Logistic regression 2

Time bar (total: 11.2s)

analyze95.0ms (0.9%)

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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%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
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
Operation ival-log, time spent: 12.0ms, 27.0% of total-time
Operation ival-mult, time spent: 11.0ms, 25.0% of total-time
Operation ival-exp, time spent: 8.0ms, 18.0% of total-time
Operation ival-add, time spent: 6.0ms, 14.0% of total-time
Operation ival-sub, time spent: 5.0ms, 11.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

sample4.6s (41.5%)

Results
1.1s7135×256valid
2.7s2698×8192exit
93.0ms680×256infinite
67.0ms234×512valid
98.0ms206×1024valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
Operation ival-log, time spent: 1.6s, 54.0% of total-time
Operation ival-exp, time spent: 524.0ms, 17.0% of total-time
Operation ival-mult, time spent: 347.0ms, 12.0% of total-time
Operation ival-sub, time spent: 291.0ms, 10.0% of total-time
Operation ival-add, time spent: 183.0ms, 6.0% of total-time
Operation const, time spent: 41.0ms, 1.0% of total-time
Bogosity

preprocess470.0ms (4.2%)

Algorithm
egg-herbie
Rules
376×fma-define
294×fma-neg
88×cancel-sign-sub-inv
72×sub-neg
68×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f64 (+.f64 1 (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 1 (exp.f64 x))
00-0-(exp.f64 x)
00-0-(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
00-0-y
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Results
58.0ms331×256valid
221.0ms140×2048valid
66.0ms40×2048infinite
0.0ms256valid
Compiler

Compiled 69 to 38 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
Operation ival-log, time spent: 219.0ms, 81.0% of total-time
Operation ival-add, time spent: 19.0ms, 7.0% of total-time
Operation ival-exp, time spent: 11.0ms, 4.0% of total-time
Operation ival-mult, time spent: 10.0ms, 4.0% of total-time
Operation ival-sub, time spent: 8.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize120.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(log1p.f64 (exp.f64 x))
Results
20.0ms165×256valid
65.0ms70×2048valid
19.0ms20×2048infinite
0.0ms256valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
Operation composed, time spent: 64.0ms, 46.0% of total-time
Operation ival-log, time spent: 58.0ms, 42.0% of total-time
Operation ival-mult, time spent: 5.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 3.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time
Operation ival-add, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series54.0ms (0.5%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (log1p.f64 (exp.f64 x))>
Outputs
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(log (+ 1 (exp x)))
20.0ms
x
@-inf
(log (+ 1 (exp x)))
1.0ms
x
@0
(log (+ 1 (exp x)))

rewrite277.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
994×log1p-expm1-u
532×associate-*r*
434×associate-*l*
366×unpow-prod-down
240×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
16112
260212
3658712
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

simplify60.0ms (0.5%)

Algorithm
egg-herbie
Rules
754×distribute-lft-out
744×fma-define
676×associate-+l-
608×associate-+r-
604×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611544
13021504
27701491
331681430
Stop Event
node limit
Counts
61 → 79
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) (log.f64 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 5))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) 3))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(log1p.f64 (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval19.0ms (0.2%)

Compiler

Compiled 1274 to 546 computations (57.1% saved)

prune15.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76379
Fresh000
Picked011
Done000
Total76480
Accuracy
99.7%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
79.4%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.5%
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 45 to 33 computations (26.7% saved)

localize375.0ms (3.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
98.4%
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Results
318.0ms235×256valid
12.0ms20×256infinite
0.0ms256valid
Compiler

Compiled 94 to 60 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
Operation ival-sub, time spent: 205.0ms, 72.0% of total-time
Operation ival-log, time spent: 37.0ms, 13.0% of total-time
Operation ival-mult, time spent: 28.0ms, 10.0% of total-time
Operation ival-add, time spent: 11.0ms, 4.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time

series29.0ms (0.3%)

Counts
5 → 81
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))>
Outputs
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 -1 y)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y)) x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)) (*.f64 -1 x))))>
#<alt (log.f64 2)>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))) (/.f64 y x)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 1/2 (/.f64 1 x)))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y))) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y))) x))))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)) x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)) (*.f64 -1 x))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
Calls

