NMSE Section 6.1 mentioned, A

Time bar (total: 19.4s)

analyze50.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%0%1.2%9
93.7%92.5%6.2%0.1%0%0%1.2%10
96.8%94.9%3.1%0.1%0%0%1.9%11
96.8%94.9%3.1%0.1%0%0%1.9%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-mult, time spent: 7.0ms, 26.0% of total-time
Operation ival-exp, time spent: 6.0ms, 23.0% of total-time
Operation ival-sub, time spent: 4.0ms, 15.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation ival-add, time spent: 3.0ms, 11.0% of total-time
Operation ival-neg, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

sample3.7s (19%)

Results
880.0ms3515×256infinite
989.0ms2874×256valid
863.0ms1200×1024valid
185.0ms928×256unsamplable
268.0ms570×512valid
74.0ms81×2048valid
7.0ms12×1024infinite
1.0ms512infinite
1.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-mult, time spent: 730.0ms, 33.0% of total-time
Operation ival-div, time spent: 463.0ms, 21.0% of total-time
Operation ival-exp, time spent: 363.0ms, 16.0% of total-time
Operation ival-sub, time spent: 234.0ms, 10.0% of total-time
Operation ival-neg, time spent: 205.0ms, 9.0% of total-time
Operation ival-add, time spent: 177.0ms, 8.0% of total-time
Operation const, time spent: 61.0ms, 3.0% of total-time
Bogosity

preprocess922.0ms (4.7%)

Algorithm
egg-herbie
Rules
1576×div-sub
1032×fma-define
882×distribute-lft-neg-in
798×distribute-rgt-neg-in
730×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
706(-3.7424075243422205e-199 7.176004680837195e-11)0-(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
00-0-x
00-0-(neg.f64 (*.f64 (+.f64 1 eps) x))
00-0-(-.f64 (/.f64 1 eps) 1)
00-0-(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
00-0-(/.f64 1 eps)
00-0-(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
00-0-eps
00-0-(-.f64 1 eps)
00-0-(*.f64 (-.f64 1 eps) x)
00-0-(neg.f64 (*.f64 (-.f64 1 eps) x))
00-0-(+.f64 1 (/.f64 1 eps))
00-0-(*.f64 (+.f64 1 eps) x)
00-0-(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
00-0-(+.f64 1 eps)
00-0-2
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069777
1211693
2630658
32123658
45703658
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 1/2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 1/2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 -1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) -2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 1/2)
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) (neg.f64 x))))) -2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) -2)
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) -2)
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 -1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (/.f64 1 (neg.f64 eps)) -1))) -2)
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (+.f64 (/.f64 -1 eps) -1))) -2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) -2)
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) -1/2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 -1 x)) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
Symmetry

(abs eps)

Compiler

Compiled 319 to 239 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 484.0ms
Operation ival-mult, time spent: 139.0ms, 29.0% of total-time
Operation ival-sub, time spent: 89.0ms, 18.0% of total-time
Operation ival-exp, time spent: 73.0ms, 15.0% of total-time
Operation ival-div, time spent: 72.0ms, 15.0% of total-time
Operation ival-add, time spent: 56.0ms, 12.0% of total-time
Operation ival-neg, time spent: 42.0ms, 9.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 108 to 77 computations (28.7% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
62.4%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))) 2)
73.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 87 to 67 computations (23% saved)

localize4.2s (21.8%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
73.0%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))
100.0%
(exp.f64 (+.f64 1 eps))
99.2%
(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
73.0%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
73.5%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 353 to 229 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.6s
Operation ival-pow, time spent: 2.2s, 60.0% of total-time
Operation ival-exp, time spent: 425.0ms, 12.0% of total-time
Operation ival-add, time spent: 348.0ms, 10.0% of total-time
Operation ival-div, time spent: 320.0ms, 9.0% of total-time
Operation ival-mult, time spent: 203.0ms, 6.0% of total-time
Operation composed, time spent: 79.0ms, 2.0% of total-time
Operation const, time spent: 46.0ms, 1.0% of total-time
Operation ival-sub, time spent: 41.0ms, 1.0% of total-time
Operation ival-neg, time spent: 5.0ms, 0.0% of total-time

series189.0ms (1%)

Counts
10 → 224
Calls

57 calls:

TimeVariablePointExpression
46.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
32.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
18.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
13.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
8.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))))

rewrite484.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
312×add-exp-log
312×add-log-exp
311×log1p-expm1-u
311×expm1-log1p-u
307×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039513
1699468
Stop Event
node limit
Counts
10 → 233
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))))
(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
(exp.f64 (+.f64 1 eps))
(*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
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(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1))
(/.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(exp.f64 (*.f64 x (+.f64 1 eps)))
(exp.f64 (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 eps)))) 1)
(*.f64 1 (exp.f64 (+.f64 1 eps)))
(*.f64 (E.f64) (exp.f64 eps))
(*.f64 (exp.f64 eps) (E.f64))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (exp.f64 (+.f64 1 eps))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) (sqrt.f64 (exp.f64 (+.f64 1 eps))))
(pow.f64 (exp.f64 (+.f64 1 eps)) 1)
(pow.f64 (E.f64) (+.f64 1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (cbrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 1)
(/.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) 1) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (*.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps)))
(pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) eps))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (*.f64 (fma.f64 eps x x) 1))

simplify334.0ms (1.7%)

Algorithm
egg-herbie
Rules
1264×associate-*r*
934×distribute-lft-in
904×distribute-rgt-in
800×associate-+l+
782×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108137291
1318833063
Stop Event
node limit
Counts
457 → 594
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
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(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
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(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (*.f64 (fma.f64 eps x x) 1))
Outputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 -1/120 (pow.f64 x 5)) (exp.f64 (neg.f64 x)))))))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 4)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 5)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x)))) (*.f64 1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040)))))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 -1/120 (pow.f64 x 5)) (exp.f64 (neg.f64 x)))))))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 4)))) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 6)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 -1/5040 (pow.f64 x 7)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 5))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))))))
(+.f64 2 (*.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (-.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 2 (*.f64 x (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 x (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (fma.f64 -1 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 x (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 2 (*.f64 x (+.f64 (*.f64 (*.f64 x 1/2) (+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 (/.f64 -1 eps))))) (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (-.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(+.f64 2 (*.f64 x (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 x (-.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 x (-.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1)))))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (fma.f64 -1 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 x (*.f64 -1/6 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 -1 (/.f64 1 eps))))))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 2 (*.f64 x (+.f64 (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) (fma.f64 x (+.f64 (*.f64 x (*.f64 -1/6 (+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (-.f64 1 eps) 3)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 1 (/.f64 -1 eps)))))) (*.f64 1/2 (+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 (/.f64 -1 eps)))))) (*.f64 (-.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
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1
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2
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1
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(/.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) 1) (*.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) -1))) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps)))) (exp.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (exp.f64 (fma.f64 x eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) 1) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3) 1/3)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
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(fabs.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
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(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(expm1.f64 (log1p.f64 (*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))) 2)) (cbrt.f64 (*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2))))
(/.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 0 (exp.f64 (*.f64 2 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(/.f64 (*.f64 0 (exp.f64 (neg.f64 x))) eps)
0
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 1)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 3)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 3) 1/3)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 2)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2))
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(fabs.f64 (*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
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(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(expm1.f64 (log1p.f64 (*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (*.f64 x (+.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 1))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(*.f64 2 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
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(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) x))
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(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps 1))) (*.f64 2 x))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(/.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
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(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (exp.f64 (+.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))) (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) 3)) (+.f64 (exp.f64 (*.f64 2 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))) (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) 2)) (-.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(fabs.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (+.f64 -1 eps)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 (*.f64 2 eps)))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (fma.f64 eps x x) 1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 x eps x))

eval581.0ms (3%)

Compiler

Compiled 24361 to 16946 computations (30.4% saved)

prune163.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5886594
Fresh000
Picked303
Done000
Total5916597
Accuracy
100.0%
Counts
597 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps) 2)
37.4%
(/.f64 (-.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
57.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
38.1%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
43.0%
(/.f64 2 2)
16.4%
(/.f64 0 2)
Compiler

