Logistic regression 2

Time bar (total: 9.3s)

analyze108.0ms (1.2%)

Algorithm
1×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: 53.0ms
Operation ival-log, time spent: 21.0ms, 40.0% of total-time
Operation ival-exp, time spent: 11.0ms, 21.0% of total-time
Operation ival-mult, time spent: 8.0ms, 15.0% of total-time
Operation ival-add, time spent: 6.0ms, 11.0% of total-time
Operation ival-sub, time spent: 5.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

sample4.0s (43.4%)

Results
1.2s7219×256valid
2.4s2679×8192exit
101.0ms626×256infinite
75.0ms240×512valid
85.0ms170×1024valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
Operation ival-log, time spent: 1.6s, 63.0% of total-time
Operation ival-exp, time spent: 251.0ms, 10.0% of total-time
Operation ival-add, time spent: 242.0ms, 10.0% of total-time
Operation ival-mult, time spent: 228.0ms, 9.0% of total-time
Operation ival-sub, time spent: 158.0ms, 6.0% of total-time
Operation const, time spent: 51.0ms, 2.0% of total-time
Bogosity

preprocess497.0ms (5.4%)

Algorithm
1×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
1×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)))
Compiler

Compiled 69 to 38 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 312.0ms
Operation ival-log, time spent: 243.0ms, 78.0% of total-time
Operation ival-exp, time spent: 27.0ms, 9.0% of total-time
Operation ival-add, time spent: 22.0ms, 7.0% of total-time
Operation ival-mult, time spent: 10.0ms, 3.0% of total-time
Operation ival-sub, time spent: 6.0ms, 2.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

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

Compiled 18 to 12 computations (33.3% saved)

localize153.0ms (1.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.6%
(log1p.f64 (exp.f64 x))
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
Operation composed, time spent: 78.0ms, 46.0% of total-time
Operation ival-log, time spent: 63.0ms, 37.0% of total-time
Operation ival-mult, time spent: 11.0ms, 6.0% of total-time
Operation ival-add, time spent: 7.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 2.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series66.0ms (0.7%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (log1p.f64 (exp.f64 x))>
#<alt (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<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)))>
#<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 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 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 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

12 calls:

TimeVariablePointExpression
33.0ms
x
@inf
(log (+ 1 (exp x)))
25.0ms
x
@-inf
(log (+ 1 (exp x)))
4.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))

rewrite240.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1318×prod-diff
1182×unpow-prod-down
674×log-prod
638×log1p-expm1-u
638×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
113654
2176754
Stop Event
1×node limit
Counts
3 → 235
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (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 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 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 (exp.f64 1)))
(*.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (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 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 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 (exp.f64 1)))
(*.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

simplify146.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1126×fma-neg
822×distribute-lft-in
682×distribute-rgt-in
506×unswap-sqr
482×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05199958
111609722
230999581
Stop Event
1×node limit
Counts
283 → 248
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)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))
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(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (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 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 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 (exp.f64 1)))
(*.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 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))
(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 (+.f64 1/2 (*.f64 1/8 x)) y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (-.f64 (*.f64 x 1/8) y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (-.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(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 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (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 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 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 (exp.f64 1)))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.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))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (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 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
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(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (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 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 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 (exp.f64 1)))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.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))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (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 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 7) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(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)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 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))

eval91.0ms (1%)

Compiler

Compiled 5961 to 1930 computations (67.6% saved)

prune51.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3065311
Fresh000
Picked112
Done000
Total3076313
Accuracy
100.0%
Counts
313 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶91.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶78.2%
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
▶84.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶48.8%
(*.f64 (neg.f64 x) y)
Compiler

Compiled 101 to 76 computations (24.8% saved)

localize205.0ms (2.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
✓100.0%
(*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(-.f64 (log.f64 2) (*.f64 x y))
✓100.0%
(fma.f64 x (neg.f64 y) (log.f64 2))
Compiler

Compiled 103 to 65 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
Operation ival-log, time spent: 50.0ms, 45.0% of total-time
Operation ival-mult, time spent: 27.0ms, 24.0% of total-time
Operation ival-sub, time spent: 12.0ms, 11.0% of total-time
Operation ival-add, time spent: 10.0ms, 9.0% of total-time
Operation composed, time spent: 5.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time
Operation ival-neg, time spent: 3.0ms, 3.0% of total-time

series24.0ms (0.3%)