21 calls:

TimeVariablePointExpression
11.0ms
y
@0
(- (+ (log 2) (* 1/2 x)) (* x y))
5.0ms
y
@inf
(- (+ (log 2) (* 1/2 x)) (* x y))
3.0ms
x
@0
(- (+ (log 2) (* 1/2 x)) (* x y))
1.0ms
x
@inf
(- (+ (log 2) (* 1/2 x)) (* x y))
1.0ms
x
@-inf
(- (+ (log 2) (* x (+ 1/2 (* x 1/8)))) (* x y))

rewrite173.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1178×log1p-expm1-u
652×expm1-log1p-u
278×associate-*r*
234×prod-diff
150×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021171
1312133
25147133
Stop Event
node limit
Counts
5 → 199
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
Outputs
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (-.f64 1/2 y)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(*.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 1 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)))) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1))
(+.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (+.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(+.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(*.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1)
(*.f64 1 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (*.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))

simplify232.0ms (2.1%)

Algorithm
egg-herbie
Rules
1830×times-frac
1720×fma-neg
734×fma-define
538×sub-neg
536×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052312605
1136811971
2511911963
Stop Event
node limit
Counts
280 → 321
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
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(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (*.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y)))
(*.f64 x (+.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y)))
(*.f64 x (+.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y)))
(*.f64 x (+.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 2) x)) (-.f64 1/2 y)))
(*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 2) x) -1 -1/2) y) (neg.f64 x))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 2) x)) (-.f64 1/2 y)))
(*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 2) x) -1 -1/2) y) (neg.f64 x))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (*.f64 -1 y)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 2) x)) (-.f64 1/2 y)))
(*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 2) x) -1 -1/2) y) (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (fma.f64 1/2 (/.f64 x y) (-.f64 (/.f64 (log.f64 2) y) x)))
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(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (+.f64 1/2 (*.f64 x -1/8))))
(*.f64 x (/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/64)) (fma.f64 x -1/8 1/2)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (*.f64 x 1/16)))))
(/.f64 (fma.f64 x 1/8 (*.f64 1/512 (pow.f64 x 4))) (+.f64 1/4 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 x -1/16))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 1/8) (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (fma.f64 x 1/16 -1/4)))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (+.f64 1/2 (*.f64 x -1/8))))
(*.f64 x (/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/64)) (fma.f64 x -1/8 1/2)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(*.f64 x (fma.f64 x 1/8 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 x (fma.f64 x 1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(*.f64 x (fma.f64 x 1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(*.f64 x (fma.f64 x 1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(*.f64 x (fma.f64 x 1/8 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 1 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))

eval251.0ms (2.2%)

Compiler

Compiled 6591 to 4670 computations (29.1% saved)

prune51.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3156321
Fresh000
Picked213
Done011
Total3178325
Accuracy
99.7%
Counts
325 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.5%
(-.f64 (log.f64 2) (*.f64 x y))
48.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
45.3%
(+.f64 (log.f64 2) (*.f64 1/2 x))
56.4%
(*.f64 y (neg.f64 x))
37.0%
(*.f64 x (-.f64 1/2 y))
44.9%
(log.f64 2)
61.1%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
Compiler

Compiled 115 to 92 computations (20% saved)

localize275.0ms (2.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(*.f64 x (-.f64 1/2 y))
98.8%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
95.1%
(log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
Results
172.0ms149×256valid
42.0ms93×256invalid
11.0ms13×256infinite
0.0ms256invalid
Compiler