Compiled 192 to 156 computations (18.8% saved)

localize458.0ms (2.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
75.2%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
100.0%
(/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps)
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 243 to 151 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 223.0ms
Operation ival-mult, time spent: 74.0ms, 33.0% of total-time
Operation ival-add, time spent: 42.0ms, 19.0% of total-time
Operation ival-sub, time spent: 39.0ms, 18.0% of total-time
Operation ival-div, time spent: 36.0ms, 16.0% of total-time
Operation ival-exp, time spent: 20.0ms, 9.0% of total-time
Operation const, time spent: 11.0ms, 5.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series28.0ms (0.1%)

Counts
6 → 120
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps)
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
1.0ms
eps
@0
(*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
1.0ms
eps
@0
(/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps)
1.0ms
x
@0
(*.f64 (-.f64 1 eps) (neg.f64 x))

rewrite195.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
919×log1p-expm1-u
354×associate-*r*
254×associate-*l*
198×expm1-log1p-u
196×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027239
1455205
26597205
Stop Event
node limit
Counts
6 → 218
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps)
(*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (-.f64 1 eps) (neg.f64 x))
Outputs
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
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(*.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 3) 1) (+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (-.f64 1 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1) (-.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 1))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))

simplify212.0ms (1.1%)

Algorithm
egg-herbie
Rules
1212×fma-neg
808×associate-*l*
766×associate-*r*
582×*-commutative
572×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062216843
1169915932
2607015806
Stop Event
node limit
Counts
338 → 358
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3 x) 1/2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) 1/2)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (exp.f64 (*.f64 -1 x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
1
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(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3 x) 1/2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) 1/2)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
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(*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 2/3 x) 1)))
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 x (+.f64 2/3 (*.f64 -1/4 x))) 1)))
(*.f64 2 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 (exp.f64 (neg.f64 x)) x))))
(*.f64 x (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 (exp.f64 (neg.f64 x)) x))))
(*.f64 x (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 (exp.f64 (neg.f64 x)) x))))
(*.f64 2 (*.f64 x (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (exp.f64 (*.f64 -1 x))) (*.f64 -2 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (exp.f64 (*.f64 -1 x))) (*.f64 -2 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
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(*.f64 2 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
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(*.f64 2 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
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(*.f64 2 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(*.f64 2 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(*.f64 2 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(*.f64 2 eps)
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(+.f64 (*.f64 2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 -1/4 (*.f64 eps x)) (*.f64 2/3 eps))))))
(*.f64 2 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))
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(*.f64 2 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (*.f64 eps (exp.f64 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (*.f64 eps (exp.f64 (*.f64 -1 x))) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (*.f64 eps (exp.f64 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (*.f64 eps (exp.f64 (*.f64 -1 x))) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (*.f64 eps (exp.f64 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (*.f64 eps (exp.f64 (*.f64 -1 x))) x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
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(/.f64 1 (/.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2) (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3) (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2))
(/.f64 (*.f64 (+.f64 x 1) (*.f64 eps 2)) (exp.f64 x))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3)) (neg.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2)) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (neg.f64 (*.f64 eps 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3) 0) (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2)) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (neg.f64 (*.f64 eps 2))))
(/.f64 (*.f64 (*.f64 (+.f64 x 1) (*.f64 eps 2)) 1) (exp.f64 x))
(pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (*.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))))
(exp.f64 (+.f64 (+.f64 x (log1p.f64 x)) (log.f64 (*.f64 eps 2))))
(exp.f64 (*.f64 (+.f64 (+.f64 x (log1p.f64 x)) (log.f64 (*.f64 eps 2))) 1))
(fma.f64 1 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2)) 0)
(fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2) 0)
(fma.f64 eps (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) 0)
(fma.f64 (*.f64 eps 2) (exp.f64 (+.f64 x (log1p.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) 2) (cbrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) 0)
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) (sqrt.f64 (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 eps 2))) 0)
(fma.f64 (*.f64 (+.f64 x 1) (*.f64 eps 2)) (exp.f64 x) 0)
(+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(*.f64 1 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))
(*.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 3) 1) (+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (-.f64 1 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1) (-.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 1))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3 x) 1/2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 1/3 x -1/2)))
(fma.f64 (pow.f64 x 2) (fma.f64 x 1/3 -1/2) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) 1/2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 1/3 (*.f64 x -1/8)) -1/2)))
(fma.f64 (pow.f64 x 2) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 x (exp.f64 (*.f64 -1 x)))
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 x)) x)))))
(*.f64 (neg.f64 x) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 -1 (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
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(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(*.f64 (-.f64 1 (pow.f64 eps 2)) (/.f64 x (+.f64 1 eps)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(*.f64 (-.f64 1 (pow.f64 eps 2)) (/.f64 x (+.f64 1 eps)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 1 eps)))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(*.f64 x (-.f64 1 eps))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(*.f64 x (-.f64 1 eps))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(*.f64 x (-.f64 1 eps))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(*.f64 x (-.f64 1 eps))
(neg.f64 (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(*.f64 x (-.f64 1 eps))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(*.f64 x (-.f64 1 eps))

eval231.0ms (1.2%)

Compiler

Compiled 12243 to 8293 computations (32.3% saved)

prune98.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5009509
Fresh101
Picked325
Done000
Total50411515
Accuracy
100.0%
Counts
515 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.5%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
36.9%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
29.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
42.2%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
34.9%
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
63.6%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
57.3%
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
17.1%
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
17.1%
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
43.0%
(/.f64 2 2)
16.4%
(/.f64 0 2)
Compiler

Compiled 254 to 212 computations (16.5% saved)

localize587.0ms (3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)))
75.2%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x)))
100.0%
(/.f64 (expm1.f64 (neg.f64 x)) eps)
100.0%
(*.f64 x (-.f64 1 eps))
99.8%
(*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))
100.0%
(*.f64 x (neg.f64 (-.f64 1 eps)))
100.0%
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
Compiler

Compiled 216 to 136 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 316.0ms
Operation ival-mult, time spent: 76.0ms, 24.0% of total-time
Operation ival-div, time spent: 62.0ms, 20.0% of total-time
Operation ival-sub, time spent: 57.0ms, 18.0% of total-time
Operation ival-add, time spent: 44.0ms, 14.0% of total-time
Operation ival-exp, time spent: 36.0ms, 11.0% of total-time
Operation composed, time spent: 14.0ms, 4.0% of total-time
Operation ival-neg, time spent: 14.0ms, 4.0% of total-time
Operation const, time spent: 13.0ms, 4.0% of total-time

series41.0ms (0.2%)

Counts
8 → 168
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@0
(*.f64 x (-.f64 1 eps))
2.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1))
2.0ms
x
@0
(*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))
1.0ms
x
@inf
(*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x)))
1.0ms
x
@inf
(*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))

rewrite190.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
448×associate-*r*
397×log1p-expm1-u
278×associate-*l*
239×expm1-log1p-u
236×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031254
1529220
27899220
Stop Event
node limit
Counts
8 → 236
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 3))) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
(*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 3)))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 3))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 3)))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) 1) (expm1.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (+.f64 -1 eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(-.f64 0 (*.f64 x (+.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(pow.f64 (*.f64 x (+.f64 -1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1 eps))) 1))
(+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 (/.f64 1 eps) (*.f64 x (+.f64 -1 eps))))
(+.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (*.f64 (neg.f64 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) -1) (*.f64 (*.f64 x (+.f64 -1 eps)) (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) (/.f64 1 eps)) (*.f64 (*.f64 x (+.f64 -1 eps)) -1))
(+.f64 (*.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1) (*.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (neg.f64 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (*.f64 x (+.f64 -1 eps))) (*.f64 x (+.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))))) 1)
(/.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) (+.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 x (+.f64 -1 eps))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 x (+.f64 -1 eps))) (+.f64 -1 (/.f64 1 eps)))
(pow.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 x (+.f64 -1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (/.f64 1 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 -1 eps) (+.f64 -1 (/.f64 1 eps))))) 1))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (+.f64 -1 eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(-.f64 0 (*.f64 x (+.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
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(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps))) 2)))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 eps -2) -1)) (+.f64 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)) -1))
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(pow.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps))) 3) 1/3)
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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 1))

simplify204.0ms (1%)

