Hyperbolic tangent

Time bar (total: 5.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 8 computations (46.7% saved)

sample2.6s (44.6%)

Results
1.3s3984×body1024valid
550.0ms7821×body256unsamplable
377.0ms2021×body512valid
196.0ms1863×body256valid
148.0ms388×body2048valid
Bogosity

preprocess140.0ms (2.4%)

Algorithm
egg-herbie
Rules
1240×difference-of-squares
950×div-sub
760×associate-/r/
568×fma-neg
540×cancel-sign-sub-inv
Problems
242×(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017165
143165
280165
3154165
4431165
51873165
65381165
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 49 to 15 computations (69.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 28 to 14 computations (50% saved)

localize90.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
96.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
15.5%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms
x
@0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@0
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms
x
@-inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite65.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
110×associate-*r*
108×times-frac
81×add-exp-log
81×add-log-exp
81×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
117442
2341842
Stop Event
unsound
Counts
3 → 30
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5

simplify95.0ms (1.6%)

Algorithm
egg-herbie
Rules
1396×fma-def
1008×unswap-sqr
918×associate-*r*
738×associate-*l*
520×distribute-rgt-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061822
1139817
2331811
3964807
43179807
55275807
67055807
Stop Event
node limit
Counts
54 → 56
Calls
Call 1
Inputs
(*.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)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.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)))
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
Outputs
(*.f64 2 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.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 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x)))
(fma.f64 x (fma.f64 1/3 (pow.f64 x 2) 2) (*.f64 1/60 (pow.f64 x 5)))
(+.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 2 x))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.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 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 2/15))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315))))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) 2)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5
-2
-1
0
1/2
1
3/2
2
3
4
5

eval15.0ms (0.3%)

Compiler

Compiled 834 to 448 computations (46.3% saved)

prune25.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New47956
Fresh000
Picked011
Done000
Total471057
Accuracy
96.9%
Counts
57 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.0%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.4%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
93.2%
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
93.5%
x
10.0%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.4%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
93.2%
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
93.5%
x
Compiler

Compiled 548 to 412 computations (24.8% saved)

localize366.0ms (6.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
100.0%
(fma.f64 (pow.f64 x 3) -1/3 x)
99.9%
(fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315))
99.9%
(*.f64 (pow.f64 x 7) -17/315)
100.0%
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.8%
(*.f64 1/3 (pow.f64 x 3))
100.0%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
100.0%
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
99.9%
(*.f64 2/15 (pow.f64 x 5))
99.8%
(*.f64 -1/3 (pow.f64 x 3))
100.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
99.8%
(*.f64 (pow.f64 x 3) -1/3)
100.0%
(/.f64 (+.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 (neg.f64 x))))
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))
Compiler

Compiled 293 to 202 computations (31.1% saved)

series18.0ms (0.3%)

Counts
17 → 108
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (+.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 (neg.f64 x))))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@-inf
(/.f64 (+.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 (neg.f64 x))))
1.0ms
x
@inf
(*.f64 1/60 (pow.f64 x 5))
1.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite48.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
297×log1p-expm1-u
297×expm1-log1p-u
285×add-cube-cbrt
284×add-exp-log
284×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043272
1679272
Stop Event
node limit
Counts
17 → 391
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(/.f64 (+.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 (neg.f64 x))))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(*.f64 (pow.f64 x 7) -17/315)
(fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
Outputs
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512

simplify153.0ms (2.6%)

