bug500, discussion (missed optimization)

Time bar (total: 16.6s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample11.7s (70.2%)

Results
6.1s7885×body8192exit
4.2s4235×body2048valid
901.0ms2029×body1024valid
299.0ms974×body512valid
135.0ms1018×body256valid
Bogosity

preprocess226.0ms (1.4%)

Algorithm
egg-herbie
Rules
601×+-commutative
417×fma-def
369×distribute-lft-neg-in
353×distribute-rgt-neg-in
340×associate-+r-
Problems
135×(log.f64 (/.f64 (sinh.f64 x) x))
121×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01363
13263
27463
319663
461763
5288363
6771363
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 (/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x)))
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 (/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x)))
(log.f64 (/.f64 (sinh.f64 x) x))
Symmetry

(abs x)

Compiler

Compiled 20 to 9 computations (55% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize127.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sinh.f64 x)
100.0%
(/.f64 (sinh.f64 x) x)
52.7%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series47.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(log.f64 (/.f64 (sinh.f64 x) x))
19.0ms
x
@-inf
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
x
@0
(log.f64 (/.f64 (sinh.f64 x) x))
0.0ms
x
@0
(sinh.f64 x)
0.0ms
x
@0
(/.f64 (sinh.f64 x) x)

rewrite144.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
685×associate-*l*
353×*-un-lft-identity
341×add-sqr-sqrt
330×associate-*r/
315×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0963
19163
2117963
Stop Event
node limit
Counts
3 → 30
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
886×fma-def
480×associate--r+
470×associate-+l-
447×+-commutative
426×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0731436
11781412
24201348
311331348
426941348
553301348
Stop Event
node limit
Counts
66 → 68
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
x
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
Outputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/180 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 -1/180 (pow.f64 x 4)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/180 1/6))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2835 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/180 1/6) (*.f64 1/2835 (pow.f64 x 6)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 -1/37800 (pow.f64 x 8) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 -1/37800 (pow.f64 x 8) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2835 (pow.f64 x 6)))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 2) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 -1/37800 (pow.f64 x 8)))))
(fma.f64 1/6 (pow.f64 x 2) (fma.f64 -1/37800 (pow.f64 x 8) (fma.f64 -1/180 (pow.f64 x 4) (*.f64 1/2835 (pow.f64 x 6)))))
(fma.f64 1/6 (pow.f64 x 2) (fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 -1/37800 (pow.f64 x 8)))))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 (exp.f64 x) -1/2 (/.f64 1/2 (exp.f64 x)))) (log.f64 (/.f64 -1 x)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 1/6 (pow.f64 x 2) 1) (*.f64 (pow.f64 x 4) 1/120))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 1/6 (pow.f64 x 2) 1))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/120 1/6) 1)
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 (fma.f64 (pow.f64 x 6) 1/5040 (*.f64 (pow.f64 x 4) 1/120)) (fma.f64 1/6 (pow.f64 x 2) 1))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 (fma.f64 1/6 (pow.f64 x 2) 1)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/120 1/6) (fma.f64 (pow.f64 x 6) 1/5040 1))
(fma.f64 1/6 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (pow.f64 x 6) 1/5040 1)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 1/6 (pow.f64 x 2) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 x 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) x)
x
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4
-4
-2
-1
-1/2
0
1/4
1/2
1
2
4

eval18.0ms (0.1%)

Compiler

Compiled 844 to 627 computations (25.7% saved)

prune27.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New571168
Fresh000
Picked011
Done000
Total571269
Accuracy
95.9%
Counts
69 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
51.5%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
51.7%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
52.0%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
4.9%
4
4.9%
1/4
49.8%
0
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
51.5%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
51.7%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
52.0%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
4.9%
4
4.9%
1/4
49.8%
0
Compiler

Compiled 488 to 404 computations (17.2% saved)

localize856.0ms (5.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 1/5040 (pow.f64 x 6))
99.8%
(*.f64 1/120 (pow.f64 x 4))
99.7%
(*.f64 1/6 (pow.f64 x 2))
56.9%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
95.8%
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
56.6%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
14.4%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
99.8%
(*.f64 -1/180 (pow.f64 x 4))
99.7%
(*.f64 1/6 (pow.f64 x 2))
99.7%
(*.f64 1/6 (pow.f64 x 2))
99.9%
(*.f64 -1/37800 (pow.f64 x 8))
99.8%
(*.f64 1/2835 (pow.f64 x 6))
99.8%
(*.f64 -1/180 (pow.f64 x 4))
99.7%
(*.f64 1/6 (pow.f64 x 2))
Compiler

Compiled 282 to 205 computations (27.3% saved)

series67.0ms (0.4%)

Counts
15 → 43
Calls

45 calls:

TimeVariablePointExpression
35.0ms
x
@inf
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
22.0ms
x
@-inf
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
1.0ms
x
@0
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
1.0ms
x
@inf
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
1.0ms
x
@0
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
248×pow1
243×associate-*r*
241×*-un-lft-identity
239×add-cbrt-cube
236×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041240
1573240
Stop Event
node limit
Counts
15 → 2085
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -1/180 (pow.f64 x 4))
(*.f64 1/2835 (pow.f64 x 6))
(*.f64 -1/37800 (pow.f64 x 8))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/120 (pow.f64 x 4))
(*.f64 1/5040 (pow.f64 x 6))
Outputs
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
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1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16

simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
773×associate-*r/
510×associate--l-
486×associate--r-
435×*-commutative
387×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02253901
13833825
28033797
322103789
456063789
Stop Event
node limit
Counts
2128 → 232
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -1/180 (pow.f64 x 4))
(*.f64 -1/180 (pow.f64 x 4))
(*.f64 2 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -53/1814400 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 42 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 42 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6)))))
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -1/180 (pow.f64 x 4))
(*.f64 -1/180 (pow.f64 x 4))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 x 2)))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16
-1
-883/5040
-11771/67200
-7/40
-881/5040
-25/144
-1/6
-4231751/25401600
-839/5040
-35/216
-29/180
-797/5040
-1/29
-37/1080
-779689/25401600
-49/1600
-881/28800
-1/36
-13/720
-43/5040
-1/120
-41/5040
-7441/1166400
-1/180
-1/216
-5333/1166400
-1/720
-7/6480
-776161/829440000
-1/1080
-29/32400
-1/5040
-31/194400
-1/6480
-1/28800
-1/37800
-1/5832000
0
1/128024064000
1/1428840000
1/25401600
1/8037225
1/1728000
79507/128024064000
1/604800
7/1152000
6859/373248000
29791/1259712000
1/32400
1/30240
1/28800
883/25401600
47/1152000
1/14400
1849/25401600
11/67200
1/5040
19/86400
1/4320
1/2835
247/518400
361/518400
961/1166400
1/1080
776161/829440000
1147/1166400
1/883
1/720
43/30240
7/4800
37969/25401600
7/4320
42875/10077696
1/216
15625/2985984
1630947867011/303464448000000
1/180
1/144
3959/518400
5039/604800
1/120
737/86400
43/5040
4567/518400
203/7776
1225/46656
19/720
29/1080
1/36
31/1080
7/240
883/30240
625/20736
35/1152
881/28800
883/28800
138556441/4515840000
10393793/338688000
1/21
19/120
173/1080
29/180
35/216
4997/30240
4199329/25401600
1073/6480
179/1080
1/6
841/5040
121/720
727/4320
31/180
25/144
881/5040
5039/28800
7/40
5041/28800
201647/1152000
11771/67200
883/5040
127/720
1/4
5/12
1/2
20/21
125/126
882/883
35313/35320
1
175/174
30/29
3/2
2
3
4
6
8
12
16

eval184.0ms (1.1%)

Compiler

Compiled 7574 to 6354 computations (16.1% saved)

prune145.0ms (0.9%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New63613649
Fresh426
Picked145
Done011
Total64120661
Accuracy
95.9%
Counts
661 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
51.7%
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
4.4%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
3.4%
(+.f64 (log.f64 1/5040) (fma.f64 (neg.f64 (log.f64 x)) -6 (/.f64 42 (pow.f64 x 2))))
3.2%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
4.9%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))))
4.9%
16
4.9%
5/12
4.9%
29/1080
4.9%
1/883
5.0%
776161/829440000
4.9%
1/1428840000
5.0%
1/128024064000
49.8%
0
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
51.7%
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
4.4%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
3.4%
(+.f64 (log.f64 1/5040) (fma.f64 (neg.f64 (log.f64 x)) -6 (/.f64 42 (pow.f64 x 2))))
3.2%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
4.9%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))))
4.9%
16
4.9%
5/12
4.9%
29/1080
4.9%
1/883
5.0%
776161/829440000
4.9%
1/1428840000
5.0%
1/128024064000
49.8%
0
Compiler

Compiled 574 to 482 computations (16% saved)

localize823.0ms (5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))
99.9%
(*.f64 1/5040 (pow.f64 x 6))
99.8%
(*.f64 1/120 (pow.f64 x 4))
100.0%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
99.8%
(/.f64 42 (pow.f64 x 2))
99.7%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
99.4%
(*.f64 6 (log.f64 x))
99.7%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
99.4%
(*.f64 6 (log.f64 x))
100.0%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
99.8%
(*.f64 -1/180 (pow.f64 x 4))
99.9%
(*.f64 1/2520 (pow.f64 x 7))
99.9%
(*.f64 1/60 (pow.f64 x 5))
99.8%
(*.f64 1/3 (pow.f64 x 3))
56.6%
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
Compiler

Compiled 311 to 244 computations (21.5% saved)

series25.0ms (0.2%)

Counts
15 → 80
Calls

45 calls:

TimeVariablePointExpression
11.0ms
x
@0
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
5.0ms
x
@0
(*.f64 6 (log.f64 x))
1.0ms
x
@-inf
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
1.0ms
x
@0
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
1.0ms
x
@inf
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))

rewrite125.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
325×add-cbrt-cube
317×add-exp-log
314×add-log-exp
310×add-cube-cbrt
310×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050366
1745366
Stop Event
node limit
Counts
15 → 232
Calls
Call 1
Inputs
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
(*.f64 6 (log.f64 x))
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
(*.f64 6 (log.f64 x))
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
(/.f64 42 (pow.f64 x 2))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
(*.f64 1/120 (pow.f64 x 4))
(*.f64 1/5040 (pow.f64 x 6))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))
Outputs
(+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))) (log.f64 x)))
(*.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))) 1)
(*.f64 1 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))) (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))) 2)))
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(/.f64 (+.f64 (*.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 3)) (+.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (-.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 1/5040 (pow.f64 x 6))))))
(/.f64 (+.f64 (*.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 3)) (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (pow.f64 x 6) (*.f64 1/5040 (fma.f64 1/120 (pow.f64 x 4) 16))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 2) (*.f64 (pow.f64 x 12) 1/25401600)) (-.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 1/5040 (pow.f64 x 6))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6)))) 256) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) 16))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) 3) 4096) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6)))) (-.f64 256 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) 16))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/25401600) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 2))) (neg.f64 (-.f64 (*.f64 1/5040 (pow.f64 x 6)) (fma.f64 1/120 (pow.f64 x 4) 16))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (-.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 1/5040 (pow.f64 x 6)))))))
(pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 1)
(sqrt.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 2))
(log.f64 (exp.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(cbrt.f64 (*.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 2)))
(expm1.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(exp.f64 (log.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(log1p.f64 (expm1.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))

simplify181.0ms (1.1%)