Algorithm
egg-herbie
Rules
1300×times-frac
560×associate-*l*
556×fma-define
538×associate-*r*
536×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065016491
1164714734
2524014603
Stop Event
node limit
Counts
404 → 414
Calls
Call 1
Inputs
2
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(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) 1) (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 x)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 x)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 1))
Outputs
2
(+.f64 2 (*.f64 x (-.f64 eps 1)))
(+.f64 2 (*.f64 x (+.f64 eps -1)))
(fma.f64 x (+.f64 eps -1) 2)
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 1/2 (*.f64 x (pow.f64 (-.f64 eps 1) 2)))) 1)))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 (*.f64 (*.f64 1/2 x) (pow.f64 (+.f64 eps -1) 2)) 1))))
(fma.f64 x (+.f64 eps (fma.f64 1/2 (*.f64 x (pow.f64 (+.f64 eps -1) 2)) -1)) 2)
(fma.f64 x (+.f64 eps (fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x 1/2) -1)) 2)
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 x (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 (-.f64 eps 1) 3))) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))))) 1)))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 (*.f64 x (fma.f64 1/6 (*.f64 x (pow.f64 (+.f64 eps -1) 3)) (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)))) 1))))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 (pow.f64 (+.f64 eps -1) 3) 1/6))) -1)) 2)
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 1/2 (pow.f64 (+.f64 eps -1) 2) (*.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 x 1/6))) -1)) 2)
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))
(+.f64 1 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 eps (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 1/2 (*.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 eps (fma.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 eps (exp.f64 x))) (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 1/6 (*.f64 eps (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 eps (fma.f64 1/6 (*.f64 (*.f64 eps (pow.f64 x 3)) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 eps (fma.f64 eps (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 eps (exp.f64 x))))) (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (fma.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 eps (exp.f64 x))))) (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) eps)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(*.f64 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 eps 2) x)) eps)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 2))) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 eps 2) x)) eps)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 2))) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 eps 2) x)) eps)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 2))) eps)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x (pow.f64 eps 2)))))
(*.f64 eps (+.f64 x (/.f64 (neg.f64 x) (pow.f64 eps 2))))
(*.f64 eps (-.f64 x (/.f64 x (pow.f64 eps 2))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 eps -1))
x
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
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(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 eps (neg.f64 x))
(*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps)))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps)))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 eps (+.f64 (*.f64 -1 x) (/.f64 x eps)))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 eps (neg.f64 x))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps)))))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps)))))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1 (/.f64 x eps)))))
(*.f64 eps (fma.f64 -1 x (/.f64 x eps)))
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(/.f64 (neg.f64 x) eps)
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(*.f64 x (fma.f64 1/2 (/.f64 x eps) (neg.f64 (/.f64 1 eps))))
(*.f64 x (fma.f64 1/2 (/.f64 x eps) (/.f64 -1 eps)))
(*.f64 x (fma.f64 x (/.f64 1/2 eps) (/.f64 -1 eps)))
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps)))
(*.f64 x (fma.f64 x (fma.f64 -1/6 (/.f64 x eps) (/.f64 1/2 eps)) (neg.f64 (/.f64 1 eps))))
(*.f64 x (fma.f64 x (fma.f64 (/.f64 x eps) -1/6 (/.f64 1/2 eps)) (/.f64 -1 eps)))
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (*.f64 1/24 x) eps) (/.f64 1/6 eps)) (/.f64 1/2 eps)) (neg.f64 (/.f64 1 eps))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (/.f64 x eps) 1/24 (/.f64 -1/6 eps)) (/.f64 1/2 eps)) (/.f64 -1 eps)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
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(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
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(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
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(/.f64 (expm1.f64 (neg.f64 x)) eps)
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(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
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(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))) 1))
(+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(fma.f64 1 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 2)) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 x) (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(+.f64 (exp.f64 x) (*.f64 (/.f64 1 eps) (exp.f64 x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))) 1)
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) 1) (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))
(/.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 (-.f64 x (log1p.f64 (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 x)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (pow.f64 eps -2)) (exp.f64 (-.f64 x (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 1)
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 2)
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 2))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 3)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))

eval153.0ms (0.8%)

Compiler

Compiled 7626 to 5572 computations (26.9% saved)

prune92.0ms (0.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New39618414
Fresh224
Picked415
Done022
Total40223425
Accuracy
100.0%
Counts
425 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
17.2%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
42.2%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
29.1%
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
29.1%
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
33.8%
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
29.1%
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
47.6%
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
35.7%
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
62.2%
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2)
64.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
55.0%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
57.3%
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
17.1%
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
16.6%
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
7.4%
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
7.7%
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
2.1%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
10.7%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
2.2%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
3.1%
(/.f64 (*.f64 2 x) 2)
43.0%
(/.f64 2 2)
16.4%
(/.f64 0 2)
Compiler

Compiled 591 to 469 computations (20.6% saved)

localize461.0ms (2.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x (+.f64 1 (/.f64 1 eps)))
99.8%
(*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))
99.8%
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))
99.5%
(*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps))))
100.0%
(-.f64 (/.f64 x eps) x)
100.0%
(*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))
100.0%
(+.f64 x (/.f64 x eps))
100.0%
(exp.f64 (*.f64 x eps))
100.0%
(+.f64 1 (exp.f64 (*.f64 x eps)))
Compiler

Compiled 314 to 210 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
Operation ival-mult, time spent: 99.0ms, 40.0% of total-time
Operation ival-div, time spent: 70.0ms, 28.0% of total-time
Operation ival-add, time spent: 59.0ms, 24.0% of total-time
Operation const, time spent: 13.0ms, 5.0% of total-time
Operation ival-sub, time spent: 4.0ms, 2.0% of total-time
Operation ival-exp, time spent: 2.0ms, 1.0% of total-time

series46.0ms (0.2%)

Counts
9 → 175
Calls

54 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))
3.0ms
eps
@0
(+.f64 x (/.f64 x eps))
1.0ms
eps
@-inf
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))
1.0ms
eps
@0
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))
1.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))