Algorithm
egg-herbie
Rules
1828×fma-def
1826×times-frac
1294×associate-/r*
1292×associate-*l*
1080×associate-/r/
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0934099
12154011
24053999
39133979
417633795
539583795
661903771
777293771
Stop Event
node limit
Counts
499 → 93
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/60 (/.f64 (pow.f64 x 5) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/20 (pow.f64 x 7)) (*.f64 1/8 (pow.f64 x 5)))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(*.f64 2 x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(*.f64 1/2520 (/.f64 (pow.f64 x 7) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (pow.f64 x 7) 1/2520) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 x 7) (/.f64 1/2520 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
-8
-4
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-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
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-1/2
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1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
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64
512
-8
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-1/2
0
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1/2
1
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2
5/2
3
7/2
4
5
6
7
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64
512
-8
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-1/2
0
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1
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2
5/2
3
7/2
4
5
6
7
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14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
5/2
3
7/2
4
5
6
7
8
10
14
64
512
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
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2
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3
7/2
4
5
6
7
8
10
14
64
512

eval53.0ms (0.9%)

Compiler

Compiled 2941 to 1798 computations (38.9% saved)

prune116.0ms (2%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New13610146
Fresh224
Picked235
Done011
Total14016156
Accuracy
96.9%
Counts
156 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.8%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
94.9%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
94.9%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
95.5%
(/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
3.9%
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.1%
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.2%
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
5.4%
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
94.5%
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
93.5%
x
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.8%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
94.9%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
94.9%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
95.5%
(/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
3.9%
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.1%
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.2%
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
5.4%
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
94.5%
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
93.5%
x
Compiler

Compiled 942 to 728 computations (22.7% saved)

localize497.0ms (8.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
99.9%
(*.f64 -17/315 (pow.f64 x 7))
99.9%
(*.f64 2/15 (pow.f64 x 5))
99.8%
(*.f64 -1/3 (pow.f64 x 3))
100.0%
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
99.9%
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
99.8%
(*.f64 1/3 (pow.f64 x 3))
100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.9%
(*.f64 1/360 (pow.f64 x 6))
99.9%
(*.f64 1/60 (pow.f64 x 5))
99.8%
(*.f64 1/12 (pow.f64 x 4))
99.8%
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 369 to 263 computations (28.7% saved)

series9.0ms (0.2%)

Counts
10 → 39
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
1.0ms
x
@-inf
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@-inf
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
@0
(*.f64 1/360 (pow.f64 x 6))

rewrite48.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
464×associate-*r*
304×associate-*l*
270×log1p-expm1-u
270×expm1-log1p-u
260×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046229
1629229
Stop Event
node limit
Counts
10 → 133
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/360 (pow.f64 x 6))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
Outputs
1/144
1/12
1/3600
1/60
1/129600
1/360
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
8/3375
4/225
2/15
-17/315
-4913/31255875
289/99225
5/63

simplify75.0ms (1.3%)