Compiled 80 to 55 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
Operation ival-add, time spent: 89.0ms, 46.0% of total-time
Operation ival-log, time spent: 44.0ms, 23.0% of total-time
Operation ival-mult, time spent: 23.0ms, 12.0% of total-time
Operation composed, time spent: 18.0ms, 9.0% of total-time
Operation ival-sub, time spent: 12.0ms, 6.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time
Operation ival-exp, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series16.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))>
#<alt (expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 x (-.f64 1/2 y))>
Outputs
#<alt (log.f64 (+.f64 1 (log.f64 2)))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2))))) (/.f64 y (+.f64 1 (log.f64 2))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 x (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/3 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))) (/.f64 y (+.f64 1 (log.f64 2))))))>
#<alt (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))>
#<alt (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))>
#<alt (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (log.f64 2)) (-.f64 1/2 y))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 x (pow.f64 (-.f64 1/2 y) 2))))) x))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (log.f64 2)) (-.f64 1/2 y))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 x (pow.f64 (-.f64 1/2 y) 3))))) x))) x))))>
#<alt (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))>
#<alt (+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 -1 (/.f64 (*.f64 x y) (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 y (+.f64 (*.f64 -1 (/.f64 x (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) y) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 y (+.f64 (*.f64 -1 (/.f64 x (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))) (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 x 3) y) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3))))))))>
#<alt (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))>
#<alt (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y)))))>
#<alt (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))>
#<alt (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))>
#<alt (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x))) y))))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) y))) (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x)))) y))))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3) (*.f64 (pow.f64 x 3) y)))) y)) (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x)))) y))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))>
#<alt (*.f64 1/2 x)>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 1/2 x)>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(log (+ 1 (+ (log 2) (* x (- 1/2 y)))))
1.0ms
y
@-inf
(log (+ 1 (+ (log 2) (* x (- 1/2 y)))))
1.0ms
y
@inf
(log (+ 1 (+ (log 2) (* x (- 1/2 y)))))
1.0ms
x
@0
(log (+ 1 (+ (log 2) (* x (- 1/2 y)))))
1.0ms
y
@0
(log (+ 1 (+ (log 2) (* x (- 1/2 y)))))

rewrite109.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1786×prod-diff
862×log1p-expm1-u
861×expm1-log1p-u
538×fma-define
296×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016100
117392
2229892
Stop Event
node limit
Counts
4 → 116
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)
(*.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(log.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1)
(-.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1) (+.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1))) (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))

simplify116.0ms (1%)

Algorithm
egg-herbie
Rules
1216×associate-/r*
1048×associate-+r+
1036×associate-+l+
604×associate-*r/
452×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04108148
110357826
234467662
Stop Event
node limit
Counts
188 → 223
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2))))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 x (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/3 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (log.f64 2)) (-.f64 1/2 y))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 x (pow.f64 (-.f64 1/2 y) 2))))) x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (log.f64 2)) (-.f64 1/2 y))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (*.f64 x (pow.f64 (-.f64 1/2 y) 3))))) x))) x))))
(log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 -1 (/.f64 (*.f64 x y) (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 y (+.f64 (*.f64 -1 (/.f64 x (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) y) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 y (+.f64 (*.f64 -1 (/.f64 x (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))))) (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 x 3) y) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3))))))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y)))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 x y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x))) y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (*.f64 (pow.f64 x 2) y))) (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x)))) y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3) (*.f64 (pow.f64 x 3) y)))) y)) (+.f64 (/.f64 1 x) (/.f64 (log.f64 2) x)))) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)
(*.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(log.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1)
(-.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1) (+.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1))) (cbrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
Outputs
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 x (-.f64 (/.f64 1/2 (+.f64 1 (log.f64 2))) (/.f64 y (+.f64 1 (log.f64 2))))))
(fma.f64 x (-.f64 (/.f64 1/2 (+.f64 1 (log.f64 2))) (/.f64 y (+.f64 1 (log.f64 2)))) (log1p.f64 (log.f64 2)))
(fma.f64 x (/.f64 (-.f64 1/2 y) (+.f64 1 (log.f64 2))) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2))))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 -1/2 (*.f64 x (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1/2 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))))
(fma.f64 x (-.f64 (fma.f64 -1/2 (*.f64 x (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1/2 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) (log1p.f64 (log.f64 2)))
(fma.f64 x (fma.f64 -1/2 (*.f64 x (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 (-.f64 1/2 y) (+.f64 1 (log.f64 2)))) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 x (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/3 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))) (/.f64 y (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 x (+.f64 (/.f64 1/2 (+.f64 1 (log.f64 2))) (-.f64 (*.f64 x (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 1/3 (/.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (/.f64 y (+.f64 1 (log.f64 2)))))))
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eval451.0ms (4%)