rewrite113.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
492×associate-*r*
332×associate-*l*
245×log1p-expm1-u
245×expm1-log1p-u
243×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030332
1524289
Stop Event
node limit
Counts
9 → 308
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 x eps)))
(exp.f64 (*.f64 x eps))
(+.f64 x (/.f64 x eps))
(*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))
(-.f64 (/.f64 x eps) x)
(*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps))))
(*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))
(*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2) (-.f64 1 (pow.f64 (exp.f64 eps) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 eps) x)))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) x) (expm1.f64 (*.f64 x eps))))))
(*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 eps) x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) x) (expm1.f64 (*.f64 x eps)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) x)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) x) (expm1.f64 (*.f64 x eps)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 2)) (-.f64 1 (pow.f64 (exp.f64 eps) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 eps) x) (expm1.f64 (*.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 eps) x) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 eps) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2) 1) (expm1.f64 (*.f64 x eps)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 1 (pow.f64 (exp.f64 eps) x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 1)
(*.f64 1 (pow.f64 (exp.f64 eps) x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(pow.f64 (pow.f64 (exp.f64 eps) x) 1)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) 2)
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(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 3))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 2))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (+.f64 1 (/.f64 1 eps))))) 1))
(fma.f64 x (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (pow.f64 x 2)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) x (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))))
(+.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6))
(+.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))
(+.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) 1) (*.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) 1) (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) 3) (pow.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6)) (-.f64 (*.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))) (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) 3) (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) 3)) (+.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x))) (-.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)) (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6)) (*.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))))) (-.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x))) (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))) (-.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3) -1/216) (pow.f64 (+.f64 1/2 (/.f64 1/2 eps)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 2) 1/36) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) (-.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 x (/.f64 x eps)) -1/6)))))
(/.f64 (*.f64 x (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) 2)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))
(pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 1))
(fma.f64 x (*.f64 (+.f64 x (/.f64 x eps)) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))))
(fma.f64 (*.f64 (+.f64 x (/.f64 x eps)) -1/6) x (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))
(+.f64 x (/.f64 x eps))
(+.f64 x (*.f64 (/.f64 1 eps) x))
(+.f64 x (*.f64 (/.f64 x eps) 1))
(+.f64 x (*.f64 (*.f64 (/.f64 1 eps) x) 1))
(+.f64 (/.f64 x eps) x)
(+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (/.f64 1 eps) x) x)
(+.f64 (*.f64 (/.f64 x eps) 1) x)
(+.f64 (*.f64 x -1) (*.f64 x (/.f64 -1 eps)))
(+.f64 (*.f64 x -1) (*.f64 x (*.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 x eps)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (/.f64 x eps))) (/.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 x (/.f64 x eps))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 x eps)) (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))) (neg.f64 (-.f64 x (/.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 (pow.f64 x 2) (*.f64 (/.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 1 eps) x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x)) (*.f64 (/.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x))) (-.f64 x (*.f64 (/.f64 1 eps) x)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(pow.f64 (+.f64 x (/.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 x eps))) 2)
(neg.f64 (+.f64 x (/.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 x eps))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 x eps))))
(exp.f64 (log.f64 (+.f64 x (/.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 x eps))) 1))
(fma.f64 1 x (/.f64 x eps))
(fma.f64 1 x (*.f64 (/.f64 1 eps) x))
(fma.f64 1 (/.f64 x eps) x)
(fma.f64 x 1 (/.f64 x eps))
(fma.f64 x (/.f64 1 eps) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (cbrt.f64 (/.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 1 eps) x))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 1 eps) x))

simplify516.0ms (2.7%)

Algorithm
egg-herbie
Rules
1170×associate-*r*
1128×associate-*l*
1070×fma-define
706×distribute-lft-in
704×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077421410
1212519378
Stop Event
node limit
Counts
483 → 490
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 eps x))
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)))))
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 1/2 (pow.f64 eps 2)))))))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
2
(+.f64 2 (*.f64 eps x))
(+.f64 2 (*.f64 eps (+.f64 x (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(+.f64 2 (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))))))
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(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 eps x)))
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)))))
(+.f64 1 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 1/2 (pow.f64 eps 2)))))))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (*.f64 eps (+.f64 x (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(+.f64 1 (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))))))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(/.f64 x eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
x
x
(*.f64 -1 (/.f64 x eps))
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 2 (*.f64 eps x))) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 x eps))))
(*.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 eps 2))) (*.f64 2 (/.f64 x eps)))))
(*.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 eps 2))) (*.f64 2 (/.f64 x eps)))))
(*.f64 -1 (*.f64 eps x))
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(+.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) 1) (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) 3) (pow.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6)) (-.f64 (*.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))) (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) 3) (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) 3)) (+.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x))) (-.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)) (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6)) (*.f64 (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))))) (-.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x))) (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))) (-.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3) -1/216) (pow.f64 (+.f64 1/2 (/.f64 1/2 eps)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 2) 1/36) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) (-.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 x (/.f64 x eps)) -1/6)))))
(/.f64 (*.f64 x (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)) 2)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))
(pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 x) 1/2)))) 1))
(fma.f64 x (*.f64 (+.f64 x (/.f64 x eps)) -1/6) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps))))
(fma.f64 (*.f64 (+.f64 x (/.f64 x eps)) -1/6) x (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))
(+.f64 x (/.f64 x eps))
(+.f64 x (*.f64 (/.f64 1 eps) x))
(+.f64 x (*.f64 (/.f64 x eps) 1))
(+.f64 x (*.f64 (*.f64 (/.f64 1 eps) x) 1))
(+.f64 (/.f64 x eps) x)
(+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (/.f64 1 eps) x) x)
(+.f64 (*.f64 (/.f64 x eps) 1) x)
(+.f64 (*.f64 x -1) (*.f64 x (/.f64 -1 eps)))
(+.f64 (*.f64 x -1) (*.f64 x (*.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 x eps)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (/.f64 x eps))) (/.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 x (/.f64 x eps))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 x eps)) (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))) (neg.f64 (-.f64 x (/.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 (pow.f64 x 2) (*.f64 (/.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 1 eps) x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x)) (*.f64 (/.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x))) (-.f64 x (*.f64 (/.f64 1 eps) x)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(pow.f64 (+.f64 x (/.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 x eps))) 2)
(neg.f64 (+.f64 x (/.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 x eps))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 x eps))))
(exp.f64 (log.f64 (+.f64 x (/.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 x eps))) 1))
(fma.f64 1 x (/.f64 x eps))
(fma.f64 1 x (*.f64 (/.f64 1 eps) x))
(fma.f64 1 (/.f64 x eps) x)
(fma.f64 x 1 (/.f64 x eps))
(fma.f64 x (/.f64 1 eps) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (cbrt.f64 (/.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 1 eps) x))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 1 eps) x))
Outputs
2
(+.f64 2 (*.f64 eps x))
(fma.f64 eps x 2)
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)))))
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 x (pow.f64 eps 2))))))
(fma.f64 eps (fma.f64 1/2 (*.f64 eps (pow.f64 x 2)) x) 2)
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 1/2 (pow.f64 eps 2)))))))
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 x (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (*.f64 1/2 (pow.f64 eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 3) (*.f64 x 1/6))) eps) 2)
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
2
(+.f64 2 (*.f64 eps x))
(fma.f64 eps x 2)
(+.f64 2 (*.f64 eps (+.f64 x (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(+.f64 2 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 x (pow.f64 eps 2))))))
(fma.f64 eps (fma.f64 1/2 (*.f64 eps (pow.f64 x 2)) x) 2)
(+.f64 2 (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 2 (*.f64 eps (+.f64 x (*.f64 eps (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) (*.f64 eps 1/6))) x) 2)
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
(+.f64 1 (pow.f64 (exp.f64 eps) x))
1
(+.f64 1 (*.f64 eps x))
(+.f64 (*.f64 eps x) 1)
(fma.f64 eps x 1)
(+.f64 1 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)))))
(+.f64 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 x (pow.f64 eps 2))))) 1)
(fma.f64 eps (fma.f64 1/2 (*.f64 eps (pow.f64 x 2)) x) 1)
(+.f64 1 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 1/2 (pow.f64 eps 2)))))))
(+.f64 (*.f64 x (+.f64 eps (*.f64 x (fma.f64 1/6 (*.f64 x (pow.f64 eps 3)) (*.f64 1/2 (pow.f64 eps 2)))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 1/2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 3) (*.f64 x 1/6))) eps) 1)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
1
(+.f64 1 (*.f64 eps x))
(+.f64 (*.f64 eps x) 1)
(fma.f64 eps x 1)
(+.f64 1 (*.f64 eps (+.f64 x (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(+.f64 (*.f64 x (+.f64 eps (*.f64 1/2 (*.f64 x (pow.f64 eps 2))))) 1)
(fma.f64 eps (fma.f64 1/2 (*.f64 eps (pow.f64 x 2)) x) 1)
(+.f64 1 (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 1 (*.f64 eps (+.f64 x (*.f64 eps (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) (*.f64 eps 1/6))) x) 1)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(*.f64 x (+.f64 1 (/.f64 1 eps)))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(/.f64 x eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
(/.f64 (*.f64 (+.f64 eps 1) x) eps)
(/.f64 (fma.f64 eps x x) eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
(/.f64 (*.f64 (+.f64 eps 1) x) eps)
(/.f64 (fma.f64 eps x x) eps)
(/.f64 (+.f64 x (*.f64 eps x)) eps)
(/.f64 (*.f64 (+.f64 eps 1) x) eps)
(/.f64 (fma.f64 eps x x) eps)
x
x
(*.f64 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 2 (*.f64 eps x))) eps)
(/.f64 (fma.f64 -1 x (*.f64 2 (*.f64 eps x))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 2 eps) -1)) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)
(/.f64 (fma.f64 -1 x (*.f64 eps (fma.f64 -1 (*.f64 eps x) (*.f64 2 x)))) eps)
(/.f64 (fma.f64 eps (*.f64 x (+.f64 (neg.f64 eps) 2)) (neg.f64 x)) eps)
(/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)
(/.f64 (fma.f64 -1 x (*.f64 eps (fma.f64 -1 (*.f64 eps x) (*.f64 2 x)))) eps)
(/.f64 (fma.f64 eps (*.f64 x (+.f64 (neg.f64 eps) 2)) (neg.f64 x)) eps)
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 x eps))))
(*.f64 eps (fma.f64 -1 x (*.f64 2 (/.f64 x eps))))
(*.f64 eps (-.f64 (*.f64 x (/.f64 2 eps)) x))
(*.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 eps 2))) (*.f64 2 (/.f64 x eps)))))
(*.f64 eps (fma.f64 -1 x (fma.f64 -1 (/.f64 x (pow.f64 eps 2)) (*.f64 2 (/.f64 x eps)))))
(*.f64 eps (-.f64 (-.f64 (*.f64 x (/.f64 2 eps)) (/.f64 x (pow.f64 eps 2))) x))
(*.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 eps 2))) (*.f64 2 (/.f64 x eps)))))
(*.f64 eps (fma.f64 -1 x (fma.f64 -1 (/.f64 x (pow.f64 eps 2)) (*.f64 2 (/.f64 x eps)))))
(*.f64 eps (-.f64 (-.f64 (*.f64 x (/.f64 2 eps)) (/.f64 x (pow.f64 eps 2))) x))
(*.f64 -1 (*.f64 eps x))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) (*.f64 x (+.f64 x (/.f64 x eps)))) 1/36) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) (+.f64 1/2 (/.f64 1/2 eps))))) (-.f64 (*.f64 -1/6 (*.f64 x (+.f64 x (/.f64 x eps)))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))
(/.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (fma.f64 x -1/6 1/2)) (*.f64 x (-.f64 (*.f64 x (+.f64 -1/6 (/.f64 -1/6 eps))) (+.f64 1/2 (/.f64 1/2 eps))))) (*.f64 x (-.f64 (*.f64 x (+.f64 -1/6 (/.f64 -1/6 eps))) (+.f64 1/2 (/.f64 1/2 eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x))) (*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x))) (-.f64 (*.f64 (+.f64 x (/.f64 x eps)) (*.f64 -1/6 x)) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x eps))) (*.f64 x (+.f64 x (/.f64 x eps)))) 1/36) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) (+.f64 1/2 (/.f64 1/2 eps))))) (-.f64 (*.f64 -1/6 (*.f64 x (+.f64 x (/.f64 x eps)))) (*.f64 x (+.f64 1/2 (/.f64 1/2 eps)))))
(/.f64 (*.f64 (*.f64 (+.f64 x (/.f64 x eps)) (fma.f64 x -1/6 1/2)) (*.f64 x (-.f64 (*.f64 x (+.f64 -1/6 (/.f64 -1/6 eps))) (+.f64 1/2 (/.f64 1/2 eps))))) (*.f64 x (-.f64 (*.f64 x (+.f64 -1/6 (/.f64 -1/6 eps))) (+.f64 1/2 (/.f64 1/2 eps)))))
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(*.f64 x (+.f64 -1 (/.f64 -1 eps)))
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(*.f64 x (+.f64 -1 (/.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 x eps)))) 1)
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(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (/.f64 x eps))) (/.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 x (/.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
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(/.f64 1 (/.f64 (-.f64 x (/.f64 x eps)) (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2))) (neg.f64 (-.f64 x (/.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (+.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 (pow.f64 x 2) (*.f64 (/.f64 x eps) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 1 eps) x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x)) (*.f64 (/.f64 x eps) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 x x (*.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (/.f64 1 eps) x) (*.f64 (/.f64 1 eps) x))) (-.f64 x (*.f64 (/.f64 1 eps) x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 x eps) 2)) (-.f64 x (/.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 x 2)) (-.f64 (/.f64 x eps) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps -3))) (+.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (/.f64 1 eps))))
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(fma.f64 x (/.f64 1 eps) x)
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(fma.f64 x (/.f64 1 eps) x)
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(fma.f64 x (/.f64 1 eps) x)
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(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) x)
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x eps))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 1 eps) x))
(fma.f64 x (/.f64 1 eps) x)
(+.f64 x (/.f64 x eps))