Algorithm
egg-herbie
Rules
1726×fma-neg
1342×fma-def
994×associate-/r*
898×unswap-sqr
668×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161647
12421613
24921602
312611591
429831591
565361591
Stop Event
node limit
Counts
172 → 108
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 5/24 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -61/720 (pow.f64 x 7)) (*.f64 5/24 (pow.f64 x 5)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
-2
(-.f64 x 2)
(-.f64 (+.f64 x (pow.f64 x 2)) 2)
(-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 x 2))) 2)
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 4/3 (/.f64 1 x)) (*.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 4/3 (/.f64 1 x)) (*.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 -17/315 (pow.f64 x 7))
1/144
1/12
1/3600
1/60
1/129600
1/360
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
8/3375
4/225
2/15
-17/315
-4913/31255875
289/99225
5/63
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 5/24 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 5/24 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) x) (*.f64 5/24 (pow.f64 x 5)))
(fma.f64 5/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 5/24 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -61/720 (pow.f64 x 7)) (*.f64 5/24 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -61/720 (pow.f64 x 7) (*.f64 5/24 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) x) (fma.f64 -61/720 (pow.f64 x 7) (*.f64 5/24 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 5/24 (pow.f64 x 5) (*.f64 -61/720 (pow.f64 x 7)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 5/24 (pow.f64 x 5) (fma.f64 -61/720 (pow.f64 x 7) x)))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
-2
(-.f64 x 2)
(+.f64 x -2)
(-.f64 (+.f64 x (pow.f64 x 2)) 2)
(+.f64 x (-.f64 (pow.f64 x 2) 2))
(+.f64 x (fma.f64 x x -2))
(fma.f64 (+.f64 x 1) x -2)
(fma.f64 x (+.f64 x 1) -2)
(-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 x 2))) 2)
(+.f64 x (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)) 2))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) x) (fma.f64 x x -2))
(+.f64 x (fma.f64 x x (fma.f64 -1/2 (pow.f64 x 3) -2)))
(+.f64 x (fma.f64 (fma.f64 x -1/2 1) (pow.f64 x 2) -2))
(+.f64 (fma.f64 (fma.f64 x -1/2 1) (pow.f64 x 2) x) -2)
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x))
(*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))) (*.f64 4 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))))
(-.f64 (/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 2 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 x (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/6)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 5) 1/6)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 1/6 x))
(fma.f64 (pow.f64 x 5) 1/6 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/12 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/6))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 1/6 (*.f64 (pow.f64 x 7) -1/12)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 1/6 (*.f64 (pow.f64 x 7) -1/12))))
(fma.f64 (pow.f64 x 5) 1/6 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -1/12 x)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(fma.f64 x 1/3 (/.f64 4/3 x))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(fma.f64 x 1/3 (+.f64 (/.f64 4/3 x) (/.f64 -8/3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 4/3 (/.f64 1 x)) (*.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(+.f64 (/.f64 4/3 x) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (fma.f64 x 1/3 (/.f64 -8/3 (pow.f64 x 3)))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x)))
(fma.f64 1/3 x (/.f64 4/3 x))
(fma.f64 x 1/3 (/.f64 4/3 x))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (/.f64 -8/3 (pow.f64 x 3)))
(fma.f64 x 1/3 (+.f64 (/.f64 4/3 x) (/.f64 -8/3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 4/3 (/.f64 1 x)) (*.f64 16/3 (/.f64 1 (pow.f64 x 5))))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 1/3 x (/.f64 4/3 x)) (/.f64 16/3 (pow.f64 x 5))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (fma.f64 x 1/3 (/.f64 4/3 x)) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (/.f64 -8/3 (pow.f64 x 3))))
(+.f64 (/.f64 4/3 x) (+.f64 (/.f64 16/3 (pow.f64 x 5)) (fma.f64 x 1/3 (/.f64 -8/3 (pow.f64 x 3)))))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 2/15)
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -17/315)
(*.f64 -17/315 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -17/315)
1/144
1/12
1/3600
1/60
1/129600
1/360
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
-15
-2
-1
-1/3
0
1/27
1/9
1/3
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
8
9
10
12
14
15
225
3375
8/3375
4/225
2/15
-17/315
-4913/31255875
289/99225
5/63

eval107.0ms (1.8%)

Compiler

Compiled 4112 to 3166 computations (23% saved)

prune34.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New2573260
Fresh527
Picked415
Done044
Total26610276
Accuracy
100.0%
Counts
276 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
1.9%
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
93.5%
x
6.4%
1
5.5%
-1
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
1.9%
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
94.7%
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
93.5%
x
6.4%
1
5.5%
-1
Compiler

Compiled 256 to 196 computations (23.4% saved)

localize168.0ms (2.8%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 1 (pow.f64 x 3))
99.7%
(*.f64 8/3 (/.f64 1 (pow.f64 x 3)))
99.5%
(*.f64 1/3 x)
99.4%
(*.f64 4/3 (/.f64 1 x))
100.0%
(fma.f64 (pow.f64 x 3) -1/3 x)
99.9%
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
99.9%
(*.f64 -17/315 (pow.f64 x 7))
99.9%
(*.f64 2/15 (pow.f64 x 5))
Compiler