Compiler

Compiled 5400 to 4262 computations (21.1% saved)

prune44.0ms (0.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New2505255
Fresh011
Picked145
Done022
Total25112263
Accuracy
99.7%
Counts
263 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.5%
(-.f64 (log.f64 2) (*.f64 x y))
48.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
45.3%
(+.f64 (log.f64 2) (*.f64 1/2 x))
36.9%
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
36.9%
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
56.4%
(*.f64 y (neg.f64 x))
37.0%
(*.f64 x (-.f64 1/2 y))
3.5%
(*.f64 x 1/2)
44.9%
(log.f64 2)
4.7%
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
44.1%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
Compiler

Compiled 198 to 152 computations (23.2% saved)

localize270.0ms (2.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (log.f64 2) (*.f64 x 1/2))
100.0%
(log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)))
99.9%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
100.0%
(*.f64 1/2 (/.f64 x y))
99.9%
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
99.9%
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
99.8%
(*.f64 x (/.f64 1/2 y))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
100.0%
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
Results
122.0ms165×256valid
64.0ms90×256invalid
1.0ms256valid
Compiler

Compiled 130 to 87 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
Operation ival-mult, time spent: 51.0ms, 34.0% of total-time
Operation ival-log, time spent: 39.0ms, 26.0% of total-time
Operation composed, time spent: 21.0ms, 14.0% of total-time
Operation ival-add, time spent: 15.0ms, 10.0% of total-time
Operation ival-div, time spent: 10.0ms, 7.0% of total-time
Operation ival-sub, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time
Operation ival-exp, time spent: 3.0ms, 2.0% of total-time

series56.0ms (0.5%)

Counts
9 → 124
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))>
#<alt (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (*.f64 x (/.f64 1/2 y))>
#<alt (*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))>
#<alt (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)))>
#<alt (+.f64 (log.f64 2) (*.f64 x 1/2))>
Outputs
#<alt (*.f64 1/2 x)>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (*.f64 1/2 x)>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 1/2 x)>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (log.f64 (+.f64 1 (log.f64 2)))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))))))>
#<alt (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x))))>
#<alt (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))>
#<alt (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)) (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 x 3)))))))>
#<alt (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 1 (log.f64 2))) (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) x))) x))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 1 (log.f64 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) x))) x))) x))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* y (- (* x (/ 1/2 y)) x))
1.0ms
x
@0
(* x (/ 1/2 y))
1.0ms
x
@inf
(log (+ 1 (+ (log 2) (* x 1/2))))
1.0ms
x
@-inf
(log (+ 1 (+ (log 2) (* x 1/2))))
1.0ms
x
@0
(log (+ 1 (+ (log 2) (* x 1/2))))

rewrite197.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
903×log1p-expm1-u
402×associate-*r*
262×associate-*l*
194×expm1-log1p-u
190×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030236
1483204
26865204
Stop Event
node limit
Counts
9 → 296
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(*.f64 x (/.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 x 1/2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (fma.f64 x 1/8 1/2))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (fma.f64 x 1/8 1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2) (/.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
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(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))) 1)
(*.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(log.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))
(-.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (fma.f64 x 1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))

simplify182.0ms (1.6%)

