bug500, discussion (missed optimization)

Time bar (total: 18.0s)

analyze161.0ms (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
50.4%50.4%49.6%0%0%0%0%9
51%51%49%0%0%0%0%10
51.3%51.2%48.7%0%0%0%0%11
51.3%51.3%48.7%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 19.0ms (39.1% of total)
ival-div: 15.0ms (30.9% of total)
ival-sinh: 12.0ms (24.7% of total)
const: 1.0ms (2.1% of total)
backward-pass: 1.0ms (2.1% of total)

sample5.2s (29%)

Results
2.1s5943×2valid
2.1s7727×5exit
329.0ms2002×1valid
22.0ms311×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-log: 1.3s (48.2% of total)
backward-pass: 651.0ms (23.5% of total)
ival-sinh: 428.0ms (15.4% of total)
ival-div: 340.0ms (12.3% of total)
const: 18.0ms (0.6% of total)
Bogosity

preprocess271.0ms (1.5%)

Algorithm
egg-herbie
Rules
2948×sum3-define
1890×fnmadd-define
1622×fmsub-define
1576×fma-define
1560×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
12618
26418
317716
453216
5167016
6381416
7628716
045
1105
2235
3505
4945
51925
64305
78895
822405
946505
1057555
1162315
1264355
1369895
1473695
1577235
1677555
1777795
077795
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(log (/ (sinh x) x))
Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
Call 2
Inputs
(log (/ (sinh x) x))
(log (/ (sinh (neg x)) (neg x)))
(neg (log (/ (sinh (neg x)) (neg x))))
Outputs
(log (/ (sinh x) x))
(log (/ (sinh (neg x)) (neg x)))
(log (/ (sinh x) x))
(neg (log (/ (sinh (neg x)) (neg x))))
(neg (log (/ (sinh x) x)))
Symmetry

(abs x)

explain264.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-0-(log.f64 (/.f64 (sinh.f64 x) x))
00-0-x
00-0-(/.f64 (sinh.f64 x) x)
00-0-(sinh.f64 x)
Results
177.0ms384×2valid
46.0ms112×1valid
1.0ms16×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-log: 74.0ms (62% of total)
ival-sinh: 20.0ms (16.8% of total)
backward-pass: 13.0ms (10.9% of total)
ival-div: 12.0ms (10.1% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify201.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 x)
cost-diff0
(/.f64 (sinh.f64 x) x)
cost-diff0
(log.f64 (/.f64 (sinh.f64 x) x))
Rules
1890×fnmadd-define
1622×fmsub-define
1576×fma-define
1560×fnmsub-define
1344×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
11012
22312
35012
49412
519212
643012
788912
8224012
9465012
10575512
11623112
12643512
13698912
14736912
15772312
16775512
17777912
0777912
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)
x
Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(/ (sinh x) x)
(/.f64 (sinh.f64 x) x)
(sinh x)
(sinh.f64 x)
x

localize106.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sinh.f64 x)
accuracy100.0%
(/.f64 (sinh.f64 x) x)
accuracy50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
Results
86.0ms192×2valid
11.0ms56×1valid
1.0ms0valid
Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-log: 36.0ms (52.3% of total)
ival-sinh: 20.0ms (29% of total)
backward-pass: 7.0ms (10.2% of total)
ival-div: 6.0ms (8.7% of total)
const: 0.0ms (0% of total)

series71.0ms (0.4%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log (/ (sinh x) x))>
#<alt (/ (sinh x) x)>
#<alt (sinh x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
Calls

9 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(log (/ (sinh x) x))
33.0ms
x
@inf
(log (/ (sinh x) x))
2.0ms
x
@0
(log (/ (sinh x) x))
0.0ms
x
@0
(/ (sinh x) x)
0.0ms
x
@0
(sinh x)

rewrite335.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
3712×/-lowering-/.f32
3712×/-lowering-/.f64
1780×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
12011
212311
395611
0863111
Stop Event
iter limit
node limit
Counts
3 → 378
Calls
Call 1
Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(-.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x)))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x)))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(neg.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 (sinh.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))))
(/.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (sinh.f64 x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))
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(*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64))
(*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))

simplify180.0ms (1%)