eval261.0ms (1.3%)

Compiler

Compiled 11491 to 7818 computations (32% saved)

prune135.0ms (0.7%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New4828490
Fresh41115
Picked325
Done033
Total48924513
Accuracy
100.0%
Counts
513 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
17.2%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
42.2%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
29.4%
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
41.8%
(/.f64 (-.f64 2 x) 2)
39.1%
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
42.5%
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
48.4%
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
37.0%
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
47.4%
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
48.6%
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
62.2%
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2)
64.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
55.0%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
57.3%
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
17.1%
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
16.6%
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
7.7%
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
2.1%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
10.7%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
2.2%
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
3.1%
(/.f64 (*.f64 2 x) 2)
43.0%
(/.f64 2 2)
16.4%
(/.f64 0 2)
Compiler

Compiled 994 to 745 computations (25.1% saved)

regimes125.0ms (0.6%)

Counts
45 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Calls

4 calls:

60.0ms
x
43.0ms
eps
9.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
6.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
AccuracySegmentsBranch
98.5%3x
100.0%2eps
99.6%2(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
99.6%2(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes201.0ms (1%)

Counts
41 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 eps 2) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 0) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
Calls

2 calls:

108.0ms
eps
89.0ms
x
Results
AccuracySegmentsBranch
89.8%5x
84.3%5eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes156.0ms (0.8%)

Counts
34 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
Outputs
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
Calls

2 calls:

91.0ms
x
62.0ms
eps
Results
AccuracySegmentsBranch
82.0%4eps
82.5%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes64.0ms (0.3%)

Counts
33 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
Outputs
(/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
Calls

1 calls:

61.0ms
eps
Results
AccuracySegmentsBranch
82.0%4eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes136.0ms (0.7%)

Counts
32 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (*.f64 x 2) (exp.f64 x)) 2)
(/.f64 (*.f64 (*.f64 2 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

2 calls:

87.0ms
x
45.0ms
eps
Results
AccuracySegmentsBranch
82.5%5x
66.9%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes72.0ms (0.4%)

Counts
29 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

1 calls:

70.0ms
x
Results
AccuracySegmentsBranch
74.6%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes131.0ms (0.7%)

Counts
25 → 6
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 2 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

1 calls:

128.0ms
x
Results
AccuracySegmentsBranch
73.2%6x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.3%)

Counts
24 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x eps)) (*.f64 1/6 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 x (+.f64 (*.f64 -1/6 (+.f64 (neg.f64 x) (*.f64 (/.f64 -1 eps) x))) (*.f64 1/2 (+.f64 1 (/.f64 1 eps)))))))) 2)
Outputs
(/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2)
(/.f64 2 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

1 calls:

62.0ms
x
Results
AccuracySegmentsBranch
70.1%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes175.0ms (0.9%)

Counts
19 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1 (*.f64 -1/3 x))) 2)))) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 eps)))) (/.f64 1 eps))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

2 calls:

88.0ms
eps
86.0ms
x
Results
AccuracySegmentsBranch
52.8%4eps
65.5%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts
15 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x -2))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 2 (+.f64 x (/.f64 x eps))) 2)
(/.f64 (-.f64 2 (neg.f64 (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (*.f64 x (+.f64 2 (*.f64 x (-.f64 x 2)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) x)) 2)
(/.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x eps)) (/.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 eps -1) (-.f64 (/.f64 x eps) x))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
64.4%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
Outputs
(/.f64 2 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 eps x)) 2)
(/.f64 0 2)
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
59.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (-.f64 2 x) 2)
Outputs
(/.f64 2 2)
(/.f64 0 2)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
56.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
Outputs
(/.f64 0 2)
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
16.4%1eps
16.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
20.0ms
3.967321575543328e-7
1.22291503368565e-5
Results
13.0ms63×256valid
4.0ms17×256unsamplable
0.0ms256valid
Compiler