Counts
7 → 145
Calls
Call 1
Inputs
#<alt (fma.f64 x (neg.f64 y) (log.f64 2))>
#<alt (-.f64 (log.f64 2) (*.f64 x y))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (*.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 (+.f64 1/2 (*.f64 1/8 x)) y)>
Outputs
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))>
#<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 (log.f64 2)>
#<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 x (-.f64 1/2 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 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<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 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))>
#<alt (+.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 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x))) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x))) 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 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (-.f64 1/2 y)>
#<alt (*.f64 1/8 x)>
#<alt (*.f64 x (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 x (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 x (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 1/8 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (+.f64 1/2 (*.f64 1/8 x))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (*.f64 1/8 x)))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (*.f64 1/8 x)))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (*.f64 1/8 x)))>
#<alt (*.f64 -1 y)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (*.f64 -1 y)>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))))>
Calls

42 calls:

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

rewrite184.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1242×log1p-expm1-u
322×associate-*r*
183×expm1-log1p-u
181×add-cube-cbrt
179×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025197
1377169
26085169
Stop Event
1×node limit
Counts
7 → 235
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
(-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)
Outputs
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 x y (log1p.f64 1))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 1))))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(fma.f64 x y (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2)))))
(*.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 (log1p.f64 1) x) (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))) 1))
(fma.f64 x (+.f64 y 1/2) (log1p.f64 1))
(fma.f64 (+.f64 y 1/2) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (*.f64 x (fma.f64 x 1/8 y)))
(+.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (fma.f64 x 1/8 y) x))
(+.f64 (*.f64 (fma.f64 x 1/8 1/2) x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3))) (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))))
(/.f64 (*.f64 x (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)) (+.f64 y (fma.f64 x 1/8 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) x) (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))))
(/.f64 (*.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) x) (+.f64 y (fma.f64 x 1/8 1/2)))
(pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (fma.f64 x 1/8 1/2))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))) (/.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))))
(*.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 (log1p.f64 1) x) (+.f64 y (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1)))
(pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (+.f64 y (fma.f64 x 1/8 1/2)) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 1 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) 2) (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (log1p.f64 1))
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 1/2 (fma.f64 x 1/8 y))
(+.f64 1/2 (*.f64 (fma.f64 x 1/8 y) 1))
(+.f64 (*.f64 x 1/8) (+.f64 y 1/2))
(+.f64 (fma.f64 x 1/8 1/2) y)
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 y 1 y))
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (fma.f64 x 1/8 y) 1/2)
(*.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 1)
(*.f64 1 (+.f64 y (fma.f64 x 1/8 1/2)))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(*.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (/.f64 1 (+.f64 y (fma.f64 x 1/8 1/2))))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(/.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (+.f64 y (fma.f64 x 1/8 1/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 2) (-.f64 (pow.f64 y 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)) (neg.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/8 y) 3)) (+.f64 1/4 (-.f64 (*.f64 (fma.f64 x 1/8 y) (fma.f64 x 1/8 y)) (*.f64 1/2 (fma.f64 x 1/8 y)))))
(/.f64 (-.f64 1/4 (*.f64 (fma.f64 x 1/8 y) (fma.f64 x 1/8 y))) (-.f64 1/2 (fma.f64 x 1/8 y)))
(pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 1))
(fma.f64 1 (fma.f64 x 1/8 1/2) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2) (cbrt.f64 (fma.f64 x 1/8 1/2)) y)
(fma.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 (fma.f64 x 1/8 1/2)) y)