Algorithm
egg-herbie
Rules
1084×cancel-sign-sub-inv
896×fma-neg
860×distribute-lft-neg-in
840×distribute-rgt-neg-in
660×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055514104
1135713325
2464412082
Stop Event
node limit
Counts
420 → 336
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 x (*.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(*.f64 -1 (*.f64 x (*.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 1/2 x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 1/24 (/.f64 x (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)) (*.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 x 3)))))))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 1/2 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x (/.f64 1/2 y) x))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x (/.f64 1/2 y) x))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x (/.f64 1/2 y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x (/.f64 1/2 y) x))) 1))
(fma.f64 x y (*.f64 x (*.f64 (/.f64 1/2 y) y)))
(fma.f64 y x (*.f64 x (*.f64 (/.f64 1/2 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 x (*.f64 y 2))
(/.f64 1/2 (/.f64 y x))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (*.f64 x 1/2) (neg.f64 y))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 y))) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 -1/2 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2))))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 -1/2 x (*.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 x 1/2 (*.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 (neg.f64 (*.f64 x 1/2)) 1 (*.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x 1/2)))
(+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(-.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (fma.f64 x 1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))) 1)
(*.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(log.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))
(-.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (fma.f64 x 1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
Outputs
(*.f64 1/2 x)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 (+.f64 1/8 (/.f64 1/2 x)) (/.f64 (log.f64 2) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 1/2 x) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 (+.f64 1/8 (/.f64 1/2 x)) (/.f64 (log.f64 2) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 1/2 x) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) -1/2) x))))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) -1/2) x)))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 -1/2 (/.f64 (log.f64 2) x)) x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) -1/2) x))))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) -1/2) x)))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 -1/2 (/.f64 (log.f64 2) x)) x)))
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(fma.f64 1/2 x (log.f64 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (fma.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 x (*.f64 1/2 (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (*.f64 1/2 (log.f64 2)) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (log.f64 2) x)) (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (neg.f64 (log.f64 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (neg.f64 (log.f64 2))))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (/.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 x -1/2))
(fma.f64 x -1/2 (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 x -1/2))
(fma.f64 x -1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (*.f64 x -1/2))
(fma.f64 x -1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))

eval179.0ms (1.6%)

Compiler

Compiled 5568 to 4436 computations (20.3% saved)

prune63.0ms (0.6%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New3297336
Fresh101
Picked235
Done066
Total33216348
Accuracy
99.7%
Counts
348 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.7%
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.5%
(-.f64 (log.f64 2) (*.f64 x y))
48.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
45.3%
(+.f64 (log.f64 2) (*.f64 1/2 x))
45.1%
(+.f64 x (fma.f64 1/2 x (log.f64 2)))
36.5%
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
36.9%
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
36.9%
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
36.5%
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
56.4%
(*.f64 y (neg.f64 x))
37.0%
(*.f64 x (-.f64 1/2 y))
45.3%
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
2.8%
(*.f64 x (+.f64 1/2 y))
3.5%
(*.f64 x 1/2)
44.9%
(log.f64 2)
Compiler

Compiled 391 to 258 computations (34% saved)

regimes37.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
(+.f64 x (fma.f64 1/2 x (log.f64 2)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

14.0ms
x
12.0ms
y
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes30.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
(+.f64 x (fma.f64 1/2 x (log.f64 2)))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y))
Calls

2 calls:

18.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
99.2%2x
90.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes80.0ms (0.7%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Calls

1 calls:

78.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes177.0ms (1.6%)

Counts
12 → 5
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
Calls

2 calls:

149.0ms
x
27.0ms
y
Results
AccuracySegmentsBranch
68.4%3y
84.5%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts
11 → 5
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

32.0ms
x
Results
AccuracySegmentsBranch
84.5%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (-.f64 (/.f64 1/2 (/.f64 y x)) x))
(*.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 (/.f64 1/2 y) y)) (*.f64 x (*.f64 (/.f64 1/2 y) y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 1/2 y) y))))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

7.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
56.4%1y
56.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
3.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
-18914727826.727966
-4690969.453821952
Results
10.0ms70×256valid
20.0ms35×1024valid
6.0ms19×512valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 208 to 156 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-log, time spent: 13.0ms, 53.0% of total-time
Operation ival-exp, time spent: 6.0ms, 24.0% of total-time
Operation ival-mult, time spent: 2.0ms, 8.0% of total-time
Operation ival-sub, time spent: 1.0ms, 4.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-18914727826.727966
-4690969.453821952
Results
10.0ms71×256valid
27.0ms33×1024valid
5.0ms17×512valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 176 to 132 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-log, time spent: 17.0ms, 54.0% of total-time
Operation ival-exp, time spent: 9.0ms, 28.0% of total-time
Operation ival-mult, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 1.0ms, 3.0% of total-time
Operation ival-add, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch98.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
98.0ms
-18914727826.727966
-4690969.453821952
Results
16.0ms69×256valid
20.0ms39×1024valid
5.0ms18×512valid
0.0ms1024valid
0.0ms256infinite
Compiler