Compiled 216 to 177 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-div, time spent: 2.0ms, 22.0% of total-time
Operation ival-mult, time spent: 2.0ms, 22.0% of total-time
Operation ival-sub, time spent: 1.0ms, 11.0% of total-time
Operation ival-add, time spent: 1.0ms, 11.0% of total-time
Operation ival-exp, time spent: 1.0ms, 11.0% of total-time
Operation ival-neg, time spent: 1.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch128.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.3395633638670357e+296
3.0248383432936987e+296
31.0ms
8.302486540243691e+219
6.6685131306929945e+221
33.0ms
9.698569622226212e+145
4.0823902425984115e+148
43.0ms
-5.722138350121277e-186
-3.55617738257461e-187
Results
47.0ms205×256infinite
44.0ms194×256valid
13.0ms23×1024valid
3.0ms512valid
0.0ms256valid
1.0ms2048valid
Compiler

Compiled 727 to 605 computations (16.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
Operation ival-div, time spent: 16.0ms, 26.0% of total-time
Operation ival-mult, time spent: 15.0ms, 24.0% of total-time
Operation ival-sub, time spent: 9.0ms, 15.0% of total-time
Operation ival-exp, time spent: 8.0ms, 13.0% of total-time
Operation ival-add, time spent: 6.0ms, 10.0% of total-time
Operation ival-neg, time spent: 5.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch99.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
3.791867334433351e+252
1.7475300947597478e+255
28.0ms
6.31781811090973e+241
4.138640517795838e+242
32.0ms
0.23127699101731714
6.305030336641211
Results
52.0ms220×256infinite
27.0ms115×256valid
2.0ms256unsamplable
0.0ms256infinite
Compiler

Compiled 733 to 586 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
Operation ival-sub, time spent: 10.0ms, 23.0% of total-time
Operation ival-mult, time spent: 10.0ms, 23.0% of total-time
Operation ival-div, time spent: 8.0ms, 19.0% of total-time
Operation ival-exp, time spent: 5.0ms, 12.0% of total-time
Operation ival-neg, time spent: 5.0ms, 12.0% of total-time
Operation ival-add, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

bsearch106.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
3.791867334433351e+252
1.7475300947597478e+255
34.0ms
6.31781811090973e+241
4.138640517795838e+242
32.0ms
0.23127699101731714
6.305030336641211
Results
64.0ms225×256infinite
26.0ms110×256valid
1.0ms256unsamplable
0.0ms256infinite
Compiler

Compiled 694 to 547 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-sub, time spent: 17.0ms, 31.0% of total-time
Operation ival-mult, time spent: 10.0ms, 18.0% of total-time
Operation ival-exp, time spent: 9.0ms, 16.0% of total-time
Operation ival-div, time spent: 8.0ms, 14.0% of total-time
Operation ival-add, time spent: 7.0ms, 13.0% of total-time
Operation ival-neg, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

bsearch191.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
1.3395633638670357e+296
3.0248383432936987e+296
35.0ms
4.219635728216885e+225
1.4982265231739771e+228
39.0ms
9.698569622226212e+145
4.0823902425984115e+148
67.0ms
-3941517442.616967
-6114.579094325889
Results
94.0ms291×256infinite
38.0ms147×256valid
29.0ms28×1024infinite
5.0ms13×512infinite
0.0ms256valid
Compiler

Compiled 569 to 493 computations (13.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
Operation ival-add, time spent: 19.0ms, 22.0% of total-time
Operation ival-div, time spent: 18.0ms, 21.0% of total-time
Operation ival-sub, time spent: 17.0ms, 19.0% of total-time
Operation ival-mult, time spent: 15.0ms, 17.0% of total-time
Operation ival-exp, time spent: 10.0ms, 11.0% of total-time
Operation ival-neg, time spent: 5.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

bsearch157.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
25.0ms
1.3395633638670357e+296
3.0248383432936987e+296
36.0ms
4.219635728216885e+225
1.4982265231739771e+228
28.0ms
9.698569622226212e+145
4.0823902425984115e+148
68.0ms
277.5963678363511
262560295602706.25
Results
79.0ms228×256infinite
35.0ms152×256valid
21.0ms29×1024valid
2.0ms512valid
0.0ms256valid
1.0ms2048valid
Compiler

Compiled 479 to 410 computations (14.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
Operation ival-div, time spent: 23.0ms, 30.0% of total-time
Operation ival-mult, time spent: 19.0ms, 25.0% of total-time
Operation ival-add, time spent: 10.0ms, 13.0% of total-time
Operation ival-exp, time spent: 9.0ms, 12.0% of total-time
Operation ival-sub, time spent: 8.0ms, 10.0% of total-time
Operation ival-neg, time spent: 5.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch185.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.3395633638670357e+296
3.0248383432936987e+296
42.0ms
4.219635728216885e+225
1.4982265231739771e+228
4.0ms
9.698569622226212e+145
4.0823902425984115e+148
60.0ms
277.5963678363511
262560295602706.25
59.0ms
-0.0006807455101201083
-6.393012309905719e-6
Results
73.0ms288×256infinite
33.0ms137×256valid
35.0ms47×1024valid
20.0ms22×512valid
0.0ms256valid
1.0ms2048valid
Compiler

Compiled 619 to 522 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
Operation ival-mult, time spent: 33.0ms, 36.0% of total-time
Operation ival-div, time spent: 20.0ms, 22.0% of total-time
Operation ival-exp, time spent: 12.0ms, 13.0% of total-time
Operation ival-sub, time spent: 10.0ms, 11.0% of total-time
Operation ival-add, time spent: 7.0ms, 8.0% of total-time
Operation ival-neg, time spent: 6.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

bsearch164.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.3395633638670357e+296
3.0248383432936987e+296
33.0ms
4.219635728216885e+225
1.4982265231739771e+228
30.0ms
262560295602706.25
64516679459989220.0
77.0ms
-0.0006807455101201083
-6.393012309905719e-6
Results
53.0ms248×256infinite
34.0ms143×256valid
17.0ms30×1024valid
36.0ms512valid
2.0ms2048valid
0.0ms256infinite
Compiler

Compiled 538 to 463 computations (13.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
Operation ival-sub, time spent: 39.0ms, 40.0% of total-time
Operation ival-mult, time spent: 17.0ms, 17.0% of total-time
Operation ival-div, time spent: 15.0ms, 15.0% of total-time
Operation ival-add, time spent: 11.0ms, 11.0% of total-time
Operation ival-exp, time spent: 9.0ms, 9.0% of total-time
Operation ival-neg, time spent: 5.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

bsearch125.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.3395633638670357e+296
3.0248383432936987e+296
34.0ms
4.219635728216885e+225
1.4982265231739771e+228
68.0ms
6.553161313351878e-7
46.04674371511441
Results
47.0ms212×256infinite
22.0ms93×256valid
28.0ms32×1024valid
11.0ms14×512valid
0.0ms256infinite
Compiler

Compiled 460 to 400 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
Operation ival-div, time spent: 21.0ms, 33.0% of total-time
Operation ival-mult, time spent: 12.0ms, 19.0% of total-time
Operation ival-sub, time spent: 10.0ms, 16.0% of total-time
Operation ival-exp, time spent: 9.0ms, 14.0% of total-time
Operation ival-add, time spent: 5.0ms, 8.0% of total-time
Operation ival-neg, time spent: 4.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch195.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.3395633638670357e+296
3.0248383432936987e+296
130.0ms
4.219635728216885e+225
1.4982265231739771e+228
42.0ms
46.04674371511441
252.8244760832474
Results
139.0ms167×256infinite
21.0ms103×256valid
17.0ms24×1024valid
3.0ms512valid
2.0ms2048valid
0.0ms256valid
Compiler