Algorithm
egg-herbie
Rules
608×associate-+l+
564×+-commutative
511×associate-+r+
308×associate-*r*
300×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064619415
1164217216
2592717216
Stop Event
node limit
Counts
312 → 353
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -53/1814400 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/5040) (*.f64 -7 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6)))))))
5/12
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(/.f64 42 (pow.f64 x 2))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
16
(+.f64 16 (*.f64 1/120 (pow.f64 x 4)))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 1/5040 (pow.f64 x 6))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 1/5040 (pow.f64 x 6))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 16 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))) (log.f64 x)))
(*.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))) 1)
(*.f64 1 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))) (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))) x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))))) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x)) (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 3) (pow.f64 (log.f64 x) 3))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 (*.f64 1/2 (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))))) (log.f64 x)))))
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(exp.f64 (log.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(log1p.f64 (expm1.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/180 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2835 (pow.f64 x 6))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -53/1814400 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 -53/1814400 (pow.f64 x 8) (fma.f64 1/2835 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 -1/180 (pow.f64 x 4) (fma.f64 -53/1814400 (pow.f64 x 8) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2835 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x))) (/.f64 42 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2)))) (/.f64 42 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 42 (pow.f64 x 4)) (/.f64 5544 (pow.f64 x 6))))
(-.f64 (-.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2)))) (/.f64 5544 (pow.f64 x 6))) (/.f64 42 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 -1/5040) (*.f64 -7 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1/5040) (*.f64 -7 (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (log.f64 -1/5040)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1/5040) (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1/5040) (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 -1/5040) (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2)))) (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/5040) (-.f64 (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (-.f64 (/.f64 42 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 4))) (*.f64 5544 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 -1/5040) (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 4))) (/.f64 5544 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/5040) (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (+.f64 (+.f64 (/.f64 42 (pow.f64 x 4)) (/.f64 5544 (pow.f64 x 6))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 -1/5040) (-.f64 (fma.f64 -7 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (+.f64 (/.f64 42 (pow.f64 x 4)) (+.f64 (/.f64 5544 (pow.f64 x 6)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
5/12
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(*.f64 -1/180 (pow.f64 x 4))
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(+.f64 5/12 (*.f64 -1/180 (pow.f64 x 4)))
(fma.f64 -1/180 (pow.f64 x 4) 5/12)
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 -6 (log.f64 (/.f64 1 x)))
(*.f64 -6 (neg.f64 (log.f64 x)))
(*.f64 6 (log.f64 x))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(/.f64 42 (pow.f64 x 2))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (log.f64 x)) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/5040) (fma.f64 -7 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 1/5040) (*.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (fma.f64 6 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (fma.f64 6 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
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(/.f64 (fma.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) -256) (+.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) -16))
(/.f64 (fma.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) -256) (fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (pow.f64 x 6) 1/5040 -16)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) 3) 4096) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6)))) (-.f64 256 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/120) (*.f64 1/5040 (pow.f64 x 6))) 16))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) 3) 4096) (fma.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) (-.f64 256 (*.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) 3) 4096) (+.f64 (fma.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) 256) (*.f64 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)) -16)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/25401600) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 2))) (neg.f64 (-.f64 (*.f64 1/5040 (pow.f64 x 6)) (fma.f64 1/120 (pow.f64 x 4) 16))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 2) (*.f64 (pow.f64 x 12) 1/25401600)) (+.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 -1/5040 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/120 16) 2) (*.f64 (pow.f64 x 12) -1/25401600)) (+.f64 (fma.f64 (pow.f64 x 4) 1/120 16) (*.f64 (pow.f64 x 6) -1/5040)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (-.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 1/5040 (pow.f64 x 6)))))))
(/.f64 (neg.f64 (fma.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/120 (pow.f64 x 4) 16) 3))) (neg.f64 (fma.f64 (pow.f64 x 12) 1/25401600 (*.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (+.f64 (fma.f64 1/120 (pow.f64 x 4) 16) (*.f64 -1/5040 (pow.f64 x 6)))))))
(*.f64 1 (/.f64 (fma.f64 1/128024064000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 (pow.f64 x 4) 1/120 16) 3)) (fma.f64 (fma.f64 (pow.f64 x 4) 1/120 16) (+.f64 (fma.f64 (pow.f64 x 4) 1/120 16) (*.f64 (pow.f64 x 6) -1/5040)) (*.f64 (pow.f64 x 12) 1/25401600))))
(pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 1)
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))
(sqrt.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 2))
(fabs.f64 (fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16)))
(log.f64 (exp.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))
(cbrt.f64 (*.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16)) 2)))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))
(exp.f64 (log.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))
(log1p.f64 (expm1.f64 (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))))
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))
(fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/120 (pow.f64 x 4) 16))
(+.f64 16 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 (pow.f64 x 4) 1/120 16))

eval210.0ms (1.3%)

Compiler

Compiled 10599 to 8616 computations (18.7% saved)

prune90.0ms (0.5%)

Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New39214406
Fresh1910
Picked235
Done055
Total39531426
Accuracy
95.9%
Counts
426 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) 216 (pow.f64 (log.f64 1/5040) 3)) (fma.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)) (pow.f64 (log.f64 1/5040) 2)))
3.2%
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (*.f64 (pow.f64 (log.f64 x) 3) 216)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 (log.f64 x) 6) (-.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))))
3.4%
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
3.2%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
0.7%
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
0.7%
(+.f64 (+.f64 (log.f64 1/5040) (exp.f64 (log.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (/.f64 1 (+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 x))))) (/.f64 42 (pow.f64 x 2)))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
4.4%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
3.2%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
0.7%
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
0.7%
(+.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
3.4%
(*.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2)))) 1)
3.4%
(*.f64 (cbrt.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2)))) 2)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
50.4%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
50.4%
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
3.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
4.9%
16
4.9%
5/12
4.9%
29/1080
4.9%
1/883
5.0%
776161/829440000
4.9%
1/1428840000
5.0%
1/128024064000
49.8%
0
3.2%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) 216 (pow.f64 (log.f64 1/5040) 3)) (fma.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)) (pow.f64 (log.f64 1/5040) 2)))
3.2%
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (*.f64 (pow.f64 (log.f64 x) 3) 216)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 (log.f64 x) 6) (-.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))))
3.4%
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
3.2%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
0.7%
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
0.7%
(+.f64 (+.f64 (log.f64 1/5040) (exp.f64 (log.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (/.f64 1 (+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 x))))) (/.f64 42 (pow.f64 x 2)))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
4.4%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
3.2%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
0.7%
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
0.7%
(+.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
3.4%
(*.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2)))) 1)
3.4%
(*.f64 (cbrt.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2)))) 2)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
50.4%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
50.4%
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
3.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
4.9%
16
4.9%
5/12
4.9%
29/1080
4.9%
1/883
5.0%
776161/829440000
4.9%
1/1428840000
5.0%
1/128024064000
49.8%
0
Compiler

Compiled 1350 to 1142 computations (15.4% saved)

localize296.0ms (1.8%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (log.f64 x) 6)
100.0%
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
100.0%
(/.f64 42 (pow.f64 x 2))
99.9%
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))
100.0%
(*.f64 (log.f64 x) 6)
100.0%
(+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))
100.0%
(/.f64 42 (pow.f64 x 2))
99.9%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
100.0%
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
100.0%
(*.f64 (log.f64 x) 6)
99.9%
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))
100.0%
(*.f64 (pow.f64 x 6) 1/5040)
100.0%
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
100.0%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
100.0%
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
100.0%
(*.f64 1/5040 (pow.f64 x 6))
100.0%
(*.f64 1/120 (pow.f64 x 4))
Compiler

Compiled 247 to 188 computations (23.9% saved)

series20.0ms (0.1%)

Counts
13 → 147
Calls

39 calls:

TimeVariablePointExpression
8.0ms
x
@0
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
8.0ms
x
@inf
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
1.0ms
x
@0
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
0.0ms
x
@inf
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
0.0ms
x
@-inf
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))

rewrite262.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
630×associate-+l+
352×+-commutative
312×associate-+r+
223×pow1
213×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036323
1557307
27023307
Stop Event
node limit
Counts
13 → 551
Calls
Call 1
Inputs
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
(*.f64 (pow.f64 x 6) 1/5040)
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))
(*.f64 (log.f64 x) 6)
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
(+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))
(*.f64 (log.f64 x) 6)
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
(*.f64 (log.f64 x) 6)
Outputs
(-.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1)) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 12) 1/25401600) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/14400) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4)))))
(*.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (pow.f64 x 8) 1/14400)) (/.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4)))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 6)) 3) (*.f64 (pow.f64 x 12) 1/1728000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 12) 1/25401600) (-.f64 (*.f64 (pow.f64 x 8) 1/14400) (*.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))))
(*.f64 (sqrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 -1/120 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 12) 1/25401600) (*.f64 (pow.f64 x 8) 1/14400))))
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(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (*.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (-.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x))))) (+.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (/.f64 1764 (pow.f64 x 4))) (+.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 -42 (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 2)) (-.f64 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))