Compiled 121 to 95 computations (21.5% saved)

series3.0ms (0%)

Counts
5 → 36
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 8/3 (/.f64 1 (pow.f64 x 3)))
0.0ms
x
@0
(*.f64 4/3 (/.f64 1 x))
0.0ms
x
@inf
(*.f64 8/3 (/.f64 1 (pow.f64 x 3)))
0.0ms
x
@inf
(*.f64 4/3 (/.f64 1 x))
0.0ms
x
@-inf
(*.f64 8/3 (/.f64 1 (pow.f64 x 3)))

rewrite77.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
856×log-prod
725×log1p-expm1-u
725×expm1-log1p-u
544×pow-prod-down
472×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01967
119867
2225467
Stop Event
node limit
Counts
5 → 161
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x 3) -1/3 x)
(*.f64 4/3 (/.f64 1 x))
(*.f64 1/3 x)
(*.f64 8/3 (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (pow.f64 x 3))
Outputs
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) x)
(+.f64 0 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/3) 1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 1)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 1)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (pow.f64 x 3) -1/3 x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (pow.f64 x 3) -1/3) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (pow.f64 x 2)) (fma.f64 (pow.f64 x 3) -1/3 (neg.f64 x)))
(pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/3 x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (pow.f64 x 3) -1/3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (pow.f64 x 3) -1/3))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) -1/3)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(+.f64 0 (/.f64 4/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 x))) (cbrt.f64 (exp.f64 (/.f64 4/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 x))) 1)
(/.f64 4/3 x)
(/.f64 1 (/.f64 x 4/3))
(/.f64 -4/3 (neg.f64 x))
(/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(/.f64 (/.f64 4/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 4/3 x) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 x)) 3)
(pow.f64 (*.f64 (pow.f64 x -2) 16/9) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 x)) 2)
(pow.f64 (/.f64 x 4/3) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) 16/9))
(log.f64 (exp.f64 (/.f64 4/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 x))))
(cbrt.f64 (pow.f64 (/.f64 4/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 x)))
(exp.f64 (log.f64 (/.f64 4/3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4/3 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4/3 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 4/3 x)))
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1/3) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 0 (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (pow.f64 x 3)))) 1)
(/.f64 1 (/.f64 (pow.f64 x 3) 8/3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 -8/3 (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 8/3 x) (pow.f64 x 2))
(/.f64 (/.f64 8/3 (pow.f64 x 2)) x)
(/.f64 (/.f64 8/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(pow.f64 (/.f64 8/3 (pow.f64 x 3)) 1)
(pow.f64 (/.f64 (cbrt.f64 8/3) x) 3)
(pow.f64 (*.f64 (pow.f64 x -6) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 8/3)) 2)
(pow.f64 (/.f64 (pow.f64 x 3) 8/3) -1)
(sqrt.f64 (*.f64 (pow.f64 x -6) 64/9))
(log.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9))
(expm1.f64 (log1p.f64 (/.f64 8/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 8/3) x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (/.f64 8/3 (pow.f64 x 3))))
(+.f64 0 (pow.f64 x -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3))) (cbrt.f64 (exp.f64 (pow.f64 x -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)
(*.f64 1 (pow.f64 x -3))
(*.f64 (/.f64 1 x) (pow.f64 x -2))
(*.f64 (pow.f64 x -3) 1)
(*.f64 (pow.f64 x -3) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 x -2) (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))
(*.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 x -5/2) (pow.f64 x -1/2))
(pow.f64 x -3)
(pow.f64 (pow.f64 x 3) -1)
(pow.f64 (/.f64 1 x) 3)
(pow.f64 (pow.f64 x -3) 1)
(pow.f64 (pow.f64 x 2) -3/2)
(pow.f64 (cbrt.f64 x) -9)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 9)
(pow.f64 (pow.f64 x -6) 1/2)
(pow.f64 (pow.f64 x -9) 1/3)
(pow.f64 (pow.f64 x 6) -1/2)
(pow.f64 (pow.f64 x 9) -1/3)
(pow.f64 (sqrt.f64 x) -6)
(pow.f64 (pow.f64 x -1/2) 6)
(pow.f64 (pow.f64 x -3/2) 2)
(pow.f64 (pow.f64 x 3/2) -2)
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) -1)
(sqrt.f64 (pow.f64 x -6))
(log.f64 (exp.f64 (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))
(cbrt.f64 (pow.f64 x -9))
(expm1.f64 (log1p.f64 (pow.f64 x -3)))
(exp.f64 (*.f64 -3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) -1) 3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) -3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -9)) 1/3))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (pow.f64 x -3)))