Compiled 346 to 301 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
Operation ival-div, time spent: 108.0ms, 75.0% of total-time
Operation ival-mult, time spent: 12.0ms, 8.0% of total-time
Operation ival-exp, time spent: 7.0ms, 5.0% of total-time
Operation ival-sub, time spent: 6.0ms, 4.0% of total-time
Operation ival-neg, time spent: 4.0ms, 3.0% of total-time
Operation ival-add, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

bsearch115.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.3395633638670357e+296
3.0248383432936987e+296
60.0ms
4.219635728216885e+225
1.4982265231739771e+228
29.0ms
262560295602706.25
64516679459989220.0
Results
43.0ms188×256infinite
26.0ms131×256valid
6.0ms256valid
Compiler

Compiled 328 to 295 computations (10.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation ival-div, time spent: 11.0ms, 28.0% of total-time
Operation ival-mult, time spent: 11.0ms, 28.0% of total-time
Operation ival-sub, time spent: 5.0ms, 13.0% of total-time
Operation ival-add, time spent: 4.0ms, 10.0% of total-time
Operation ival-exp, time spent: 4.0ms, 10.0% of total-time
Operation ival-neg, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
262560295602706.25
64516679459989220.0
Results
12.0ms60×256infinite
13.0ms51×256valid
0.0ms256infinite
Compiler

Compiled 120 to 113 computations (5.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-div, time spent: 3.0ms, 25.0% of total-time
Operation ival-mult, time spent: 3.0ms, 25.0% of total-time
Operation ival-sub, time spent: 2.0ms, 17.0% of total-time
Operation ival-add, time spent: 1.0ms, 8.0% of total-time
Operation ival-exp, time spent: 1.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time
Operation ival-neg, time spent: 1.0ms, 8.0% of total-time

simplify104.0ms (0.5%)