(/.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 3) (/.f64 74088 (pow.f64 x 6))) (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (-.f64 (/.f64 1764 (pow.f64 x 4)) (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 3) (/.f64 74088 (pow.f64 x 6))) (+.f64 (/.f64 1764 (pow.f64 x 4)) (-.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (*.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (-.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 3)) (+.f64 (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 2) (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (*.f64 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))) (-.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2)))))
(/.f64 (-.f64 (/.f64 1764 (pow.f64 x 4)) (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2)) (-.f64 (*.f64 42 (pow.f64 x -2)) (fma.f64 6 (log.f64 x) (log.f64 1/5040))))
(/.f64 (-.f64 (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (-.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))) 1) (+.f64 2 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))) 3)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (-.f64 (*.f64 (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2)))) (*.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 1))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (*.f64 (pow.f64 x 2) 1/42)) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) 1)) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) (*.f64 (pow.f64 x 2) 1/42)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (pow.f64 x 2)) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) 42)) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (neg.f64 (pow.f64 x 2))) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) -42)) (*.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) (neg.f64 (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)) (*.f64 (pow.f64 x 2) 1/42)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) 1)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) (*.f64 (pow.f64 x 2) 1/42)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)) (pow.f64 x 2)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) 42)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)) (neg.f64 (pow.f64 x 2))) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) -42)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) (neg.f64 (pow.f64 x 2))))
(/.f64 (+.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (+.f64 (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3))))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (+.f64 (*.f64 42 (log.f64 (/.f64 1/5040 (pow.f64 x 6)))) (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (*.f64 42 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))) (*.f64 (pow.f64 x 2) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)))) (*.f64 (pow.f64 x 2) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (+.f64 (*.f64 -42 (log.f64 (/.f64 1/5040 (pow.f64 x 6)))) (*.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (neg.f64 (pow.f64 x 2)) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (*.f64 -42 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))) (*.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)))) (*.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (/.f64 1764 (pow.f64 x 4)))) (neg.f64 (+.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 -42 (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 2))) (neg.f64 (-.f64 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 3) (/.f64 74088 (pow.f64 x 6)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (-.f64 (/.f64 1764 (pow.f64 x 4)) (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (*.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (-.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x)))))))
(pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 1)
(pow.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 3)
(pow.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 2))
(log.f64 (*.f64 (*.f64 1/5040 (pow.f64 x 6)) (pow.f64 (exp.f64 42) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))))
(cbrt.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 3))
(expm1.f64 (log1p.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(exp.f64 (log.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 1 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 1 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(fma.f64 1 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2)))
(fma.f64 1 (*.f64 42 (pow.f64 x -2)) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 1 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x)))
(fma.f64 (log.f64 x) 6 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 42 (pow.f64 x -2) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (*.f64 6 (log.f64 x))) (sqrt.f64 (*.f64 6 (log.f64 x))) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (sqrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (*.f64 6 (log.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (*.f64 42 (pow.f64 x -2)))
(fma.f64 (/.f64 (sqrt.f64 42) x) (/.f64 (sqrt.f64 42) x) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (log.f64 1/5040)) (sqrt.f64 (log.f64 1/5040)) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 2) (cbrt.f64 (*.f64 6 (log.f64 x))) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (*.f64 6 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (*.f64 42 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 1764 (pow.f64 x 4))) (cbrt.f64 (*.f64 42 (pow.f64 x -2))) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/5040)) 2) (cbrt.f64 (log.f64 1/5040)) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(+.f64 1 (+.f64 (*.f64 6 (log.f64 x)) -1))
(+.f64 (*.f64 6 (log.f64 x)) 0)
(+.f64 (+.f64 1 (*.f64 6 (log.f64 x))) -1)
(+.f64 0 (*.f64 6 (log.f64 x)))
(+.f64 (*.f64 4 (log.f64 x)) (*.f64 (log.f64 x) 2))
(+.f64 (*.f64 (log.f64 x) 2) (*.f64 4 (log.f64 x)))
(+.f64 -1 (+.f64 1 (*.f64 6 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 x 3)) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 8))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (*.f64 (log.f64 x) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 x 3))) (log.f64 (pow.f64 x 3)))
(+.f64 (+.f64 (*.f64 4 (log.f64 x)) (log.f64 x)) (log.f64 x))
(+.f64 (+.f64 (*.f64 4 (log.f64 x)) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x)))) 1) (+.f64 (*.f64 6 (log.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 1))))
(pow.f64 (*.f64 6 (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 6 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36))
(log.f64 (pow.f64 x 6))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x 6) 1)))
(cbrt.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 6 (log.f64 x))))
(exp.f64 (log.f64 (*.f64 6 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 6 (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x 6) 1))