simplify74.0ms (1.3%)

Algorithm
egg-herbie
Rules
1492×fma-def
1118×unswap-sqr
866×distribute-lft-in
818×distribute-rgt-in
504×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03803431
17823307
221303135
Stop Event
node limit
Counts
197 → 196
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 8/3 (pow.f64 x 3))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) x)
(+.f64 0 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/3) 1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 1)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 1)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (pow.f64 x 3) -1/3 x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (pow.f64 x 3) -1/3) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (pow.f64 x 2)) (fma.f64 (pow.f64 x 3) -1/3 (neg.f64 x)))
(pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/3 x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (pow.f64 x 3) -1/3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (pow.f64 x 3) -1/3))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) -1/3)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(+.f64 0 (/.f64 4/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 x))) (cbrt.f64 (exp.f64 (/.f64 4/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 x))) 1)
(/.f64 4/3 x)
(/.f64 1 (/.f64 x 4/3))
(/.f64 -4/3 (neg.f64 x))
(/.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(/.f64 (/.f64 4/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 4/3 x) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 x)) 3)
(pow.f64 (*.f64 (pow.f64 x -2) 16/9) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 x)) 2)
(pow.f64 (/.f64 x 4/3) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) 16/9))
(log.f64 (exp.f64 (/.f64 4/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 x))))
(cbrt.f64 (pow.f64 (/.f64 4/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 x)))
(exp.f64 (log.f64 (/.f64 4/3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4/3 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4/3 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 4/3 x)))
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1/3) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 0 (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (pow.f64 x 3)))) 1)
(/.f64 1 (/.f64 (pow.f64 x 3) 8/3))
(/.f64 8/3 (pow.f64 x 3))
(/.f64 -8/3 (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 8/3 x) (pow.f64 x 2))
(/.f64 (/.f64 8/3 (pow.f64 x 2)) x)
(/.f64 (/.f64 8/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(pow.f64 (/.f64 8/3 (pow.f64 x 3)) 1)
(pow.f64 (/.f64 (cbrt.f64 8/3) x) 3)
(pow.f64 (*.f64 (pow.f64 x -6) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 8/3)) 2)
(pow.f64 (/.f64 (pow.f64 x 3) 8/3) -1)
(sqrt.f64 (*.f64 (pow.f64 x -6) 64/9))
(log.f64 (exp.f64 (/.f64 8/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9))
(expm1.f64 (log1p.f64 (/.f64 8/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 8/3) x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cbrt.f64 8/3) x) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (/.f64 8/3 (pow.f64 x 3))))
(+.f64 0 (pow.f64 x -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3))) (cbrt.f64 (exp.f64 (pow.f64 x -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)
(*.f64 1 (pow.f64 x -3))
(*.f64 (/.f64 1 x) (pow.f64 x -2))
(*.f64 (pow.f64 x -3) 1)
(*.f64 (pow.f64 x -3) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 x -2) (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))
(*.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 x -5/2) (pow.f64 x -1/2))
(pow.f64 x -3)
(pow.f64 (pow.f64 x 3) -1)
(pow.f64 (/.f64 1 x) 3)
(pow.f64 (pow.f64 x -3) 1)
(pow.f64 (pow.f64 x 2) -3/2)
(pow.f64 (cbrt.f64 x) -9)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 9)
(pow.f64 (pow.f64 x -6) 1/2)
(pow.f64 (pow.f64 x -9) 1/3)
(pow.f64 (pow.f64 x 6) -1/2)
(pow.f64 (pow.f64 x 9) -1/3)
(pow.f64 (sqrt.f64 x) -6)
(pow.f64 (pow.f64 x -1/2) 6)
(pow.f64 (pow.f64 x -3/2) 2)
(pow.f64 (pow.f64 x 3/2) -2)
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) -1)
(sqrt.f64 (pow.f64 x -6))
(log.f64 (exp.f64 (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))
(cbrt.f64 (pow.f64 x -9))
(expm1.f64 (log1p.f64 (pow.f64 x -3)))
(exp.f64 (*.f64 -3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) -1) 3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) -3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -9)) 1/3))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (pow.f64 x -3)))
Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 4/3 x)
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(/.f64 8/3 (pow.f64 x 3))
(*.f64 8/3 (pow.f64 x -3))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 (pow.f64 x 3) -1/3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 0 (fma.f64 (pow.f64 x 3) -1/3 x))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/3) 1) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))) 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/3 x))) 1)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) 1)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (log.f64 (exp.f64 1)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 (pow.f64 x 3) -1/3 x))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/3 x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (pow.f64 x 3) -1/3) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (+.f64 (*.f64 1/9 (pow.f64 x 6)) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 1/9 (pow.f64 x 6) (fma.f64 x x (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 2) (pow.f64 x 2)) (fma.f64 (pow.f64 x 3) -1/3 (neg.f64 x)))
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eval101.0ms (1.7%)

