bug500, discussion (missed optimization)

Time bar (total: 15.9s)

analyze121.0ms (0.8%)

Algorithm
1×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: 18.0ms (37% of total)
ival-div: 15.0ms (30.8% of total)
ival-sinh: 14.0ms (28.8% of total)
const: 1.0ms (2.1% of total)
backward-pass: 1.0ms (2.1% of total)

sample4.3s (27.2%)

Results
1.9s5940×2valid
1.5s7672×5exit
299.0ms1993×1valid
18.0ms323×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log: 1.3s (50.9% of total)
backward-pass: 477.0ms (18.8% of total)
ival-sinh: 402.0ms (15.8% of total)
ival-div: 350.0ms (13.8% of total)
const: 17.0ms (0.7% of total)
Bogosity

preprocess258.0ms (1.6%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain185.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1332(8.011153329833017e-162)0-(log.f64 (/.f64 (sinh.f64 x) x))
00-0-x
00-0-(/.f64 (sinh.f64 x) x)
00-0-(sinh.f64 x)
Results
133.0ms356×2valid
24.0ms140×1valid
1.0ms16×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-log: 67.0ms (62% of total)
ival-sinh: 17.0ms (15.7% of total)
ival-div: 12.0ms (11.1% of total)
backward-pass: 11.0ms (10.2% of total)
const: 1.0ms (0.9% 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
▶52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify221.0ms (1.4%)

Algorithm
1×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
1×iter limit
1×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

localize80.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sinh.f64 x) x)
✓accuracy100.0%
(sinh.f64 x)
✓accuracy52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
Results
58.0ms178×2valid
13.0ms70×1valid
1.0ms8×0valid
Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 34.0ms (65.1% of total)
ival-sinh: 8.0ms (15.3% of total)
ival-div: 6.0ms (11.5% of total)
backward-pass: 5.0ms (9.6% of total)
const: 0.0ms (0% of total)

series70.0ms (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
37.0ms
x
@inf
(log (/ (sinh x) x))
28.0ms
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)

rewrite542.0ms (3.4%)

Algorithm
1×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
395211
0860111
Stop Event
1×iter limit
1×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 #s(literal 0 binary64) (/.f64 x (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 (/.f64 x #s(literal 2 binary64)) (sinh.f64 x)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (sinh.f64 x)))) (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 #s(literal 0 binary64) (/.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 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (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))))
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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))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.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 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #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 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #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)))))))

simplify175.0ms (1.1%)

Algorithm
1×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
1163372
2470366
31529366
43317366
55861366
67334366
08089366
Stop Event
1×iter limit
1×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 x (*.f64 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 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) 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)))

eval58.0ms (0.4%)

Compiler

Compiled 8533 to 1488 computations (82.6% saved)

prune53.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4068414
Fresh000
Picked011
Done000
Total4069415
Accuracy
98.8%
Counts
415 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.3%
(*.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 x (*.f64 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))))))))))
96.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
▶96.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
▶52.4%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
51.1%
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
51.4%
(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))))))))
▶51.3%
(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 230 to 150 computations (34.8% saved)

simplify255.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓cost-diff0
(sinh.f64 x)
✓cost-diff0
(/.f64 x (sinh.f64 x))
✓cost-diff0
(log.f64 (/.f64 x (sinh.f64 x)))
✓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 -1/180 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 (+.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 (*.f64 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 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
3642×fma-define
3384×fma-lowering-fma.f32
3384×fma-lowering-fma.f64
3216×sum4-define
1526×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033291
1111262
2382262
3970262
41941262
53408262
63701262
74156262
84645262
95065262
105639262
117280262
127731262
09129262
Stop Event
1×iter limit
1×node limit
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 (+ 1/2835 (* (* x x) -1/37800)))))))))
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)))))))
1/6
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(* x x)
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
-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 (* (* 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
(neg (log (/ x (sinh x))))
(log (/ x (sinh x)))
(/ x (sinh x))
x
(sinh x)
Outputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(*.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)))))))
x
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(*.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)))))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.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
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(*.f64 x (*.f64 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 (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(*.f64 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)))))))))
(+ 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)))))))
(* x x)
(*.f64 x x)
(+ -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 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(neg (log (/ x (sinh x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(log (/ x (sinh x)))
(log.f64 (/.f64 x (sinh.f64 x)))
(/ x (sinh x))
(/.f64 x (sinh.f64 x))
x
(sinh x)
(sinh.f64 x)