Algorithm
egg-herbie
Rules
2088×*-lowering-*.f32
2088×*-lowering-*.f64
1980×sum4-define
1912×fma-lowering-fma.f32
1912×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059392
1163350
2471347
31530347
43322347
55867347
67331347
08086347
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))

eval71.0ms (0.4%)

Compiler

Compiled 8530 to 1483 computations (82.6% saved)

prune89.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4077414
Fresh000
Picked011
Done000
Total4078415
Accuracy
98.1%
Counts
415 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
97.5%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
97.2%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
97.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
50.2%
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
50.6%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
50.4%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
Compiler

Compiled 216 to 138 computations (36.1% saved)

simplify124.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
cost-diff128
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
Rules
2972×fma-define
2160×fma-lowering-fma.f32
2160×fma-lowering-fma.f64
684×sum3-define
624×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028217
198192
2337192
3835192
41827192
53189192
63392192
73417192
83417192
93811192
103811192
03811192
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
x
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
1/6
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(* x x)
(+ -1/180 (* (* x x) 1/2835))
-1/180
(* (* x x) 1/2835)
1/2835
(* 1/6 (* x x))
1/6
(* x x)
x
(* x (* x (+ 1/6 (* (* x x) -1/180))))
x
(* x (+ 1/6 (* (* x x) -1/180)))
(+ 1/6 (* (* x x) -1/180))
1/6
(* (* x x) -1/180)
(* x x)
-1/180
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(* x x)
x
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
1/6
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
-1/180
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(+ 1/2835 (* (* x x) -1/37800))
1/2835
(* (* x x) -1/37800)
-1/37800
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
(* 1/6 (* x x))
1/6
(* x x)
x
1
Outputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
x
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* x x)
(*.f64 x x)
(+ -1/180 (* (* x x) 1/2835))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
-1/180
#s(literal -1/180 binary64)
(* (* x x) 1/2835)
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
(* 1/6 (* x x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (+ 1/6 (* (* x x) -1/180))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
x
(* x (+ 1/6 (* (* x x) -1/180)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(+ 1/6 (* (* x x) -1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/180)
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(* x x)
(*.f64 x x)
-1/180
#s(literal -1/180 binary64)
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))
-1/180
#s(literal -1/180 binary64)
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(+ 1/2835 (* (* x x) -1/37800))
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
1/2835
#s(literal 1/2835 binary64)
(* (* x x) -1/37800)
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
(log (+ (* 1/6 (* x x)) 1))
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+ (* 1/6 (* x x)) 1)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/6 (* x x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)

localize737.0ms (4.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy52.6%
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
Results
515.0ms192×2valid
132.0ms56×1valid
4.0ms0valid
Compiler

Compiled 263 to 29 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 91.0ms (31.3% of total)
backward-pass: 67.0ms (23.1% of total)
ival-add: 59.0ms (20.3% of total)
...c/correct-round.rkt:119:19: 37.0ms (12.7% of total)
ival-log: 37.0ms (12.7% of total)
const: 1.0ms (0.3% of total)

series12.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))>
#<alt (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))>
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))>
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* x (* x (+ 1/6 (* (* x x) -1/180))))>
#<alt (* x (+ 1/6 (* (* x x) -1/180)))>
#<alt (+ 1/6 (* (* x x) -1/180))>
#<alt (* (* x x) -1/180)>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))>
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))>
#<alt (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))>
#<alt (log (+ (* 1/6 (* x x)) 1))>
#<alt (+ (* 1/6 (* x x)) 1)>
#<alt (* (* x x) 1/2835)>
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* (* x x) -1/37800)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 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)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ (* 1/6 (* x x)) 1))
1.0ms
x
@inf
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
1.0ms
x
@inf
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
1.0ms
x
@inf
(log (+ (* 1/6 (* x x)) 1))
0.0ms
x
@0
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))