simplify221.0ms (1.3%)

Algorithm
egg-herbie
Rules
521×fma-def
441×associate-*r*
409×associate-*l*
368×+-commutative
326×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075435270
1190733680
Stop Event
node limit
Counts
698 → 445
Calls
Call 1
Inputs
(*.f64 1/120 (pow.f64 x 4))
(*.f64 1/5040 (pow.f64 x 6))
(*.f64 1/5040 (pow.f64 x 6))
(*.f64 1/120 (pow.f64 x 4))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/28800 (pow.f64 x 8)) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (*.f64 -1/28800 (pow.f64 x 8)) (+.f64 (*.f64 -1/604800 (pow.f64 x 10)) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 882 (/.f64 1 (pow.f64 x 4))))
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(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)) (neg.f64 (pow.f64 x 2))) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) -42)) (*.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)))) (neg.f64 (pow.f64 x 2))))
(/.f64 (+.f64 (log.f64 (/.f64 1/5040 (pow.f64 x 6))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 2) (+.f64 (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3))))) (*.f64 (*.f64 (pow.f64 x 2) 1/42) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (+.f64 (*.f64 42 (log.f64 (/.f64 1/5040 (pow.f64 x 6)))) (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (*.f64 42 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))) (*.f64 (pow.f64 x 2) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)))) (*.f64 (pow.f64 x 2) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (+.f64 (*.f64 -42 (log.f64 (/.f64 1/5040 (pow.f64 x 6)))) (*.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)))) (*.f64 (neg.f64 (pow.f64 x 2)) (log.f64 (/.f64 1/5040 (pow.f64 x 6)))))
(/.f64 (+.f64 (*.f64 -42 (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))) (*.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 (log.f64 1/5040) 3) (pow.f64 (*.f64 6 (log.f64 x)) 3)))) (*.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (/.f64 1764 (pow.f64 x 4)))) (neg.f64 (+.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 -42 (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 2))) (neg.f64 (-.f64 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 3) (/.f64 74088 (pow.f64 x 6)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) 2) (-.f64 (/.f64 1764 (pow.f64 x 4)) (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) (pow.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36) (*.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (-.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x)))))))
(pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 1)
(pow.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 3)
(pow.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 2))
(log.f64 (*.f64 (*.f64 1/5040 (pow.f64 x 6)) (pow.f64 (exp.f64 42) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))))))
(cbrt.f64 (pow.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 3))
(expm1.f64 (log1p.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(exp.f64 (log.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))))
(fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 1 (*.f64 6 (log.f64 x)) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 1 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(fma.f64 1 (fma.f64 6 (log.f64 x) (log.f64 1/5040)) (*.f64 42 (pow.f64 x -2)))
(fma.f64 1 (*.f64 42 (pow.f64 x -2)) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 1 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)) (*.f64 6 (log.f64 x)))
(fma.f64 (log.f64 x) 6 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 42 (pow.f64 x -2) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (*.f64 6 (log.f64 x))) (sqrt.f64 (*.f64 6 (log.f64 x))) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (sqrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (*.f64 6 (log.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (*.f64 42 (pow.f64 x -2)))
(fma.f64 (/.f64 (sqrt.f64 42) x) (/.f64 (sqrt.f64 42) x) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (sqrt.f64 (log.f64 1/5040)) (sqrt.f64 (log.f64 1/5040)) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 2) (cbrt.f64 (*.f64 6 (log.f64 x))) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040))) (*.f64 6 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) (*.f64 42 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 1764 (pow.f64 x 4))) (cbrt.f64 (*.f64 42 (pow.f64 x -2))) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/5040)) 2) (cbrt.f64 (log.f64 1/5040)) (fma.f64 6 (log.f64 x) (*.f64 42 (pow.f64 x -2))))
(+.f64 1 (+.f64 (*.f64 6 (log.f64 x)) -1))
(+.f64 (*.f64 6 (log.f64 x)) 0)
(+.f64 (+.f64 1 (*.f64 6 (log.f64 x))) -1)
(+.f64 0 (*.f64 6 (log.f64 x)))
(+.f64 (*.f64 4 (log.f64 x)) (*.f64 (log.f64 x) 2))
(+.f64 (*.f64 (log.f64 x) 2) (*.f64 4 (log.f64 x)))
(+.f64 -1 (+.f64 1 (*.f64 6 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 x 3)) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 8))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (*.f64 (log.f64 x) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 x 3))) (log.f64 (pow.f64 x 3)))
(+.f64 (+.f64 (*.f64 4 (log.f64 x)) (log.f64 x)) (log.f64 x))
(+.f64 (+.f64 (*.f64 4 (log.f64 x)) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x)))) 1) (+.f64 (*.f64 6 (log.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 1))))
(pow.f64 (*.f64 6 (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 6 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36))
(log.f64 (pow.f64 x 6))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x 6) 1)))
(cbrt.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 6 (log.f64 x))))
(exp.f64 (log.f64 (*.f64 6 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 6 (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x 6) 1))
Outputs
(*.f64 1/120 (pow.f64 x 4))
(*.f64 1/5040 (pow.f64 x 6))
(*.f64 1/5040 (pow.f64 x 6))
(*.f64 1/120 (pow.f64 x 4))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/28800 (pow.f64 x 8)) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/28800 (pow.f64 x 8) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/28800 (pow.f64 x 8) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (*.f64 -1/28800 (pow.f64 x 8)) (+.f64 (*.f64 -1/604800 (pow.f64 x 10)) (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(fma.f64 -1/28800 (pow.f64 x 8) (fma.f64 -1/604800 (pow.f64 x 10) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/28800 (pow.f64 x 8) (fma.f64 -1/604800 (pow.f64 x 10) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (neg.f64 (log.f64 x))))
(fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2))))
(+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 1/5040)) (/.f64 42 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 882 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2)))) (/.f64 882 (pow.f64 x 4)))
(+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 1/5040)) (-.f64 (/.f64 42 (pow.f64 x 2)) (/.f64 882 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 2))) (*.f64 29736 (/.f64 1 (pow.f64 x 6)))))) (*.f64 882 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/5040) (-.f64 (+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2))) (/.f64 29736 (pow.f64 x 6))) (/.f64 882 (pow.f64 x 4))))
(+.f64 (log.f64 1/5040) (+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 42 (pow.f64 x 2))) (-.f64 (/.f64 29736 (pow.f64 x 6)) (/.f64 882 (pow.f64 x 4)))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 -1 x))))
(fma.f64 -6 (log.f64 (/.f64 -1 x)) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/5040) (fma.f64 -6 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))))
(+.f64 (/.f64 42 (pow.f64 x 2)) (fma.f64 -6 (log.f64 (/.f64 -1 x)) (log.f64 1/5040)))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 882 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (fma.f64 -6 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2)))) (/.f64 882 (pow.f64 x 4)))
(+.f64 (fma.f64 -6 (log.f64 (/.f64 -1 x)) (log.f64 1/5040)) (-.f64 (/.f64 42 (pow.f64 x 2)) (/.f64 882 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 2))) (*.f64 29736 (/.f64 1 (pow.f64 x 6)))))) (*.f64 882 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/5040) (-.f64 (+.f64 (fma.f64 -6 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (/.f64 29736 (pow.f64 x 6))) (/.f64 882 (pow.f64 x 4))))
(+.f64 (log.f64 1/5040) (+.f64 (fma.f64 -6 (log.f64 (/.f64 -1 x)) (/.f64 42 (pow.f64 x 2))) (-.f64 (/.f64 29736 (pow.f64 x 6)) (/.f64 882 (pow.f64 x 4)))))