localize589.0ms (3.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓accuracy100.0%
(/.f64 x (sinh.f64 x))
✓accuracy100.0%
(sinh.f64 x)
✓accuracy52.5%
(log.f64 (/.f64 x (sinh.f64 x)))
✓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))))
✓accuracy53.6%
(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))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64))
✓accuracy99.7%
(*.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)))))))
✓accuracy99.5%
(*.f64 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)))))))))
✓accuracy99.4%
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 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)))))))
✓accuracy99.7%
(*.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
362.0ms178×2valid
147.0ms70×1valid
3.0ms8×0valid
Compiler

Compiled 295 to 34 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 327.0ms
ival-log: 87.0ms (26.6% of total)
ival-mult: 68.0ms (20.8% of total)
ival-sinh: 60.0ms (18.4% of total)
...c/correct-round.rkt:119:19: 47.0ms (14.4% of total)
backward-pass: 28.0ms (8.6% of total)
ival-add: 25.0ms (7.7% of total)
ival-div: 6.0ms (1.8% of total)
ival-neg: 4.0ms (1.2% of total)
const: 1.0ms (0.3% of total)

series120.0ms (0.8%)

Counts
22 → 264
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 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))>
#<alt (* 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 (* (* 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 (log (/ x (sinh x)))>
#<alt (/ x (sinh x))>
#<alt (sinh x)>
#<alt (neg (log (/ x (sinh x))))>
#<alt (* (* x x) 1/2835)>
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* (* x x) -1/37800)>
#<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) (- (* 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 (* (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 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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<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 (* -1/180 (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 (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp 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))))>
#<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 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<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))>
#<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

66 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
(log (/ x (sinh x)))
48.0ms
x
@inf
(log (/ x (sinh x)))
1.0ms
x
@0
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
1.0ms
x
@0
(log (/ x (sinh x)))
1.0ms
x
@inf
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))

rewrite437.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4334×*-lowering-*.f32
4334×*-lowering-*.f64
2860×/-lowering-/.f32
2860×/-lowering-/.f64
2310×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033228
1208203
21885203
08200203
Stop Event
1×iter limit
1×node limit
Counts
22 → 491
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 (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(* 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 (* (* 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)))
(log (/ x (sinh x)))
(/ x (sinh x))
(sinh x)
(neg (log (/ x (sinh x))))
(* (* x x) 1/2835)
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* (* x x) -1/37800)
(* (* x x) 1/120)
(+ 1/6 (* (* x x) 1/120))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 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 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) x))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 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 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
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(/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/46656 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.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 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/1296 binary64) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))

simplify269.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
4148×*-lowering-*.f32
4148×*-lowering-*.f64
2218×+-lowering-+.f64
2218×+-lowering-+.f32
1634×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02172618
16312504
218892459
363422455
083402455
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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 (* (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 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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
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 (* -1/180 (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)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp 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))))
(* 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 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* 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))
(* 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 (*.f64 x 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) (- (* 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)))))))
(* 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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -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))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
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 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.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 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.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)))))
(* 1/2835 (pow x 4))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/2835 (pow x 4))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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 -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* 1/2835 (pow x 4))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 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))))
(* 1/2835 (pow x 4))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (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 (* 1/180 (/ 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 (* 1/180 (/ 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))))
(* 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 (*.f64 x 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 x (*.f64 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))))))))))
(* -1/37800 (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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 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)))))))))
(* -1/37800 (pow x 7))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.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.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/37800 (pow x 7))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 (-.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.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 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 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.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 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(+.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))))))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 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 6) (- (+ (* 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 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/37800 binary64)) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* 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 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (*.f64 x (*.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 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 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))
(* -1/37800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/37800 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)))

eval116.0ms (0.7%)

Compiler

Compiled 24415 to 2350 computations (90.4% saved)

prune84.0ms (0.5%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New84914863
Fresh033
Picked145
Done011
Total85022872
Accuracy
99.0%
Counts
872 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
▶97.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
96.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
▶96.6%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
▶97.2%
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
97.3%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
97.3%
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
97.1%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))))
49.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))))
✓97.3%
(*.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 x (*.f64 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))))))))))
96.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
97.3%
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
50.2%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓96.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
51.4%
(neg.f64 (log.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
✓52.4%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
▶97.3%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
✓52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
51.1%
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
51.4%
(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))))))))
▶2.0%
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
Compiler