rewrite393.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
4340×*-lowering-*.f32
4340×*-lowering-*.f64
3036×/-lowering-/.f32
3036×/-lowering-/.f64
2558×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028156
1185136
21649136
09100136
Stop Event
iter limit
node limit
Counts
18 → 475
Calls
Call 1
Inputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(* 1/6 (* x x))
(* x x)
(* x (* x (+ 1/6 (* (* x x) -1/180))))
(* x (+ 1/6 (* (* x x) -1/180)))
(+ 1/6 (* (* x x) -1/180))
(* (* x x) -1/180)
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
(* (* x x) 1/2835)
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* (* x x) -1/37800)
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
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(*.f64 x (*.f64 x #s(literal -1/37800 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/37800 binary64)) x)

simplify242.0ms (1.3%)

Algorithm
egg-herbie
Rules
3974×+-lowering-+.f64
3974×+-lowering-+.f32
3204×*-lowering-*.f32
3204×*-lowering-*.f64
1630×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01451920
14091622
211811602
336891602
080681602
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 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)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(* 1/2835 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/2835 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* 1/2835 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
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(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* -1/37800 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))

eval130.0ms (0.7%)

Compiler

Compiled 24356 to 1970 computations (91.9% saved)

prune79.0ms (0.4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New82512837
Fresh022
Picked235
Done011
Total82718845
Accuracy
98.3%
Counts
845 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
97.0%
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
96.9%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
97.5%
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
97.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
23.7%
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
97.1%
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) #s(literal 1/6 binary64)))))))
97.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
97.4%
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
97.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
97.1%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
97.2%
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
97.5%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
97.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
97.2%
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
50.6%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
50.4%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
Compiler

Compiled 1380 to 443 computations (67.9% saved)

simplify198.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))))
cost-diff128
(*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
cost-diff128
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
cost-diff0
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
cost-diff0
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))
cost-diff0
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff256
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
Rules
3334×*-lowering-*.f32
3334×*-lowering-*.f64
1408×+-lowering-+.f64
1408×+-lowering-+.f32
1286×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046326
1142300
2416280
31160276
42780276
53675276
65270276
77124276
08056276
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6)))
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x)))
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800))))
-1/180
(* (* x x) (+ 1/2835 (* (* x x) -1/37800)))
(* x x)
x
(+ 1/2835 (* (* x x) -1/37800))
1/2835
(* (* x x) -1/37800)
-1/37800
(* (* x x) (* x x))
(* x (* x 1/6))
(* x 1/6)
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))
x
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x)
(- 1/36 (* 1/32400 (* (* x x) (* x x))))
1/36
(* 1/32400 (* (* x x) (* x x)))
1/32400
(* (* x x) (* x x))
(* x x)
(+ 1/6 (* 1/180 (* x x)))
1/6
(* 1/180 (* x x))
1/180
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))
(* x x)
x
(+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))
1/216
(* (* x (* x x)) (* -1/5832000 (* x (* x x))))
(* x (* x x))
(* -1/5832000 (* x (* x x)))
-1/5832000
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))
1/36
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))
(* x (* x -1/180))
(* x -1/180)
-1/180
(- (* x (* x -1/180)) 1/6)
1/6
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
1
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(* x x)
x
(+ 1/6 (* (* x x) 1/120))
1/6
(* (* x x) 1/120)
1/120
Outputs
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800))))
(+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))
-1/180
#s(literal -1/180 binary64)
(* (* x x) (+ 1/2835 (* (* x x) -1/37800)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1/2835 (* (* x x) -1/37800))
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
1/2835
#s(literal 1/2835 binary64)
(* (* x x) -1/37800)
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x 1/6))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)))) #s(literal -1/36 binary64))) (+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
x
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x)
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))
(- 1/36 (* 1/32400 (* (* x x) (* x x))))
(+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))
1/36
#s(literal 1/36 binary64)
(* 1/32400 (* (* x x) (* x x)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/32400 binary64))))
1/32400
#s(literal 1/32400 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(+ 1/6 (* 1/180 (* x x)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))
1/6
#s(literal 1/6 binary64)
(* 1/180 (* x x))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
1/180
#s(literal 1/180 binary64)
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64)))))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) (* -1/5832000 (* x (* x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* -1/5832000 (* x (* x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))
-1/5832000
#s(literal -1/5832000 binary64)
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))
(+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64)))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64))))
(* x (* x -1/180))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(* x -1/180)
(*.f64 #s(literal -1/180 binary64) x)
-1/180
#s(literal -1/180 binary64)
(- (* x (* x -1/180)) 1/6)
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)