Algorithm
egg-herbie
Rules
246×distribute-lft-neg-in
138×neg-mul-1
126×neg-sub0
106×unsub-neg
102×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01841623
12751583
23181567
33761567
44171567
54891567
65601567
76571567
87751567
98621567
109281567
119651567
129741567
139741567
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps 1770887431076117/295147905179352825856) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 x -7054391967346573/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2) (if (<=.f64 x 39000000000000000206564076363041652878339178400188384269709713498114858495399351160664698124867399292171134412195544010682923869141486291745266204672) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 9800000000000000065414102524419581046471133676752134749525911547009413201330878876986383281263616763031832977457617948819422317801769771843281297793739004461224573321198979621408868099961979931418995051581901239004168192) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 x 290000000000000003667147474514015094904981938059248519530254719661723597500431814126790246627999008092654968995320943133424814775426335920043924738922667062120747692980561259224158375259687182265865607491842718031823526056928115698679383956785220325644286254641294667259109169718240129849994772480) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 eps 259999999999999977715548557364936490665331531235377134725938289041819075179593889603535812083226803718157279795794191572894275141770077472544175760662694115716880765183675850214049155767143963660094190045849960553748462487209339098212817960960) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (if (<=.f64 eps 20499999999999999997700061146082169265893752896764314312756463310210032947402154335394966350159506503890848857074729080261557024318824162862389711009499503656840504361443782442624632745509164916345333263688536163969723428542641367843368563942421853896704) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 eps 409999999999999979437316470387121672601342815617927901087563754744061179278210613267262083311914652569963846233031957129594573386224580609607485207495723693484425360793522073937063692943969672396022982376223555821977360557846832948564402896896) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 eps 13500000000000000117602470351247392373840494548653846941159952347027870408416733086128714701134577207046692546066783242860827018708121684194834984055358376700096305826822604600444312852118624010442656452656277782206523329226893579087307428639182197620736) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))
(if (<=.f64 x -6200) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 37000000000000002379981636636512144685831624043141066347348880896803460347869454087840010420741356758931941763343665834541697022885967163606691741696) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 1150000000000000064677403715439690903495981657277054543229472540874228546956402944530483639527868442334513668092254287708229349735861637711994339236234360988540607415092295368273641421833203605030126342147419693138971911511867392) (/.f64 0 2) (if (<=.f64 x 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2)))))
(if (<=.f64 x 650) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 819999999999999991961271280285047143594247604927357674201864537469990358299656106244528589161230599033469059399131524689799752631527343653639374201335598496669540170310793859577858869341254707422091049748263631201604232076591104) (/.f64 0 2) (if (<=.f64 x 300000000000000012556665187253589025631128175963520761817751895150935454269037604736820156906078087924663782474529253982812061327615413634607414666960628738272653583690796787290747655114596854094070352342117195926369813523044626391611216960401097246473760381990696952630244044592521603352329453568) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2)))))
(if (<=.f64 x -6198106008766409/147573952589676412928) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (if (<=.f64 x 580) (/.f64 2 2) (if (<=.f64 x 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 249999999999999981127280380618811716294668050071597603343410047731917694218676725250216868646074079448025526803849324428504314495201949473268410963248002115317291743547418889035478194203043299371784807625853355592549187287252992) (/.f64 0 2) (if (<=.f64 x 224999999999999982189406083840160101778354100419285588491117846056906564045799334242178280025669890189683484509284075683665617220205461889995137802987090673745434137309211620320889590564587644061402193560218203275846773307235181108385865597292764680025627775226090042132989940411970923758778056704) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))))))
(if (<=.f64 x -2582544170319337/36893488147419103232) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (if (<=.f64 x 270000000000000) (/.f64 2 2) (if (<=.f64 x 43999999999999998824536794820647253022185449027693673732978807952672448857785712096080887834918013405228439518733569200025810644476255934207168687606640348451991773290313111251975420000141016751632939358953859230976303670755328) (/.f64 0 2) (if (<=.f64 x 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2)))))
(if (<=.f64 x 5/2) (/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/6 x))) 1))) 2) (if (<=.f64 x 4400000000000000276963872098192738345292786118779017289573366007005284348149638939763000355772862999047834172692490762026303728660991921897174287524449324579785285127922374871839317334647446539538075777219589718444624247259136) (/.f64 0 2) (if (<=.f64 x 300000000000000012556665187253589025631128175963520761817751895150935454269037604736820156906078087924663782474529253982812061327615413634607414666960628738272653583690796787290747655114596854094070352342117195926369813523044626391611216960401097246473760381990696952630244044592521603352329453568) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))))
(if (<=.f64 x 165) (/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2) (if (<=.f64 x 1180000000000000025381320614213398818474773047809540450156289534726914699394746593956635297513948344188064315914493510001689766727791218949129745510530142045958866438928744451273124160393318829685427663556890166220173321766436864) (/.f64 0 2) (if (<=.f64 x 295000000000000008111906330883802060268055057011384640674003307406329525884734709431805201767038548008659375734925098558118438051520874777325669702941647900196700638335679023257453015187142018179967979916979956979096669789986371045145300458593158786059023318315995809944676607155380866601162113024) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))))
(if (<=.f64 x 270000000000000) (/.f64 2 2) (if (<=.f64 x 4499999999999999760233628980557707530882832676011201505637837112814821826403518212809814567273869050224123671743468413025754069181021227066200610091956311475139732026239276151787857247095226754333737937067492028820457154150400) (/.f64 0 2) (if (<=.f64 x 189999999999999987380217831385026900830164976492139384314472498919725100896984226187656044257578011782738440460872140782068159321551821003636820651165399313825838253768568565617388645434217121341553014179417122203508882955891778596887846248647939796895391677859092273120275335728546138174565384192) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))))
(if (<=.f64 x 270000000000000) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(if (<=.f64 eps 1770887431076117/295147905179352825856) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 eps 1770887431076117/295147905179352825856) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2))
(if (<=.f64 eps 1770887431076117/295147905179352825856) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2))
(if (<=.f64 x -7054391967346573/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 (neg.f64 eps) x)))) 2) (if (<=.f64 x 39000000000000000206564076363041652878339178400188384269709713498114858495399351160664698124867399292171134412195544010682923869141486291745266204672) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 9800000000000000065414102524419581046471133676752134749525911547009413201330878876986383281263616763031832977457617948819422317801769771843281297793739004461224573321198979621408868099961979931418995051581901239004168192) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 x 290000000000000003667147474514015094904981938059248519530254719661723597500431814126790246627999008092654968995320943133424814775426335920043924738922667062120747692980561259224158375259687182265865607491842718031823526056928115698679383956785220325644286254641294667259109169718240129849994772480) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2)))))
(if (<=.f64 x -7054391967346573/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 eps (neg.f64 x))))) 2) (if (<=.f64 x 39000000000000000206564076363041652878339178400188384269709713498114858495399351160664698124867399292171134412195544010682923869141486291745266204672) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) (if (or (<=.f64 x 9800000000000000065414102524419581046471133676752134749525911547009413201330878876986383281263616763031832977457617948819422317801769771843281297793739004461224573321198979621408868099961979931418995051581901239004168192) (not (<=.f64 x 290000000000000003667147474514015094904981938059248519530254719661723597500431814126790246627999008092654968995320943133424814775426335920043924738922667062120747692980561259224158375259687182265865607491842718031823526056928115698679383956785220325644286254641294667259109169718240129849994772480))) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2))))
(if (<=.f64 x -7054391967346573/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 (+.f64 1 (exp.f64 (-.f64 x (*.f64 eps x)))) 2) (if (<=.f64 x 39000000000000000206564076363041652878339178400188384269709713498114858495399351160664698124867399292171134412195544010682923869141486291745266204672) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) (if (or (<=.f64 x 9800000000000000065414102524419581046471133676752134749525911547009413201330878876986383281263616763031832977457617948819422317801769771843281297793739004461224573321198979621408868099961979931418995051581901239004168192) (not (<=.f64 x 290000000000000003667147474514015094904981938059248519530254719661723597500431814126790246627999008092654968995320943133424814775426335920043924738922667062120747692980561259224158375259687182265865607491842718031823526056928115698679383956785220325644286254641294667259109169718240129849994772480))) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2))))
(if (<=.f64 x -7054391967346573/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 (+.f64 1 (exp.f64 (-.f64 x (*.f64 eps x)))) 2) (if (<=.f64 x 39000000000000000206564076363041652878339178400188384269709713498114858495399351160664698124867399292171134412195544010682923869141486291745266204672) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) (if (or (<=.f64 x 9800000000000000065414102524419581046471133676752134749525911547009413201330878876986383281263616763031832977457617948819422317801769771843281297793739004461224573321198979621408868099961979931418995051581901239004168192) (not (<=.f64 x 290000000000000003667147474514015094904981938059248519530254719661723597500431814126790246627999008092654968995320943133424814775426335920043924738922667062120747692980561259224158375259687182265865607491842718031823526056928115698679383956785220325644286254641294667259109169718240129849994772480))) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 eps 259999999999999977715548557364936490665331531235377134725938289041819075179593889603535812083226803718157279795794191572894275141770077472544175760662694115716880765183675850214049155767143963660094190045849960553748462487209339098212817960960) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (if (<=.f64 eps 20499999999999999997700061146082169265893752896764314312756463310210032947402154335394966350159506503890848857074729080261557024318824162862389711009499503656840504361443782442624632745509164916345333263688536163969723428542641367843368563942421853896704) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (if (<=.f64 eps 259999999999999977715548557364936490665331531235377134725938289041819075179593889603535812083226803718157279795794191572894275141770077472544175760662694115716880765183675850214049155767143963660094190045849960553748462487209339098212817960960) (/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2) (if (<=.f64 eps 20499999999999999997700061146082169265893752896764314312756463310210032947402154335394966350159506503890848857074729080261557024318824162862389711009499503656840504361443782442624632745509164916345333263688536163969723428542641367843368563942421853896704) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 2 x))) (neg.f64 x)) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (if (<=.f64 eps 259999999999999977715548557364936490665331531235377134725938289041819075179593889603535812083226803718157279795794191572894275141770077472544175760662694115716880765183675850214049155767143963660094190045849960553748462487209339098212817960960) (/.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 2) (if (<=.f64 eps 20499999999999999997700061146082169265893752896764314312756463310210032947402154335394966350159506503890848857074729080261557024318824162862389711009499503656840504361443782442624632745509164916345333263688536163969723428542641367843368563942421853896704) (/.f64 (+.f64 2 (/.f64 (-.f64 (*.f64 eps (-.f64 (*.f64 2 x) (*.f64 eps x))) x) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (if (<=.f64 eps 259999999999999977715548557364936490665331531235377134725938289041819075179593889603535812083226803718157279795794191572894275141770077472544175760662694115716880765183675850214049155767143963660094190045849960553748462487209339098212817960960) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2) (if (<=.f64 eps 20499999999999999997700061146082169265893752896764314312756463310210032947402154335394966350159506503890848857074729080261557024318824162862389711009499503656840504361443782442624632745509164916345333263688536163969723428542641367843368563942421853896704) (/.f64 (+.f64 2 (/.f64 (-.f64 (*.f64 eps (-.f64 (*.f64 2 x) (*.f64 eps x))) x) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 1 x)) 2) (if (<=.f64 eps 409999999999999979437316470387121672601342815617927901087563754744061179278210613267262083311914652569963846233031957129594573386224580609607485207495723693484425360793522073937063692943969672396022982376223555821977360557846832948564402896896) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 eps 13500000000000000117602470351247392373840494548653846941159952347027870408416733086128714701134577207046692546066783242860827018708121684194834984055358376700096305826822604600444312852118624010442656452656277782206523329226893579087307428639182197620736) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 2 x)))) eps)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (if (or (<=.f64 eps 409999999999999979437316470387121672601342815617927901087563754744061179278210613267262083311914652569963846233031957129594573386224580609607485207495723693484425360793522073937063692943969672396022982376223555821977360557846832948564402896896) (not (<=.f64 eps 13500000000000000117602470351247392373840494548653846941159952347027870408416733086128714701134577207046692546066783242860827018708121684194834984055358376700096305826822604600444312852118624010442656452656277782206523329226893579087307428639182197620736))) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) (/.f64 (+.f64 2 (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 2 x))) (neg.f64 x)) eps)) 2)))
(if (<=.f64 eps 1) (/.f64 (*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1)) 2) (if (or (<=.f64 eps 409999999999999979437316470387121672601342815617927901087563754744061179278210613267262083311914652569963846233031957129594573386224580609607485207495723693484425360793522073937063692943969672396022982376223555821977360557846832948564402896896) (not (<=.f64 eps 13500000000000000117602470351247392373840494548653846941159952347027870408416733086128714701134577207046692546066783242860827018708121684194834984055358376700096305826822604600444312852118624010442656452656277782206523329226893579087307428639182197620736))) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) (/.f64 (+.f64 2 (/.f64 (-.f64 (*.f64 eps (-.f64 (*.f64 2 x) (*.f64 eps x))) x) eps)) 2)))
(if (<=.f64 x -6200) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 37000000000000002379981636636512144685831624043141066347348880896803460347869454087840010420741356758931941763343665834541697022885967163606691741696) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 1150000000000000064677403715439690903495981657277054543229472540874228546956402944530483639527868442334513668092254287708229349735861637711994339236234360988540607415092295368273641421833203605030126342147419693138971911511867392) (/.f64 0 2) (if (<=.f64 x 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (/.f64 (+.f64 2 (*.f64 eps x)) 2) (/.f64 0 2)))))
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(if (<=.f64 x 270000000000000) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 494 to 371 computations (24.9% saved)

soundness1.6s (8.2%)

Rules
1576×div-sub
1300×times-frac
1264×associate-*r*
1212×fma-neg
1170×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108137291
1318833063
031254
1529220
27899220
065016491
1164714734
2524014603
069777
1211693
2630658
32123658
45703658
077421410
1212519378
062216843
1169915932
2607015806
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1442 to 1112 computations (22.9% saved)

end1.0ms (0%)

preprocess336.0ms (1.7%)

Compiler

Compiled 1174 to 842 computations (28.3% saved)

Profiling

Loading profile data...