Compiler

Compiled 4210 to 3449 computations (18.1% saved)

prune42.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New2043207
Fresh033
Picked202
Done055
Total20611217
Accuracy
100.0%
Counts
217 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.2%
(/.f64 (+.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 (neg.f64 x))))
1.9%
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
1.9%
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (pow.f64 (/.f64 (cbrt.f64 8/3) x) 3))
94.7%
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
94.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
94.9%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
94.0%
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
93.5%
x
6.4%
1
5.5%
-1
Compiler

Compiled 521 to 365 computations (29.9% saved)

regimes43.0ms (0.7%)

Counts
26 → 2
Calls
Call 1
Inputs
-1
1
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (pow.f64 (/.f64 (cbrt.f64 8/3) x) 3))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
(/.f64 (+.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 (neg.f64 x))))
(/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
Outputs
(/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
1
Calls

2 calls:

27.0ms
x
7.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
97.8%2x
97.7%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 393 to 262 computations (33.3% saved)

regimes38.0ms (0.6%)

Counts
25 → 2
Calls
Call 1
Inputs
-1
1
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (pow.f64 (/.f64 (cbrt.f64 8/3) x) 3))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
(/.f64 (+.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 (neg.f64 x))))
Outputs
(/.f64 (+.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 (neg.f64 x))))
1
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
97.7%2x
Compiler

Compiled 340 to 223 computations (34.4% saved)

regimes51.0ms (0.9%)

Counts
24 → 3
Calls
Call 1
Inputs
-1
1
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (pow.f64 (/.f64 (cbrt.f64 8/3) x) 3))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) -17/315)))
Outputs
-1
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
1
Calls

2 calls:

37.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
97.4%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.0%3x
Compiler

Compiled 326 to 212 computations (35% saved)

regimes26.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
-1
1
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (fma.f64 x x 2))
(*.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 x (*.f64 x 1/3)) 2))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (pow.f64 (/.f64 (cbrt.f64 8/3) x) 3))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 x x 2))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
1
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
97.3%2x
Compiler