Compiled 1065 to 465 computations (56.3% saved)

simplify203.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))
✓cost-diff0
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff128
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff384
(-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
✓cost-diff2432
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
✓cost-diff2432
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 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 1/6480 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 (*.f64 x x) #s(literal 1/6480 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
✓cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓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
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
Rules
4458×*-lowering-*.f32
4458×*-lowering-*.f64
1908×fma-lowering-fma.f32
1908×fma-lowering-fma.f64
1898×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035347
1132318
2582259
33069255
08234255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(* (* 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
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480)))))
(* x x)
x
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
1/6
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(+ -1/180 (* (* x x) 1/6480))
-1/180
(* (* x x) 1/6480)
1/6480
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
x
(/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(* (* x 1/6) (* x 1/6))
(* x 1/6)
1/6
(* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))
(* (* x x) (+ -1/180 (* x (* x 1/2835))))
(* x x)
(+ -1/180 (* x (* x 1/2835)))
-1/180
(* x (* x 1/2835))
(* x 1/2835)
1/2835
(- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(log (* x (* 1/120 (* x (* x x)))))
(* x (* 1/120 (* x (* x x))))
x
(* 1/120 (* x (* x x)))
1/120
(* x (* x x))
(* x x)
Outputs
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(*.f64 (*.f64 x 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)
(* (* x 1/6) x)
(*.f64 x (*.f64 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 x) (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480)))))
(*.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 1/6480 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
(+ -1/180 (* (* x x) 1/6480))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
-1/180
#s(literal -1/180 binary64)
(* (* x x) 1/6480)
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
1/6480
#s(literal 1/6480 binary64)
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* 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 x (*.f64 x #s(literal 1/2835 binary64))))))))
x
(/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* 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 x (*.f64 x #s(literal 1/2835 binary64)))))))
(- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))))))
(* (* x 1/6) (* x 1/6))
(*.f64 x (*.f64 x #s(literal 1/36 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
(* (* x x) (+ -1/180 (* x (* x 1/2835))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/180 (* x (* x 1/2835)))
(+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))
-1/180
#s(literal -1/180 binary64)
(* x (* x 1/2835))
(*.f64 x (*.f64 x #s(literal 1/2835 binary64)))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
(- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64)))))
(log (* x (* 1/120 (* x (* x x)))))
(log.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* x (* 1/120 (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
x
(* 1/120 (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
1/120
#s(literal 1/120 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)

localize517.0ms (3.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))
✓accuracy99.8%
(log.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
✓accuracy99.8%
(*.f64 x #s(literal 1/2835 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
✓accuracy99.8%
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
✓accuracy99.9%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓accuracy100.0%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
Results
321.0ms178×5exit
108.0ms70×1valid
3.0ms8×0valid
Compiler

Compiled 392 to 34 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
backward-pass: 99.0ms (35.7% of total)
ival-mult: 65.0ms (23.4% of total)
...c/correct-round.rkt:119:19: 41.0ms (14.8% of total)
compiled-spec: 26.0ms (9.4% of total)
ival-log: 25.0ms (9% of total)
ival-add: 13.0ms (4.7% of total)
ival-sub: 5.0ms (1.8% of total)
ival-div: 3.0ms (1.1% of total)
const: 1.0ms (0.4% of total)

series36.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))>
#<alt (* x x)>
#<alt (+ 1/6 (* (* x x) 1/120))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480)))))>
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480))))>
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/6480)))>
#<alt (* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))>
#<alt (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))>
#<alt (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))>
#<alt (* (* x 1/6) (* x 1/6))>
#<alt (log (* x (* 1/120 (* x (* x x)))))>
#<alt (* x (* 1/120 (* x (* x x))))>
#<alt (* 1/120 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (* x x) 1/120)>
#<alt (* (* x x) 1/6480)>
#<alt (+ -1/180 (* (* x x) 1/6480))>
#<alt (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))>
#<alt (* x 1/2835)>
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) (- (* 1/6480 (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 (* 1/6 (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 1/6>
#<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)))))>
#<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 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 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 (* (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 (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))>
#<alt (* -1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 10) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* -1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 10) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt -1/180>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (* 1/6480 (pow x 2))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/32400 (pow x 6))>
#<alt (* (pow x 6) (+ 1/32400 (* -1/255150 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
Calls