simplify219.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1074×cancel-sign-sub-inv
908×distribute-lft-neg-in
840×distribute-rgt-neg-in
814×fma-neg
558×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055614535
1136113976
2463413915
Stop Event
1×node limit
Counts
380 → 343
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x y))
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(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 1))
(fma.f64 1 (fma.f64 x 1/8 1/2) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2) (cbrt.f64 (fma.f64 x 1/8 1/2)) y)
(fma.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 (fma.f64 x 1/8 1/2)) y)
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (log.f64 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (*.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (log.f64 2) y)) (*.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(*.f64 y (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 x y))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))
(*.f64 y (fma.f64 -1 x (*.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(*.f64 y (fma.f64 x (/.f64 1/2 y) (neg.f64 x)))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.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 y))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.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 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.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 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(*.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 (log.f64 2) (*.f64 1/2 x))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 y (fma.f64 -1 x (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y))))
(*.f64 y (-.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 y (fma.f64 -1 x (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y))))
(*.f64 y (-.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))
(*.f64 y (fma.f64 -1 x (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y))))
(*.f64 y (-.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (log.f64 2) y)) x))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (+.f64 (*.f64 x 1/2) (log.f64 2)) y))))
(*.f64 y (neg.f64 (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y))))
(*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y)))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (+.f64 (*.f64 x 1/2) (log.f64 2)) y))))
(*.f64 y (neg.f64 (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y))))
(*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y)))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (+.f64 (*.f64 x 1/2) (log.f64 2)) y))))
(*.f64 y (neg.f64 (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y))))
(*.f64 (neg.f64 y) (-.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 2)) y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(fma.f64 -1 (*.f64 x y) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(fma.f64 -1 (*.f64 x y) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(fma.f64 -1 (*.f64 x y) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (fma.f64 x 1/8 1/2) y))))
(*.f64 y (*.f64 x (+.f64 -1 (/.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))) (/.f64 y x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (-.f64 1/2 y) x)))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3)) (fma.f64 x (*.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 3)) (fma.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 1)
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 3)
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 3) 1/3)
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 2)
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 2))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1)) 3))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))) 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (+.f64 y (fma.f64 x 1/8 1/2)) x (log1p.f64 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 1 (log1p.f64 1) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) 2) (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (log1p.f64 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2))))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 x 1/8 1/2)))) (log1p.f64 1))
(fma.f64 x (+.f64 y (fma.f64 x 1/8 1/2)) (log.f64 2))
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 1/2 (fma.f64 x 1/8 y))
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 1/2 (*.f64 (fma.f64 x 1/8 y) 1))
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 x 1/8) (+.f64 y 1/2))
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 (fma.f64 x 1/8 1/2) y)
(+.f64 y (fma.f64 x 1/8 1/2))
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 y 1 y))
(+.f64 (fma.f64 x 1/8 1/2) (+.f64 y (+.f64 y y)))
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 y (+.f64 (fma.f64 x 1/8 1/2) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 y (+.f64 (fma.f64 x 1/8 1/2) (-.f64 y y)))
(+.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 y (+.f64 (fma.f64 x 1/8 1/2) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 y (+.f64 (fma.f64 x 1/8 1/2) (-.f64 y y)))
(+.f64 (fma.f64 x 1/8 y) 1/2)
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 1)
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 1 (+.f64 y (fma.f64 x 1/8 1/2)))
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2))
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (/.f64 1 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (fma.f64 y (fma.f64 x 1/8 1/2) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 x 1/8 1/2))) (-.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3))))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (fma.f64 y (fma.f64 x 1/8 1/2) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(/.f64 1 (/.f64 (+.f64 y (fma.f64 x 1/8 1/2)) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(+.f64 y (fma.f64 x 1/8 1/2))
(/.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (+.f64 y (fma.f64 x 1/8 1/2)))
(+.f64 y (fma.f64 x 1/8 1/2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2))))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (fma.f64 y (fma.f64 x 1/8 1/2) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 2) (-.f64 (pow.f64 y 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 2) (-.f64 (pow.f64 y 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 2) (*.f64 y (-.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 1/8 1/2) 3)) (fma.f64 y (fma.f64 x 1/8 1/2) (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2)) (neg.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/8 y) 3)) (+.f64 1/4 (-.f64 (*.f64 (fma.f64 x 1/8 y) (fma.f64 x 1/8 y)) (*.f64 1/2 (fma.f64 x 1/8 y)))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/8 y) 3)) (+.f64 1/4 (*.f64 (fma.f64 x 1/8 y) (-.f64 (fma.f64 x 1/8 y) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/8 y) 3)) (fma.f64 (fma.f64 x 1/8 y) (+.f64 (fma.f64 x 1/8 y) -1/2) 1/4))
(/.f64 (-.f64 1/4 (*.f64 (fma.f64 x 1/8 y) (fma.f64 x 1/8 y))) (-.f64 1/2 (fma.f64 x 1/8 y)))
(pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 1)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 3)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3) 1/3)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 2)
(+.f64 y (fma.f64 x 1/8 1/2))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 2))
(+.f64 y (fma.f64 x 1/8 1/2))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2)))))
(+.f64 y (fma.f64 x 1/8 1/2))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x 1/8 1/2)) 3))
(+.f64 y (fma.f64 x 1/8 1/2))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))))
(+.f64 y (fma.f64 x 1/8 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x 1/8 1/2))) 1))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 1 (fma.f64 x 1/8 1/2) y)
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2) (cbrt.f64 (fma.f64 x 1/8 1/2)) y)
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (sqrt.f64 (fma.f64 x 1/8 1/2)) y)
(+.f64 y (fma.f64 x 1/8 1/2))