localize788.0ms (4.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
accuracy52.6%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
accuracy99.6%
(*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))))
accuracy99.6%
(*.f64 x #s(literal -1/180 binary64))
accuracy99.5%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
accuracy99.4%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
accuracy99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
Results
583.0ms192×2valid
90.0ms56×1valid
13.0ms0valid
Compiler

Compiled 426 to 47 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-mult: 119.0ms (33.4% of total)
...c/correct-round.rkt:119:19: 85.0ms (23.8% of total)
backward-pass: 55.0ms (15.4% of total)
ival-add: 41.0ms (11.5% of total)
ival-log: 37.0ms (10.4% of total)
ival-sub: 10.0ms (2.8% of total)
ival-div: 9.0ms (2.5% of total)
const: 1.0ms (0.3% of total)

series35.0ms (0.2%)

Counts
24 → 288
Calls
Call 1
Inputs
#<alt (+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6)))>
#<alt (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x)))>
#<alt (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800))))>
#<alt (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))>
#<alt (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))>
#<alt (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x)>
#<alt (- 1/36 (* 1/32400 (* (* x x) (* x x))))>
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))>
#<alt (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))>
#<alt (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))>
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))>
#<alt (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))>
#<alt (* x x)>
#<alt (* (* x x) -1/37800)>
#<alt (* (* x x) (* x x))>
#<alt (* 1/180 (* x x))>
#<alt (* x -1/180)>
#<alt (* (* x x) 1/120)>
#<alt (+ 1/6 (* (* x x) 1/120))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<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 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/1080 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))>
#<alt (* 1/32400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))>
#<alt (* 1/32400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))>
#<alt (* 1/1080 (pow x 2))>
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))>
#<alt (* 1/32400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* 1/32400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))>
#<alt (* -1/5832000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* -1/5832000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
Calls

72 calls:

TimeVariablePointExpression
20.0ms
x
@inf
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))
1.0ms
x
@0
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))
1.0ms
x
@0
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
1.0ms
x
@inf
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))
1.0ms
x
@inf
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))

rewrite382.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
4322×*-lowering-*.f32
4322×*-lowering-*.f64
2976×/-lowering-/.f32
2976×/-lowering-/.f64
1894×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046233
1278196
22503188
09312188
Stop Event
iter limit
node limit
Counts
24 → 483
Calls
Call 1
Inputs
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6)))
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x)))
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800))))
(* (* x x) (+ 1/2835 (* (* x x) -1/37800)))
(* (* x 1/6) x)
(* x 1/6)
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x)
(- 1/36 (* 1/32400 (* (* x x) (* x x))))
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(* x x)
(* (* x x) -1/37800)
(* (* x x) (* x x))
(* 1/180 (* x x))
(* x -1/180)
(* (* x x) 1/120)
(+ 1/6 (* (* x x) 1/120))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x))
(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)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x (*.f64 x #s(literal -1/37800 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/37800 binary64)) x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x)
(*.f64 #s(literal -1/180 binary64) x)
(*.f64 x #s(literal -1/180 binary64))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))

simplify242.0ms (1.3%)

Algorithm
egg-herbie
Rules
2676×*-lowering-*.f32
2676×*-lowering-*.f64
2408×+-lowering-+.f64
2408×+-lowering-+.f32
1550×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01672284
14691951
212971933
336961867
081221867
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* 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))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* -1/32400 (pow x 5))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 5))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
1/36
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))
(* 1/32400 (pow x 4))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))
(* 1/32400 (pow x 4))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))
(* 1/32400 (pow x 4))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* 1/32400 (pow x 4))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))
(* -1/5832000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* -1/5832000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1/180 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))
(* -1/37800 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 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))
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(+.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.f64 #s(literal 20 binary64) (*.f64 x x))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (/.f64 #s(literal -80 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -80 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 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)
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))

eval197.0ms (1.1%)