Compiled 144 to 108 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-log, time spent: 14.0ms, 58.0% of total-time
Operation ival-exp, time spent: 4.0ms, 17.0% of total-time
Operation ival-mult, time spent: 2.0ms, 8.0% of total-time
Operation ival-sub, time spent: 1.0ms, 4.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch158.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
6.208312691772258e-66
5.286288575126367e-56
25.0ms
-1.1047118085091322e-92
-1.0962535167695198e-96
67.0ms
-5.522136947748751e-67
-1.1238259252005948e-72
26.0ms
-0.014157368522907979
-1.3551453566305113e-8
Results
70.0ms575×256valid
0.0ms256valid
Compiler

Compiled 687 to 541 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
Operation ival-exp, time spent: 10.0ms, 30.0% of total-time
Operation ival-log, time spent: 10.0ms, 30.0% of total-time
Operation ival-mult, time spent: 5.0ms, 15.0% of total-time
Operation ival-add, time spent: 4.0ms, 12.0% of total-time
Operation ival-sub, time spent: 3.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch151.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
6.208312691772258e-66
5.286288575126367e-56
21.0ms
-1.1047118085091322e-92
-1.0962535167695198e-96
26.0ms
-5.522136947748751e-67
-1.1238259252005948e-72
77.0ms
-1.7342459141138683e-21
-1.9824163314379627e-26
Results
122.0ms575×256valid
0.0ms256valid
Compiler

Compiled 543 to 433 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-log, time spent: 12.0ms, 33.0% of total-time
Operation ival-exp, time spent: 8.0ms, 22.0% of total-time
Operation ival-mult, time spent: 7.0ms, 19.0% of total-time
Operation ival-add, time spent: 4.0ms, 11.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×+-commutative
22×*-commutative
18×sub-neg
16×cancel-sign-sub-inv
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067550
198550
2116550
3121550
4123550
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y)))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8264141345021879/73786976294838206464) (*.f64 y (neg.f64 x)) (if (<=.f64 x -3978585891278293/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (+.f64 (log.f64 2) (*.f64 1/2 x)) (if (<=.f64 x -3053105357605983/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x)) (if (<=.f64 x 5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -1973637728141443/340282366920938463463374607431768211456) (*.f64 y (neg.f64 x)) (if (<=.f64 x -493255773416689/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (log.f64 2) (if (<=.f64 x -3983128220384421/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x)) (if (<=.f64 x 7526485800425553/231584178474632390847141970017375815706539969331281128078915168015826259279872) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))) (*.f64 x y)))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -4800000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8264141345021879/73786976294838206464) (*.f64 y (neg.f64 x)) (if (<=.f64 x -3978585891278293/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (+.f64 (log.f64 2) (*.f64 1/2 x)) (if (<=.f64 x -3053105357605983/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x)) (if (<=.f64 x 5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -8264141345021879/73786976294838206464) (*.f64 y (neg.f64 x)) (if (<=.f64 x -3978585891278293/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (+.f64 (log.f64 2) (*.f64 x 1/2)) (if (<=.f64 x -3053105357605983/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x)) (if (<=.f64 x 5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -1973637728141443/340282366920938463463374607431768211456) (*.f64 y (neg.f64 x)) (if (<=.f64 x -493255773416689/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (log.f64 2) (if (<=.f64 x -3983128220384421/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (*.f64 y (-.f64 (*.f64 x (/.f64 -1/2 y)) x)) (if (<=.f64 x 7526485800425553/231584178474632390847141970017375815706539969331281128078915168015826259279872) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Compiler

Compiled 168 to 118 computations (29.8% saved)

soundness1.3s (11.3%)

Rules
1830×times-frac
1720×fma-neg
1216×associate-/r*
1084×cancel-sign-sub-inv
1048×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055514104
1135713325
2464412082
030236
1483204
26865204
052312605
1136811971
2511911963
04108148
110357826
234467662
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
01611544
13021504
27701491
331681430
Stop Event
node limit
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 382 to 221 computations (42.1% saved)

end0.0ms (0%)

preprocess187.0ms (1.7%)

Compiler

Compiled 386 to 238 computations (38.3% saved)

Profiling

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