eval138.0ms (1.5%)

Compiler

Compiled 5619 to 4162 computations (25.9% saved)

prune111.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3394343
Fresh000
Picked235
Done011
Total3418349
Accuracy
100.0%
Counts
349 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓91.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶52.9%
(+.f64 (*.f64 x 1/2) (log.f64 2))
▶58.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
✓48.8%
(*.f64 (neg.f64 x) y)
▶84.5%
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
▶52.2%
(log.f64 2)
Compiler

Compiled 67 to 52 computations (22.4% saved)

localize206.0ms (2.2%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x 1/2) (log.f64 2))
✓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)))
✓100.0%
(-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)
✓99.8%
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
✓99.7%
(/.f64 (log.f64 2) x)
Compiler

Compiled 85 to 66 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
Operation ival-log, time spent: 63.0ms, 59.0% of total-time
Operation ival-mult, time spent: 16.0ms, 15.0% of total-time
Operation ival-add, time spent: 12.0ms, 11.0% of total-time
Operation ival-div, time spent: 9.0ms, 8.0% of total-time
Operation const, time spent: 5.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

series235.0ms (2.5%)

Counts
6 → 70
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 2) x)>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)>
#<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 (*.f64 x 1/2) (log.f64 2))>
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 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 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))>
#<alt (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))>
#<alt (*.f64 -1 (*.f64 x y))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)>
#<alt (-.f64 1/2 y)>
#<alt (-.f64 1/2 y)>
#<alt (+.f64 1/2 (/.f64 (log.f64 2) x))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (*.f64 -1 y)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))>
#<alt (*.f64 -1 y)>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))>
#<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 (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

24 calls:

TimeVariablePointExpression
139.0ms
x
@0
(/ (log 2) x)
70.0ms
x
@inf
(/ (log 2) x)
1.0ms
y
@0
(* x (- (+ 1/2 (/ (log 2) x)) y))
1.0ms
x
@-inf
(* x (- (+ 1/2 (/ (log 2) x)) y))
0.0ms
x
@-inf
(* x (+ 1/2 (* 1/8 x)))