Compiler

Compiled 36203 to 2342 computations (93.5% saved)

prune83.0ms (0.5%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New102181029
Fresh549
Picked325
Done044
Total1029181047
Accuracy
98.3%
Counts
1047 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.7%
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))))
97.1%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
97.1%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
97.1%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
95.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))))))
97.5%
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
97.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
23.7%
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
97.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
97.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
97.4%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
97.5%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
97.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
97.4%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
97.2%
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
50.6%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
1.8%
(log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
Compiler

Compiled 764 to 336 computations (56% saved)

simplify354.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))))
cost-diff0
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff256
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 x #s(literal -1/180 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
cost-diff0
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x #s(literal 1/36 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
Rules
6624×*-lowering-*.f32
6624×*-lowering-*.f64
2142×/-lowering-/.f32
2142×/-lowering-/.f64
2132×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033197
187170
2201170
3395170
4634170
5847170
61271170
71468170
82597170
93015170
103602170
114259170
124944170
135581170
145930170
156110170
166298170
176497170
187280170
08423170
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))
x
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))
(* x 1/36)
1/36
(+ 1/6 (* 1/180 (* x x)))
1/6
(* 1/180 (* x x))
1/180
(* x x)
(* (+ 1/6 (* x (* x -1/180))) (* x x))
(+ 1/6 (* x (* x -1/180)))
1/6
(* x (* x -1/180))
x
(* x -1/180)
-1/180
(* x x)
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x))))
(+ -1/180 (/ 1/6 (* x x)))
-1/180
(/ 1/6 (* x x))
1/6
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))))
x
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
1/36
(* (* x (* x (* x x))) -1/32400)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/32400
(+ 1/6 (* (* x x) 1/180))
1/6
(* (* x x) 1/180)
1/180
(log (+ 1 (* x (* x 1/6))))
(* x (* x 1/6))
x
(* x 1/6)
1/6
Outputs
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))
(/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
x
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(* x 1/36)
(*.f64 x #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/6 (* 1/180 (* x x)))
(+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* 1/180 (* x x))
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
1/180
#s(literal 1/180 binary64)
(* x x)
(*.f64 x x)
(* (+ 1/6 (* x (* x -1/180))) (* x x))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(+ 1/6 (* x (* x -1/180)))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (* x -1/180))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
x
(* x -1/180)
(*.f64 x #s(literal -1/180 binary64))
-1/180
#s(literal -1/180 binary64)
(* x x)
(*.f64 x x)
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(+ -1/180 (/ 1/6 (* x x)))
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-1/180
#s(literal -1/180 binary64)
(/ 1/6 (* x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))))
x
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (* x x))) -1/32400)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
-1/32400
#s(literal -1/32400 binary64)
(+ 1/6 (* (* x x) 1/180))
(+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/180)
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
1/180
#s(literal 1/180 binary64)
(log (+ 1 (* x (* x 1/6))))
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* x (* x 1/6))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize4.4s (24.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
accuracy99.9%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.8%
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
accuracy99.8%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
accuracy99.9%
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.4%
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
accuracy99.9%
(*.f64 x #s(literal -1/180 binary64))
accuracy99.8%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
accuracy99.9%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
accuracy99.9%
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
accuracy99.8%
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
accuracy99.8%
(*.f64 x #s(literal 1/36 binary64))
Results
4.2s192×5exit
79.0ms56×1valid
6.0ms0valid
Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 304.0ms
backward-pass: 125.0ms (41.1% of total)
ival-mult: 58.0ms (19.1% of total)
...c/correct-round.rkt:119:19: 36.0ms (11.8% of total)
compiled-spec: 32.0ms (10.5% of total)
ival-log: 23.0ms (7.6% of total)
ival-div: 15.0ms (4.9% of total)
ival-add: 15.0ms (4.9% of total)
const: 1.0ms (0.3% of total)