66 calls:

TimeVariablePointExpression
12.0ms
x
@0
(log (* x (* 1/120 (* x (* x x)))))
8.0ms
x
@inf
(log (* x (* 1/120 (* x (* x x)))))
4.0ms
x
@-inf
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
1.0ms
x
@inf
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
1.0ms
x
@0
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))

rewrite456.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3928×*-lowering-*.f32
3928×*-lowering-*.f64
2666×/-lowering-/.f32
2666×/-lowering-/.f64
2226×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035232
1234178
22292174
09661174
Stop Event
1×iter limit
1×node limit
Counts
22 → 596
Calls
Call 1
Inputs
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(* x x)
(+ 1/6 (* (* x x) 1/120))
(* (* x 1/6) x)
(* x 1/6)
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480)))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(* x (/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
(/ (- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(- (* (* x 1/6) (* x 1/6)) (* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(* (* x 1/6) (* x 1/6))
(log (* x (* 1/120 (* x (* x x)))))
(* x (* 1/120 (* x (* x x))))
(* 1/120 (* x (* x x)))
(* x (* x x))
(* (* x x) 1/120)
(* (* x x) 1/6480)
(+ -1/180 (* (* x x) 1/6480))
(* (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(* x 1/2835)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))))
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.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 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 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 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 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)))))))
(fma.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))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) 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 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.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 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x x)) (*.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))))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/272097792000 binary64))))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/272097792000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal -1/1166400 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)))) (neg.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)) #s(literal 1/32400 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) (*.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)))) (*.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64)))) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/272097792000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)) #s(literal 1/32400 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64)))) (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/272097792000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64)))) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/5832000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/272097792000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6480 binary64))) #s(literal -1/180 binary64))))))
(*.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/41990400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) x))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) x) x)
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))) (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) x))
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x #s(literal 1/2835 binary64))
(*.f64 #s(literal 1/2835 binary64) x)

simplify235.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
3660×+-lowering-+.f64
3660×+-lowering-+.f32
2806×*-lowering-*.f32
2806×*-lowering-*.f64
1708×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01692041
14681960
212881942
337111931
080691931
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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) (- (* 1/6480 (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)))
(* 1/6 (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)
1/6
(+ 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)))))
(* 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 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (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) (- (* 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))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))
(* -1/8037225 (pow x 10))
(* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 10) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* -1/8037225 (pow x 10))
(* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 10) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 10) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(+ (log 1/120) (* 4 (log x)))
(+ (log 1/120) (* 4 (log x)))
(+ (log 1/120) (* 4 (log x)))
(+ (log 1/120) (* 4 (log x)))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
-1/180
(- (* 1/6480 (pow x 2)) 1/180)
(- (* 1/6480 (pow x 2)) 1/180)
(- (* 1/6480 (pow x 2)) 1/180)
(* 1/6480 (pow x 2))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 2))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/32400 (pow x 6))
(* (pow x 6) (+ 1/32400 (* -1/255150 (pow x 2))))
(* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 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 x (*.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (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 1/6480 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6480 binary64) (*.f64 (*.f64 x x) #s(literal 1/259200 binary64))))))))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 x)))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 x))) (/.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 x)) (+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -80 binary64) 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 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 x))) (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -80 binary64) x) (*.f64 x (*.f64 x x))))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+.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 20 binary64) (*.f64 x x)) (+.f64 (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.f64 (/.f64 #s(literal -80 binary64) x) (*.f64 x (*.f64 x x)))) (*.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))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (+.f64 (+.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal -80 binary64) 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))))))
(* 1/6 (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)
1/6
#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)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (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) (- (* 1/6480 (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 1/6480 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (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 1/6480 binary64)))))))
(* 1/6480 (pow x 6))
(*.f64 #s(literal 1/6480 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6480 binary64) (+.f64 (/.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) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6480 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/6480 (pow x 6))
(*.f64 #s(literal 1/6480 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
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(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
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(* 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))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/6480 (pow x 2)) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(- (* 1/6480 (pow x 2)) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(- (* 1/6480 (pow x 2)) 1/180)
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* 1/6480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
(* 1/32400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64))
(* (pow x 6) (+ 1/32400 (* -1/255150 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x #s(literal -1/255150 binary64)))))
(* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/255150 binary64) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)))))))
(* (pow x 6) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/32400 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/255150 binary64) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)))))))
(* 1/8037225 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/32400 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/32400 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/8037225 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/32400 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/32400 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))

eval188.0ms (1.2%)