Compiled 186 to 116 computations (37.6% saved)

regimes23.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
-1
1
x
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (+.f64 (*.f64 1/3 x) (/.f64 4/3 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 4/3 (/.f64 1 x))) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 2 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(/.f64 (+.f64 -4 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 10 (*.f64 2 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
-1
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
1
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 100 to 64 computations (36% saved)

regimes8.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
-1
1
x
Outputs
x
1
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
95.9%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
9.7%2x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.7007030107020933
15.52724475438473
Results
11.0ms96×body256valid
Compiler

Compiled 282 to 232 computations (17.7% saved)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.7007030107020933
15.52724475438473
Results
10.0ms96×body256valid
Compiler

Compiled 216 to 172 computations (20.4% saved)

bsearch30.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.01760467370436995
2.7007030107020933
12.0ms
-1.9805786840060966
-0.18444874335260725
Results
26.0ms208×body256valid
Compiler

Compiled 330 to 270 computations (18.2% saved)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.01760467370436995
2.7007030107020933
Results
12.0ms112×body256valid
Compiler

Compiled 144 to 115 computations (20.1% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.01760467370436995
2.7007030107020933
12.0ms
-1.9805786840060966
-0.18444874335260725
Results
23.0ms208×body256valid
Compiler

Compiled 174 to 140 computations (19.5% saved)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.01760467370436995
2.7007030107020933
Results
13.0ms112×body256valid
Compiler

Compiled 60 to 45 computations (25% saved)

bsearch39.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
-6.660439885275653e-308
2.9089499519865277e-307
Results
38.0ms112×body2048valid
Compiler

Compiled 60 to 52 computations (13.3% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
28×+-commutative
20×*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084500
1111500
2113500
3114500
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x 11/4) (/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))) 1)
(if (<=.f64 x 3) (/.f64 (+.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 (neg.f64 x)))) 1)
(if (<=.f64 x -5854679515581645/4503599627370496) -1 (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))) 1))
(if (<=.f64 x 5/4) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) 1)
(if (<=.f64 x -2589569785738035/2251799813685248) -1 (if (<=.f64 x 2589569785738035/2251799813685248) (+.f64 x (*.f64 (pow.f64 x 3) -1/3)) 1))
(if (<=.f64 x 1) x 1)
(if (<=.f64 x -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 1)
-1
Outputs
(if (<=.f64 x 11/4) (/.f64 (+.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 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))) 1)
(if (<=.f64 x 11/4) (/.f64 (+.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 x 2)))) (+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))) 1)
(if (<=.f64 x 3) (/.f64 (+.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 (neg.f64 x)))) 1)
(if (<=.f64 x 3) (/.f64 (+.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 x 2)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(if (<=.f64 x -5854679515581645/4503599627370496) -1 (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))) 1))
(if (<=.f64 x -5854679515581645/4503599627370496) -1 (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) -1/3) (+.f64 (*.f64 (pow.f64 x 7) -17/315) (*.f64 (pow.f64 x 5) 2/15)))) 1))
(if (<=.f64 x 5/4) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) 1)
(if (<=.f64 x 5/4) (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 (pow.f64 x 5) 2/15))) 1)
(if (<=.f64 x -2589569785738035/2251799813685248) -1 (if (<=.f64 x 2589569785738035/2251799813685248) (+.f64 x (*.f64 (pow.f64 x 3) -1/3)) 1))
(if (<=.f64 x 1) x 1)
(if (<=.f64 x -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 1)
-1
Compiler

Compiled 162 to 130 computations (19.8% saved)

soundness375.0ms (6.3%)

Rules
1828×fma-def
1826×times-frac
1396×fma-def
1294×associate-/r*
1292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934099
12154011
24053999
39133979
417633795
539583795
661903771
777293771
046229
1629229
046229
1629229
061822
1139817
2331811
3964807
43179807
55275807
67055807
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

preprocess119.0ms (2%)

Compiler

Compiled 338 to 260 computations (23.1% saved)

Profiling

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