series8.0ms (0%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))>
#<alt (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))>
#<alt (* x 1/36)>
#<alt (+ 1/6 (* 1/180 (* x x)))>
#<alt (* (+ 1/6 (* x (* x -1/180))) (* x x))>
#<alt (+ 1/6 (* x (* x -1/180)))>
#<alt (* x (* x -1/180))>
#<alt (* x -1/180)>
#<alt (* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x))))>
#<alt (+ -1/180 (/ 1/6 (* x x)))>
#<alt (/ 1/6 (* x x))>
#<alt (* x x)>
#<alt (/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))>
#<alt (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))))>
#<alt (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))>
#<alt (+ 1/36 (* (* x (* x (* x x))) -1/32400))>
#<alt (log (+ 1 (* x (* x 1/6))))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (* 1/180 (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (* x (* x (* x x))) -1/32400)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))>
#<alt 5>
#<alt (- 5 (* 150 (/ 1 (pow x 2))))>
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))>
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))>
#<alt 5>
#<alt (- 5 (* 150 (/ 1 (pow x 2))))>
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))>
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))>
#<alt (/ 5 x)>
#<alt (/ (- 5 (* 150 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x)>
#<alt (/ 5 x)>
#<alt (* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x))>
#<alt (* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x))>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/180 (pow x 2)))>
#<alt (+ 1/6 (* 1/180 (pow x 2)))>
#<alt (+ 1/6 (* 1/180 (pow x 2)))>
#<alt (* 1/180 (pow x 2))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/180 (pow x 2))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 (pow x 2))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))>
#<alt -1/180>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<alt -1/180>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)>
#<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 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* -1/32400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<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 (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* -1/32400 (pow x 4))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))
0.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@0
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))
0.0ms
x
@inf
(* x 1/36)
0.0ms
x
@-inf
(* x 1/36)

rewrite353.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
3654×/-lowering-/.f32
3654×/-lowering-/.f64
3418×*-lowering-*.f32
3418×*-lowering-*.f64
1888×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033159
1190134
21379134
08436134
Stop Event
iter limit
node limit
Counts
23 → 587
Calls
Call 1
Inputs
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))
(* x 1/36)
(+ 1/6 (* 1/180 (* x x)))
(* (+ 1/6 (* x (* x -1/180))) (* x x))
(+ 1/6 (* x (* x -1/180)))
(* x (* x -1/180))
(* x -1/180)
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x))))
(+ -1/180 (/ 1/6 (* x x)))
(/ 1/6 (* x x))
(* x x)
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))))
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
(log (+ 1 (* x (* x 1/6))))
(* x (* x 1/6))
(* x 1/6)
(* 1/180 (* x x))
(* x (* x (* x x)))
(* x (* x x))
(* (* x (* x (* x x))) -1/32400)
Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
(/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 (*.f64 x #s(literal -1/36 binary64)) x)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (*.f64 x #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(/.f64 x (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64)))
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))))
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 #s(literal 1/36 binary64) (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (*.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (*.f64 x #s(literal 1/36 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))))
(*.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/36 binary64)))
(neg.f64 (*.f64 x #s(literal -1/36 binary64)))
(*.f64 x #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) x)
(*.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/36 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))
(+.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/180 binary64))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/180 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/180 binary64))) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal 1/6 binary64))
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(*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64))))))
(*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal -1/1166400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (neg.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(-.f64 (log.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/32400 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))
(*.f64 #s(literal -1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64))) x)
(*.f64 (*.f64 #s(literal -1/32400 binary64) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) (*.f64 x x))

simplify245.0ms (1.4%)

