s(literal -36 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x #s(literal -36 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal -1/36 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -36 binary64) (*.f64 x x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)) (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -6 binary64) x)) (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -6 binary64)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal -6 binary64) x)) x)
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (/.f64 x #s(literal -6 binary64))) (/.f64 x #s(literal -6 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) x)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) (*.f64 x x)))) #s(literal -1/6 binary64))
(*.f64 (*.f64 x (/.f64 x #s(literal -36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)) (-.f64 #s(literal 0 binary64) x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 36 binary64) x)))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(/.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -36 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 36 binary64) x) x)
(/.f64 (/.f64 #s(literal -36 binary64) x) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(*.f64 #s(literal 36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(*.f64 #s(literal -36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 36 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 36 binary64))
(*.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -36 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 36 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(*.f64 x (/.f64 x #s(literal -6 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))

simplify211.0ms (4.4%)

Algorithm
egg-herbie
Rules
1808×fmsub-define
1704×fmm-def
1556×fma-lowering-fma.f32
1556×fma-lowering-fma.f64
1532×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032511
162431
2113431
3228431
4531431
5907431
61568431
72919431
86070431
08320431
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
1/4
(+ 1/4 (* -1/36 (pow x 4)))
(+ 1/4 (* -1/36 (pow x 4)))
(+ 1/4 (* -1/36 (pow x 4)))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* -1/36 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(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)
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/36 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(+ 1/4 (* -1/36 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(+ 1/4 (* -1/36 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* -1/36 (pow x 4))
(*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* -1/36 (pow x 4))
(*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))

eval69.0ms (1.5%)

Compiler

Compiled 16681 to 1502 computations (91% saved)

prune60.0ms (1.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5961597
Fresh000
Picked112
Done066
Total5978605
Accuracy
100.0%
Counts
605 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
16.5%
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
52.3%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
52.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
99.9%
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
52.3%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
52.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 207 to 86 computations (58.5% saved)

regimes46.0ms (1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
Calls

4 calls:

33.0ms
x
5.0ms
(*.f64 x x)
4.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes5.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Outputs
#s(literal -1/2 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
98.6%2x
98.6%2(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes8.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
Outputs
#s(literal -1/2 binary64)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
Calls

2 calls:

5.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
98.6%2x
98.6%2(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
Outputs
#s(literal -1/2 binary64)
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
98.6%2x
98.6%2(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
98.6%2x
98.6%2(*.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
Outputs
#s(literal -1/2 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
48.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.09313706566471151
396.49057076981546
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.09313706566471151
396.49057076981546
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.09313706566471151
396.49057076981546
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
0.09313706566471151
396.49057076981546
Results
5.0ms128×0valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (52.1% of total)
ival-div: 1.0ms (52.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02163
12563
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)
Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)

soundness1.1s (22.1%)

Rules
3960×*-lowering-*.f32
3960×*-lowering-*.f64
3448×*-lowering-*.f32
3448×*-lowering-*.f64
2552×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
13711
226811
3399311
0838711
066
1166
2226
3266
4286
0286
01746
110943
266143
0864143
013161
130126
264126
3163126
4446126
5828126
61467126
72833126
85895126
08040126
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 212 to 131 computations (38.2% saved)

preprocess43.0ms (0.9%)

Remove

(abs x)

Compiler

Compiled 192 to 90 computations (53.1% saved)

end0.0ms (0%)

Profiling

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