0
(*.f64 1/5040 (pow.f64 x 6))
(+.f64 (*.f64 -1/50803200 (pow.f64 x 12)) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 -1/50803200 (pow.f64 x 12) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/50803200 (pow.f64 x 12)))
(+.f64 (*.f64 -1/50803200 (pow.f64 x 12)) (+.f64 (*.f64 1/384072192000 (pow.f64 x 18)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/50803200 (pow.f64 x 12) (fma.f64 1/384072192000 (pow.f64 x 18) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/50803200 (pow.f64 x 12) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/384072192000 (pow.f64 x 18))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/5040) (*.f64 -6 (neg.f64 (log.f64 x))))
(fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 1/5040))
(+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 5040 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/5040) (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 5040 (pow.f64 x 6))))
(+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 1/5040)) (/.f64 5040 (pow.f64 x 6)))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (*.f64 5040 (/.f64 1 (pow.f64 x 6))))) (*.f64 12700800 (/.f64 1 (pow.f64 x 12))))
(+.f64 (log.f64 1/5040) (-.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 5040 (pow.f64 x 6))) (/.f64 12700800 (pow.f64 x 12))))
(+.f64 (log.f64 1/5040) (+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 5040 (pow.f64 x 6))) (/.f64 -12700800 (pow.f64 x 12))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -6 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5040 (/.f64 1 (pow.f64 x 6))) (*.f64 42674688000 (/.f64 1 (pow.f64 x 18)))))) (*.f64 12700800 (/.f64 1 (pow.f64 x 12))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 5040 (pow.f64 x 6))) (/.f64 42674688000 (pow.f64 x 18)))) (/.f64 12700800 (pow.f64 x 12)))
(+.f64 (log.f64 1/5040) (+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 5040 (pow.f64 x 6))) (-.f64 (/.f64 42674688000 (pow.f64 x 18)) (/.f64 12700800 (pow.f64 x 12)))))
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(fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))
(fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/5040)) (*.f64 (pow.f64 x 3) (sqrt.f64 1/5040)) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/5040)) 2) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 (*.f64 1/120 (pow.f64 x 4)) (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/5040)) 2))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/120)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/120)) (*.f64 1/5040 (pow.f64 x 6)))
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 1/120) (sqrt.f64 1/120))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/25401600)) (*.f64 (pow.f64 x 2) (cbrt.f64 1/5040)) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/14400)) (cbrt.f64 (*.f64 1/120 (pow.f64 x 4))) (*.f64 1/5040 (pow.f64 x 6)))
(+.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 0)
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(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 0 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1))) 2)) (log.f64 (cbrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
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(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1))))) (log.f64 (sqrt.f64 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) 1)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 2) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 3)) (log1p.f64 (-.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 2) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 2))) (log.f64 (-.f64 1 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))) 2))) (log.f64 (-.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) 2))) (log1p.f64 (neg.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))) 1)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 1 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 1)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) (sqrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) 2))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) 2) (cbrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(pow.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 1)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) 2)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) 3)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 3) 1/3)
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6)))) 2))
(fabs.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))) 3))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) 1))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(log1p.f64 (fma.f64 1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(log1p.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))) 0)
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
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(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 1/5040 (pow.f64 x 6) 1))))
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(-.f64 (log.f64 (-.f64 1 (*.f64 (pow.f64 x 12) 1/25401600))) (log.f64 (+.f64 1 (*.f64 -1/5040 (pow.f64 x 6)))))
(-.f64 (log.f64 (-.f64 1 (*.f64 (pow.f64 x 12) 1/25401600))) (log1p.f64 (*.f64 (pow.f64 x 6) -1/5040)))
(-.f64 (log1p.f64 (*.f64 (pow.f64 x 12) -1/25401600)) (log1p.f64 (*.f64 (pow.f64 x 6) -1/5040)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))))) 1)
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(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
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(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
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(pow.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))) 1)
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 2)
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 3)
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))) 3) 1/3)
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))) 2))
(fabs.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6))))
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(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 1))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(-.f64 (fma.f64 1/5040 (pow.f64 x 6) 1) 1)
(+.f64 (fma.f64 1/5040 (pow.f64 x 6) 1) -1)
(+.f64 (*.f64 1/5040 (pow.f64 x 6)) 0)
(pow.f64 (*.f64 1/5040 (pow.f64 x 6)) 1)
(*.f64 1/5040 (pow.f64 x 6))
(pow.f64 (pow.f64 (*.f64 1/5040 (pow.f64 x 6)) 3) 1/3)
(*.f64 1/5040 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/5040)) 2)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/5040)) 3)
(*.f64 1/5040 (pow.f64 x 6))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 2)) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))))
(*.f64 1/5040 (pow.f64 x 6))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)))) (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))))
(*.f64 1/5040 (pow.f64 x 6))
(pow.f64 (exp.f64 1) (fma.f64 6 (log.f64 x) (log.f64 1/5040)))
(*.f64 1/5040 (pow.f64 x 6))
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(/.f64 (*.f64 (*.f64 6 (log.f64 x)) (fma.f64 6 (log.f64 x) 2)) (fma.f64 6 (log.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 6 (log.f64 x))) 3) -1) (fma.f64 (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (*.f64 6 (log.f64 x))) (+.f64 1 (+.f64 1 (*.f64 6 (log.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 6 (log.f64 x) 1) 3)) (fma.f64 (fma.f64 6 (log.f64 x) 1) (fma.f64 6 (log.f64 x) 1) (fma.f64 6 (log.f64 x) 2)))
(pow.f64 (*.f64 6 (log.f64 x)) 1)
(*.f64 6 (log.f64 x))
(pow.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3) 1/3)
(*.f64 6 (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 6 (log.f64 x))) 2)
(*.f64 6 (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 3)
(*.f64 6 (log.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 36))
(log.f64 (pow.f64 x 6))
(*.f64 6 (log.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x 6) 1)))
(log1p.f64 (+.f64 (pow.f64 x 6) -1))
(cbrt.f64 (pow.f64 (*.f64 6 (log.f64 x)) 3))
(*.f64 6 (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 6 (log.f64 x))))
(*.f64 6 (log.f64 x))
(exp.f64 (log.f64 (*.f64 6 (log.f64 x))))
(*.f64 6 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 6 (log.f64 x))) 1))
(*.f64 6 (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x 6) 1))
(log1p.f64 (+.f64 (pow.f64 x 6) -1))