Algorithm
egg-herbie
Rules
2252×*-lowering-*.f32
2252×*-lowering-*.f64
2188×+-lowering-+.f64
2188×+-lowering-+.f32
1902×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431834
14141537
211281529
332551529
479831529
085661529
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))
5
(- 5 (* 150 (/ 1 (pow x 2))))
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))
5
(- 5 (* 150 (/ 1 (pow x 2))))
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))
(/ 5 x)
(/ (- 5 (* 150 (/ 1 (pow x 2)))) x)
(/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x)
(/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x)
(/ 5 x)
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x))
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x))
(* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x))
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
1/6
(+ 1/6 (* 1/180 (pow x 2)))
(+ 1/6 (* 1/180 (pow x 2)))
(+ 1/6 (* 1/180 (pow x 2)))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 (pow x 2))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(/ 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))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* -1/32400 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* -1/32400 (pow x 5))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 5))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
1/36
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(* 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)
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
(* -1/32400 (pow x 4))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/5400 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5400 binary64) (*.f64 (*.f64 x x) #s(literal -1/162000 binary64))))))))
5
#s(literal 5 binary64)
(- 5 (* 150 (/ 1 (pow x 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x)))
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))))
5
#s(literal 5 binary64)
(- 5 (* 150 (/ 1 (pow x 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x)))
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/5400 binary64))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5400 binary64) (*.f64 (*.f64 x x) #s(literal -1/162000 binary64))))))))
(/ 5 x)
(/.f64 #s(literal 5 binary64) x)
(/ (- 5 (* 150 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) x)
(/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
(/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) x)
(/ 5 x)
(/.f64 #s(literal 5 binary64) x)
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x))
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
(* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) x)
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(+ 1/6 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(+ 1/6 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* -1/180 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* -1/180 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* -1/180 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* -1/180 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-1/180
#s(literal -1/180 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(+.f64 #s(literal -1/180 binary64) (/.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))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))
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1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/32400 (pow x 4)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))))
(+ 1/36 (* -1/32400 (pow x 4)))
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(+ 1/36 (* -1/32400 (pow x 4)))
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(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
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(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x #s(literal 1/648 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/648 binary64) (*.f64 (*.f64 x x) #s(literal -1/5184 binary64)))))))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
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(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
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(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
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(* 1/6 x)
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(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
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(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
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(*.f64 #s(literal 1/6 binary64) x)
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(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
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(* 1/6 x)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 3)
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(pow x 3)
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))
(* -1/32400 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64))))

eval143.0ms (0.8%)

Compiler

Compiled 25503 to 2334 computations (90.8% saved)

prune135.0ms (0.8%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New102971036
Fresh347
Picked325
Done066
Total1035191054
Accuracy
98.3%
Counts
1054 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.7%
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))))
97.3%
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
97.4%
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
97.5%
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
23.7%
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
97.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
49.1%
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x))
97.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
97.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
97.2%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))
97.5%
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
97.5%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
97.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
97.4%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
97.2%
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
50.7%
(log.f64 (/.f64 (sinh.f64 x) x))
50.6%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
1.8%
(log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
4.3%
#s(literal 5 binary64)
Compiler

Compiled 1460 to 350 computations (76% saved)

regimes37.0ms (0.2%)

Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 5 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))))))
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) #s(literal 1/6 binary64)))))))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
Calls

3 calls:

18.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
9.0ms
x
7.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
97.5%1x
97.5%1(log.f64 (/.f64 (sinh.f64 x) x))
97.5%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 5 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
Outputs
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 5 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
Outputs
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.1%1x
Compiler

Compiled 2 to 1 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 5 binary64)
Outputs
#s(literal 5 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
4.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
30×*-commutative_binary64
14×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441
14241
25441
36541
47141
57441
67541
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 5 binary64)
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x))
(*.f64 x (*.f64 x (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 5 binary64)

soundness1.6s (8.9%)

Rules
4340×*-lowering-*.f32
4340×*-lowering-*.f64
3654×/-lowering-/.f32
3654×/-lowering-/.f64
3418×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028156
1185136
21649136
09100136
01672284
14691951
212971933
336961867
081221867
059392
1163350
2471347
31530347
43322347
55867347
67331347
08086347
033159
1190134
21379134
08436134
01431834
14141537
211281529
332551529
479831529
085661529
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 148 to 97 computations (34.5% saved)

preprocess66.0ms (0.4%)

Remove

(abs x)

Compiler

Compiled 266 to 156 computations (41.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...