rewrite219.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1259×log1p-expm1-u
415×expm1-log1p-u
276×associate-*r*
162×associate-*l*
158×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022157
1334145
25311145
Stop Event
1×node limit
Counts
6 → 203
Calls
Call 1
Inputs
(/.f64 (log.f64 2) x)
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 x 1/2) (log.f64 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 1) x))) 1)
(*.f64 (log1p.f64 1) (/.f64 1 x))
(*.f64 (/.f64 (log1p.f64 1) x) 1)
(*.f64 1 (/.f64 (log1p.f64 1) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (/.f64 (cbrt.f64 (log1p.f64 1)) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 1) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 1) x)) 2) (cbrt.f64 (/.f64 (log1p.f64 1) x)))
(*.f64 (sqrt.f64 (log1p.f64 1)) (/.f64 (sqrt.f64 (log1p.f64 1)) x))
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 1) x)) (sqrt.f64 (/.f64 (log1p.f64 1) x)))
(*.f64 (log.f64 1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (log1p.f64 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log1p.f64 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log1p.f64 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log1p.f64 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 1)) 1) (/.f64 (sqrt.f64 (log1p.f64 1)) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log1p.f64 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 1) x)) 2)
(pow.f64 (/.f64 x (log1p.f64 1)) -1)
(neg.f64 (/.f64 (log1p.f64 1) (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 1/2) x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 1) x) 2))
(log.f64 (pow.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 1) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 1) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 1) x)) 1))
(+.f64 (*.f64 x 1/2) (*.f64 x (-.f64 (/.f64 (log1p.f64 1) x) y)))
(+.f64 (*.f64 x 1/2) (*.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) x))
(+.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))) 1)
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3))) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2))) (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3)) x) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2)) x) (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))) 1))
(+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 (neg.f64 y)))
(+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))
(+.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y))
(+.f64 1/2 (*.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) 1))
(+.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) (neg.f64 y))
(+.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) (*.f64 (neg.f64 y) 1))
(+.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (+.f64 (/.f64 (log1p.f64 1) x) 1/2))
(+.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) 1/2)
(*.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 1)
(*.f64 1 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 2) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))) (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)) (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2)) (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 y (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (pow.f64 y 2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 1) x) (+.f64 1/2 y))))
(/.f64 (+.f64 1/8 (pow.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) 3)) (+.f64 1/4 (-.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) (-.f64 (/.f64 (log1p.f64 1) x) y)) (*.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) (neg.f64 y)))))
(/.f64 (-.f64 1/4 (*.f64 (-.f64 (/.f64 (log1p.f64 1) x) y) (-.f64 (/.f64 (log1p.f64 1) x) y))) (-.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) (neg.f64 y)))
(pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(exp.f64 (log.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (log1p.f64 1) x) (-.f64 1/2 y))) 1))
(fma.f64 1 (+.f64 (/.f64 (log1p.f64 1) x) 1/2) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) 2) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (neg.f64 y))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 1) x) 1/2)) (neg.f64 y))
(+.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 (pow.f64 (*.f64 x 1/2) 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 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 x) (fma.f64 x 1/8 1/2)))
(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 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 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 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.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 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.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 (log1p.f64 1) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.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))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.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))) (log1p.f64 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))

simplify373.0ms (4%)

Algorithm
1×egg-herbie
Rules
1368×fma-neg
820×cancel-sign-sub-inv
672×distribute-lft-neg-in
624×distribute-rgt-neg-in
528×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052110404
112649835
242249278
Stop Event
1×node limit
Counts
273 → 332
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 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 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(*.f64 -1 (*.f64 x y))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(/.f64 (log.f64 2) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(-.f64 1/2 y)
(-.f64 1/2 y)
(+.f64 1/2 (/.f64 (log.f64 2) x))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(*.f64 -1 y)
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 -1 y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))
(*.f64 1/2 x)
(*.f64 1/8 (pow.f64 x 2))
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(*.f64 (pow.f64 x 2) (+.f64 1/8 (*.f64 1/2 (/.f64 1 x))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 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 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.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 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.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 (log1p.f64 1) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.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))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.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))) (log1p.f64 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
Outputs
(log.f64 2)
(log1p.f64 1)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 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 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 1/2 y)) (*.f64 -1 (/.f64 (log.f64 2) x)))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(*.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(*.f64 -1 (*.f64 y (+.f64 x (*.f64 -1 (/.f64 (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x))) y)))))
(*.f64 y (fma.f64 -1 x (*.f64 x (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (*.f64 x (+.f64 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y) -1)))
(*.f64 y (-.f64 (/.f64 (fma.f64 x 1/2 (log.f64 2)) y) x))
(/.f64 (log.f64 2) x)
(/.f64 (log1p.f64 1) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(/.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(/.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) x)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)
(/.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) x)
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) x)
(-.f64 1/2 y)
(-.f64 1/2 y)
(+.f64 1/2 (/.f64 (log.f64 2) x))
(+.f64 1/2 (/.f64 (log1p.f64 1) x))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y))
(-.f64 (/.f64 (log.f64 2) x) (+.f64 y -1/2))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y))
(-.f64 (/.f64 (log.f64 2) x) (+.f64 y -1/2))
(+.f64 1/2 (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x)))
(+.f64 1/2 (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 1/2 (-.f64 (/.f64 (log1p.f64 1) x) y))
(-.f64 (/.f64 (log.f64 2) x) (+.f64 y -1/2))
(*.f64 -1 y)
(neg.f64 y)
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 y (+.f64 (/.f64 1/2 y) (-.f64 (/.f64 (log.f64 2) (*.f64 x y)) 1)))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (log1p.f64 1) (*.f64 x y)))))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 (log.f64 2) x) y))))
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 y (+.f64 (/.f64 1/2 y) (-.f64 (/.f64 (log.f64 2) (*.f64 x y)) 1)))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (log1p.f64 1) (*.f64 x y)))))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 (log.f64 2) x) y))))
(*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 (log.f64 2) (*.f64 x y))) 1))
(*.f64 y (+.f64 (/.f64 1/2 y) (-.f64 (/.f64 (log.f64 2) (*.f64 x y)) 1)))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (log1p.f64 1) (*.f64 x y)))))
(*.f64 y (+.f64 -1 (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 (log.f64 2) x) y))))
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))
(*.f64 (neg.f64 y) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))))
(*.f64 y (neg.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 (log1p.f64 1) x)) y))))
(-.f64 (*.f64 y (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 (log.f64 2) (*.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log.f64 2) (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (log.f64 2) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (log.f64 2) 2)) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (log.f64 2) (*.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x 1/2 (log1p.f64 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(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)) (log1p.f64 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(fma.f64 x 1/2 (log.f64 2))