Compiler

Compiled 58674 to 2651 computations (95.5% saved)

prune154.0ms (1%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1070101080
Fresh5712
Picked235
Done055
Total1077251102
Accuracy
99.0%
Counts
1102 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))
97.2%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
97.3%
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) #s(literal 1/6 binary64))))
▶27.1%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓97.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
96.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
▶49.4%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
50.2%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
✓96.6%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
▶97.3%
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
96.8%
(*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
97.1%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))))
49.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))))
✓97.3%
(*.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 x (*.f64 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))))))))))
▶96.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
50.2%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓96.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
51.4%
(neg.f64 (log.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
✓52.4%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓97.3%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
▶50.7%
(log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
96.6%
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
✓52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
51.4%
(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))))))))
Compiler

Compiled 920 to 479 computations (47.9% saved)

simplify188.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓cost-diff0
(log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff512
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff768
(+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓cost-diff768
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓cost-diff0
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 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 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
✓cost-diff128
(-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
✓cost-diff384
(/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
✓cost-diff384
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
Rules
2500×*-lowering-*.f32
2500×*-lowering-*.f64
2254×fma-lowering-fma.f32
2254×fma-lowering-fma.f64
1670×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043361
1157307
2605303
31925286
43877286
56995286
08042286
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
x
(/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(* (* 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)
(* x (* x (* x x)))
(* x (* x x))
-1/32400
(- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(* x 1/6)
1/6
(* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))
(* (* x x) (+ -1/180 (* x (* x 1/2835))))
(+ -1/180 (* x (* x 1/2835)))
-1/180
(* x (* x 1/2835))
(* x 1/2835)
1/2835
(* 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) (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
(* x x)
x
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(+ -1/180 (* (* x x) 1/6480))
-1/180
(* (* x x) 1/6480)
1/6480
(* (* x x) (+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))))
(* x x)
x
(+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x)))))))
(* x (* x -1/180))
(* x -1/180)
-1/180
(* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))
(* x (* x (* x x)))
(* x (* x x))
(+ 1/6480 (/ 1/6 (* x (* x (* x x)))))
1/6480
(/ 1/6 (* x (* x (* x x))))
1/6
(log (+ 1 (* (* x x) (* (* x x) 1/120))))
(* (* x x) (* (* x x) 1/120))
(* x x)
x
(* (* x x) 1/120)
1/120
Outputs
(* x (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
(/.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 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/2835 binary64))) #s(literal 1/180 binary64))))))
x
(/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(/.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 1/6 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/2835 binary64))) #s(literal 1/180 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)
(*.f64 x x)
(+ 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))
-1/32400
#s(literal -1/32400 binary64)
(- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/2835 binary64))) #s(literal 1/180 binary64))))))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* (* x x) (+ -1/180 (* x (* x 1/2835))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(+ -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))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
(* x (* x (+ 1/6 (* (* x x) -1/180))))
(*.f64 x (*.f64 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) (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
(* x x)
(*.f64 x x)
x
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
(+ -1/180 (* (* x x) 1/6480))
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
-1/180
#s(literal -1/180 binary64)
(* (* x x) 1/6480)
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
1/6480
#s(literal 1/6480 binary64)
(* (* x x) (+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
(* x x)
(*.f64 x x)
x
(+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x)))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(* x (* x -1/180))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(* x -1/180)
(*.f64 x #s(literal -1/180 binary64))
-1/180
#s(literal -1/180 binary64)
(* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6480 binary64)))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 1/6480 (/ 1/6 (* x (* x (* x x)))))
(+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
1/6480
#s(literal 1/6480 binary64)
(/ 1/6 (* x (* x (* x x))))
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(log (+ 1 (* (* x x) (* (* x x) 1/120))))
(log1p.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64)))
(* (* x x) (* (* x x) 1/120))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(* x x)
(*.f64 x x)
x
(* (* x x) 1/120)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)

localize690.0ms (4.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓accuracy100.0%
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/6480 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
✓accuracy99.9%
(/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
Results
525.0ms213×5exit
38.0ms35×1valid
3.0ms7×0valid
2.0ms1×2valid
Compiler