eval253.0ms (1.5%)

Compiler

Compiled 12797 to 10419 computations (18.6% saved)

prune103.0ms (0.6%)

Pruning

33 alts after pruning (21 fresh and 12 done)

PrunedKeptTotal
New6229631
Fresh61218
Picked145
Done088
Total62933662
Accuracy
95.9%
Counts
662 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 3)
50.9%
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 3)
3.4%
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
3.9%
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
3.4%
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 3) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 3)) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 6))) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
3.2%
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
0.7%
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
3.4%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
94.2%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
93.9%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
4.4%
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
3.9%
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
2.3%
(+.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 6))) (/.f64 42 (pow.f64 x 2)))
3.2%
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
0.7%
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
0.7%
(+.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
93.9%
(*.f64 1/6 (pow.f64 x 2))
50.9%
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
52.6%
(log.f64 (/.f64 (sinh.f64 x) x))
50.4%
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
3.4%
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
0.7%
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 6 (log.f64 x)))) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
4.9%
16
4.9%
5/12
4.9%
29/1080
4.9%
1/883
5.0%
776161/829440000
4.9%
1/1428840000
5.0%
1/128024064000
49.8%
0
Compiler

Compiled 968 to 792 computations (18.2% saved)

regimes45.0ms (0.3%)

Counts
48 → 1
Calls
Call 1
Inputs
0
1/128024064000
1/1428840000
776161/829440000
1/883
29/1080
1/4
5/12
4
16
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
(log.f64 (/.f64 (sinh.f64 x) x))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 6))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2)))) 1)
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))))
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 3)
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+.f64 (log.f64 1/5040) (fma.f64 (neg.f64 (log.f64 x)) -6 (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/5040) (+.f64 (*.f64 -7 (log.f64 (/.f64 1 x))) (*.f64 42 (/.f64 1 (pow.f64 x 2))))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
(+.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 1/5040) (exp.f64 (log.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6)))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 1/5040) (pow.f64 (cbrt.f64 (*.f64 6 (log.f64 x))) 3)) (/.f64 42 (pow.f64 x 2)))
(-.f64 (log.f64 (*.f64 1/2 (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))))) (log.f64 x))
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 3) (/.f64 42 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (fma.f64 42 (pow.f64 x -2) (log.f64 1/5040)))) 3)
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 6 (log.f64 x)))) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 6))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (pow.f64 (log.f64 x) 2) 36)) (/.f64 1 (+.f64 (log.f64 1/5040) (*.f64 -6 (log.f64 x))))) (/.f64 42 (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 1/5040) 3) (*.f64 (pow.f64 (log.f64 x) 3) 216)) (+.f64 (pow.f64 (log.f64 1/5040) 2) (*.f64 (*.f64 (log.f64 x) 6) (-.f64 (*.f64 (log.f64 x) 6) (log.f64 1/5040)))))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040))) 2) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 1/5040)))) (/.f64 42 (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) 3) 216 (pow.f64 (log.f64 1/5040) 3)) (fma.f64 (*.f64 6 (log.f64 x)) (-.f64 (*.f64 6 (log.f64 x)) (log.f64 1/5040)) (pow.f64 (log.f64 1/5040) 2)))
(*.f64 (cbrt.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 1/5040) (fma.f64 6 (log.f64 x) (/.f64 42 (pow.f64 x 2)))) 2)))
Outputs
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
Calls

3 calls:

22.0ms
x
4.0ms
(/.f64 (sinh.f64 x) x)
4.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
94.2%1x
94.2%1(log.f64 (/.f64 (sinh.f64 x) x))
94.2%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 606 to 482 computations (20.5% saved)

regimes28.0ms (0.2%)

Counts
31 → 1
Calls
Call 1
Inputs
0
1/128024064000
1/1428840000
776161/829440000
1/883
29/1080
1/4
5/12
4
16
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) 5/12)
(log.f64 (/.f64 (sinh.f64 x) x))
(log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))
(+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x)))
(log.f64 (+.f64 1 (*.f64 (pow.f64 x 6) 1/5040)))
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 1/5040 (pow.f64 x 6))) (/.f64 42 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 -7 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(+.f64 (+.f64 (log.f64 1/5040) (*.f64 6 (log.f64 x))) (/.f64 42 (pow.f64 x 2)))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (log.f64 x) 6) (+.f64 (log.f64 1/5040) (/.f64 42 (pow.f64 x 2)))) 1)
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) 16))))
(+.f64 (log.f64 1/5040) (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 6))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 6)))) 3)
(-.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+.f64 (log.f64 1/5040) (fma.f64 (neg.f64 (log.f64 x)) -6 (/.f64 42 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 x 6)) (+.f64 (*.f64 1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2))))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
Calls

3 calls:

14.0ms
x
3.0ms
(/.f64 (sinh.f64 x) x)
3.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
93.9%1x
93.9%1(log.f64 (/.f64 (sinh.f64 x) x))
93.9%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 255 to 202 computations (20.8% saved)

regimes8.0ms (0%)

Accuracy

Total -29.7b remaining (-92.2%)

Threshold costs -29.7b (-92.2%)

Counts
10 → 1
Calls
Call 1
Inputs
0
1/128024064000
1/1428840000
776161/829440000
1/883
29/1080
1/4
5/12
4
16
Outputs
0
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
49.8%1x
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02596
13296
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
0
Outputs
(+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/37800 (pow.f64 x 8)) (+.f64 (*.f64 1/2835 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
0
Compiler

Compiled 32 to 27 computations (15.6% saved)

soundness63.0ms (0.4%)

Rules
685×associate-*l*
353×*-un-lft-identity
341×add-sqr-sqrt
330×associate-*r/
315×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0963
19163
2117963
Stop Event
node limit

end0.0ms (0%)

preprocess51.0ms (0.3%)

Remove

(abs x)

Compiler

Compiled 182 to 132 computations (27.5% saved)

Profiling

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