Compiled 416 to 42 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 355.0ms
backward-pass: 126.0ms (35.5% of total)
ival-mult: 104.0ms (29.3% of total)
...c/correct-round.rkt:119:19: 46.0ms (13% of total)
compiled-spec: 26.0ms (7.3% of total)
ival-add: 19.0ms (5.4% of total)
ival-log: 17.0ms (4.8% of total)
ival-div: 15.0ms (4.2% of total)
ival-sub: 2.0ms (0.6% of total)
const: 1.0ms (0.3% of total)

series19.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))>
#<alt (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))>
#<alt (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))>
#<alt (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400)))>
#<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) (* (* x x) (+ -1/180 (* (* x x) 1/6480))))>
#<alt (* x x)>
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/6480)))>
#<alt (+ -1/180 (* (* x x) 1/6480))>
#<alt (* (* x x) (+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))))>
#<alt (+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x)))))))>
#<alt (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))>
#<alt (log (+ 1 (* (* x x) (* (* x x) 1/120))))>
#<alt (* (* x x) (* (* x x) 1/120))>
#<alt (* (* x x) 1/120)>
#<alt (* (* x x) (+ -1/180 (* x (* x 1/2835))))>
#<alt (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))>
#<alt (* (* x x) 1/6480)>
#<alt (/ 1/6 (* x (* x (* x x))))>
#<alt (* x (* x -1/180))>
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 (* -1/42525 (pow x 2)))) 1/180))))>
#<alt (* 7/80 (pow x 2))>
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<alt (* 7/80 (pow x 2))>
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))>
#<alt (* 7/80 x)>
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<alt (* 7/80 x)>
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2))))))>
#<alt (* -1/2835 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))>
#<alt (* (pow x 5) (- (+ (/ 1/6 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))) 1/2835))>
#<alt (* (pow x 5) (- (+ (/ 1/6 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))) 1/2835))>
#<alt (* -1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))))>
#<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 (* 1/6 (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 (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 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 (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt -1/180>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (- (* 1/6480 (pow x 2)) 1/180)>
#<alt (* 1/6480 (pow x 2))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6480 (* 1/180 (/ 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 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 6))>
#<alt (* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/6480 (pow x 4)))>
#<alt (+ 1/6 (* 1/6480 (pow x 4)))>
#<alt (+ 1/6 (* 1/6480 (pow x 4)))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/6480 (pow x 4))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* -1/28800 (pow x 4))))>
#<alt (* (pow x 4) (+ 1/120 (* (pow x 4) (- (* 1/5184000 (pow x 4)) 1/28800))))>
#<alt (* (pow x 4) (+ 1/120 (* (pow x 4) (- (* (pow x 4) (+ 1/5184000 (* -1/829440000 (pow x 4)))) 1/28800))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 120 (/ 1 (pow x 4)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 120 (/ 1 (pow x 4))))) (/ 7200 (pow x 8)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 120 (/ 1 (pow x 4))) (* 576000 (/ 1 (pow x 12)))))) (/ 7200 (pow x 8)))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 120 (/ 1 (pow x 4)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 120 (/ 1 (pow x 4))))) (/ 7200 (pow x 8)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 120 (/ 1 (pow x 4))) (* 576000 (/ 1 (pow x 12)))))) (/ 7200 (pow x 8)))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<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 (* -1/180 (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 (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 3) (- (* 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 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/2835 (* 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)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (* 1/6480 (pow x 2))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (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))>
Calls

69 calls:

TimeVariablePointExpression
8.0ms
x
@0
(log (+ 1 (* (* x x) (* (* x x) 1/120))))
2.0ms
x
@inf
(log (+ 1 (* (* x x) (* (* x x) 1/120))))
1.0ms
x
@inf
(* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400)))
0.0ms
x
@inf
(* x (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
0.0ms
x
@inf
(* x (* x (+ 1/6 (* (* x x) -1/180))))

rewrite396.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3486×*-lowering-*.f32
3486×*-lowering-*.f64
2794×/-lowering-/.f32
2794×/-lowering-/.f64
2584×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043269
1287227
22548212
08593212
Stop Event
1×iter limit
1×node limit
Counts
23 → 727
Calls
Call 1
Inputs
(* x (/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))
(/ (* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400))) (- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))))
(- (* x 1/6) (* x (* (* x x) (+ -1/180 (* x (* x 1/2835))))))
(* (* x x) (+ 1/36 (* (* x (* x (* x x))) -1/32400)))
(* 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) (* (* x x) (+ -1/180 (* (* x x) 1/6480))))
(* x x)
(* (* x x) (+ -1/180 (* (* x x) 1/6480)))
(+ -1/180 (* (* x x) 1/6480))
(* (* x x) (+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))))
(+ (* x (* x -1/180)) (* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x)))))))
(* (* x (* x (* x x))) (+ 1/6480 (/ 1/6 (* x (* x (* x x))))))
(log (+ 1 (* (* x x) (* (* x x) 1/120))))
(* (* x x) (* (* x x) 1/120))
(* (* x x) 1/120)
(* (* x x) (+ -1/180 (* x (* x 1/2835))))
(* x (* (* x x) (+ -1/180 (* x (* x 1/2835)))))
(* (* x x) 1/6480)
(/ 1/6 (* x (* x (* x x))))
(* x (* x -1/180))
Outputs
(/.f64 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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.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))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) (*.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 #s(literal -1 binary64) (neg.f64 (/.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))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))) (*.f64 x (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 #s(literal 1 binary64) 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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))) (*.f64 x (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 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) x) (*.f64 x (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 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) 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 (neg.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))) (neg.f64 (*.f64 x (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 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))))) (neg.f64 (*.f64 x (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 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) x)) (neg.f64 (*.f64 x (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 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) x)) (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))))))))
(pow.f64 (/.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))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) 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 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))) (*.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 (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))) (*.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 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) 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 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (*.f64 x 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 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 x (*.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 x)) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.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 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) (*.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))))))) (*.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 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))))))))
(exp.f64 (*.f64 (log.f64 (/.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))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.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)

simplify270.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3140×*-lowering-*.f32
3140×*-lowering-*.f64
2622×+-lowering-+.f64
2622×+-lowering-+.f32
1952×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01962297
15512213
215772177
346962159
084302159
Stop Event
1×iter limit
1×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) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))
(* 7/80 (pow x 2))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 7/80 (pow x 2))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))
(* 7/80 x)
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 7/80 x)
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2))))))
(* -1/2835 (pow x 5))
(* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))
(* (pow x 5) (- (+ (/ 1/6 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))) 1/2835))
(* (pow x 5) (- (+ (/ 1/6 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))) 1/2835))
(* -1/2835 (pow x 5))
(* -1 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))))
(* 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))
(* 1/6 (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))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 4) (- (* 1/6480 (pow x 2)) 1/180))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 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)
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
-1/180
(- (* 1/6480 (pow x 2)) 1/180)
(- (* 1/6480 (pow x 2)) 1/180)
(- (* 1/6480 (pow x 2)) 1/180)
(* 1/6480 (pow x 2))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 2))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6480 (* 1/180 (/ 1 (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) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 6))
(* (pow x 6) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6480 (pow x 4))
(* (pow x 4) (- 1/6480 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/6480 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/6480 (pow x 4)))
(+ 1/6 (* 1/6480 (pow x 4)))
(+ 1/6 (* 1/6480 (pow x 4)))
(* 1/6480 (pow x 4))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* 1/6480 (pow x 4))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6480 (* 1/6 (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* -1/28800 (pow x 4))))
(* (pow x 4) (+ 1/120 (* (pow x 4) (- (* 1/5184000 (pow x 4)) 1/28800))))
(* (pow x 4) (+ 1/120 (* (pow x 4) (- (* (pow x 4) (+ 1/5184000 (* -1/829440000 (pow x 4)))) 1/28800))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 120 (/ 1 (pow x 4)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 120 (/ 1 (pow x 4))))) (/ 7200 (pow x 8)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 120 (/ 1 (pow x 4))) (* 576000 (/ 1 (pow x 12)))))) (/ 7200 (pow x 8)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 120 (/ 1 (pow x 4)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 120 (/ 1 (pow x 4))))) (/ 7200 (pow x 8)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 120 (/ 1 (pow x 4))) (* 576000 (/ 1 (pow x 12)))))) (/ 7200 (pow x 8)))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 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))
(* -1/180 (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)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 3) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 3) (- (* 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 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/2835 (* 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 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(* 1/6480 (pow x 2))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (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))
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 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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (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 -1/42525 binary64)))))))))
(* 7/80 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(+.f64 (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/80 binary64) (/.f64 #s(literal 2067849/5120 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 7/80 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(+.f64 (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/80 binary64) (/.f64 #s(literal 2067849/5120 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))
(*.f64 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 -1/42525 binary64)))))))))
(* 7/80 x)
(*.f64 x #s(literal 7/80 binary64))
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 7/80 binary64)) (/.f64 #s(literal 441/320 binary64) x))
(* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(+.f64 (+.f64 (*.f64 x #s(literal 7/80 binary64)) (/.f64 #s(literal 441/320 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x)))))
(* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -441/320 binary64) x) (*.f64 x (+.f64 #s(literal -7/80 binary64) (/.f64 #s(literal -2067849/5120 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 7/80 x)
(*.f64 x #s(literal 7/80 binary64))
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
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eval211.0ms (1.3%)

Compiler

Compiled 41411 to 2932 computations (92.9% saved)

prune143.0ms (0.9%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New1188131201
Fresh6612
Picked325
Done088
Total1197291226
Accuracy
99.0%
Counts
1226 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.1%
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) 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)))))))
96.9%
(/.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 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
97.2%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
2.0%
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))))
4.6%
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
96.9%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x))
96.8%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))
28.8%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
50.6%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
✓97.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
✓96.6%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
96.9%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
96.5%
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
96.2%
(*.f64 x (/.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 1/6 binary64) x)))
1.1%
(*.f64 x (/.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 -1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
97.1%
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))))
49.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))))
✓97.3%
(*.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 x (*.f64 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))))))))))
✓96.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
50.2%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
56.8%
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
✓96.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓52.4%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓97.3%
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
✓50.7%
(log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
96.6%
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
✓52.5%
(log.f64 (/.f64 (sinh.f64 x) x))
51.4%
(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))))))))
Compiler

Compiled 1586 to 539 computations (66% saved)

regimes43.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (*.f64 x 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 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(*.f64 x (/.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 1/6 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 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 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(/.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 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x (/.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 -1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) 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 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))))
(log1p.f64 (*.f64 (*.f64 x 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 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(log1p.f64 (*.f64 (*.f64 x 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))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))))
(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))))))))
(neg.f64 (log.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
Outputs
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
Calls

3 calls:

16.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
12.0ms
x
10.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(log.f64 (/.f64 (sinh.f64 x) x))
97.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.1%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (*.f64 x 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 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(*.f64 x (/.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 1/6 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 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 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(/.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 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x (/.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 -1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) 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 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))))))
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))))
(log1p.f64 (*.f64 (*.f64 x 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 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
Outputs
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (*.f64 x 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 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(*.f64 x (/.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 1/6 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6480 binary64))))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 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 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(/.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 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.f64 x (/.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 -1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6480 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))))) 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)))))))
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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 (*.f64 x 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 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6480 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) (+.f64 #s(literal 441/320 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -20097/1280 binary64) (*.f64 x x)))))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -58.9b remaining (-2740.4%)

Threshold costs -58.9b (-2740.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 7/80 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 7/80 binary64))) #s(literal 441/320 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
58×*-commutative_binary64
32×+-commutative_binary64
20×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03780
16880
28080
39280
410680
512280
613580
714180
814480
914580
Stop Event
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.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 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Outputs
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (/.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(*.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 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))

soundness4.1s (25.6%)

Rules
4334×*-lowering-*.f32
4334×*-lowering-*.f64
3660×+-lowering-+.f64
3660×+-lowering-+.f32
2860×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033228
1208203
21885203
08200203
01692041
14681960
212881942
337111931
080691931
059392
1163372
2470366
31529366
43317366
55861366
67334366
08089366
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 200 to 111 computations (44.5% saved)

preprocess52.0ms (0.3%)

Remove

(abs x)

Compiler

Compiled 288 to 148 computations (48.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...