eval141.0ms (1.5%)

Compiler

Compiled 5524 to 4352 computations (21.2% saved)

prune52.0ms (0.6%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3302332
Fresh000
Picked134
Done044
Total3319340
Accuracy
100.0%
Counts
340 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓91.2%
(-.f64 (log.f64 2) (*.f64 x y))
✓52.9%
(+.f64 (*.f64 x 1/2) (log.f64 2))
✓58.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
✓48.8%
(*.f64 (neg.f64 x) y)
▶33.6%
(*.f64 x (-.f64 1/2 y))
▶52.8%
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
✓52.2%
(log.f64 2)
Compiler

Compiled 72 to 56 computations (22.2% saved)

localize103.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 1/2 y))
✓99.8%
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
✓99.7%
(/.f64 (log1p.f64 1) x)
Compiler

Compiled 37 to 27 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
Operation composed, time spent: 32.0ms, 40.0% of total-time
Operation ival-log, time spent: 23.0ms, 29.0% of total-time
Operation ival-add, time spent: 8.0ms, 10.0% of total-time
Operation ival-div, time spent: 7.0ms, 9.0% of total-time
Operation ival-mult, time spent: 4.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series3.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 1) x)>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))>
Outputs
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (log.f64 2) 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

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x (+ 1/2 (/ (log (+ 1 1)) x)))
0.0ms
x
@inf
(* x (+ 1/2 (/ (log (+ 1 1)) x)))
0.0ms
x
@0
(* x (+ 1/2 (/ (log (+ 1 1)) x)))
0.0ms
x
@0
(/ (log (+ 1 1)) x)
0.0ms
x
@inf
(/ (log (+ 1 1)) x)

rewrite96.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1330×unpow-prod-down
707×log1p-expm1-u
707×expm1-log1p-u
692×log-prod
512×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
113943
2194143
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 (log1p.f64 1) x)
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
Outputs
(+.f64 0 (/.f64 (log.f64 2) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x))) (cbrt.f64 (pow.f64 2 (/.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 2) x))) 1)
(*.f64 1 (/.f64 (log.f64 2) x))
(*.f64 (log.f64 2) (/.f64 1 x))
(*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(*.f64 (log.f64 2) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (log.f64 2) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (log.f64 2) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (/.f64 (cbrt.f64 (log.f64 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (sqrt.f64 (log.f64 2)) (/.f64 (sqrt.f64 (log.f64 2)) x))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 1))
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (log.f64 1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (log.f64 1/2) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(*.f64 (/.f64 1 x) (log.f64 2))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (log.f64 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 2)) -1))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 2) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) (/.f64 (cbrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) (/.f64 (sqrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 2) x))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (log.f64 2) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) 1) (pow.f64 (/.f64 (log.f64 2) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 x)) 1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3) (pow.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (log.f64 2)) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x (log.f64 2))) (cbrt.f64 (/.f64 x (log.f64 2)))) -1) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 x (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 x (sqrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 2))) -1))
(pow.f64 (/.f64 (log.f64 2) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 2)
(pow.f64 (/.f64 x (log.f64 2)) -1)
(pow.f64 (/.f64 (/.f64 x (log.f64 2)) 1) -1)
(neg.f64 (/.f64 (log.f64 2) (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 1/2) x))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 2))
(log.f64 (pow.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 2) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 2) x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 2))) -1))
(+.f64 0 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (/.f64 (log.f64 2) x)) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x (/.f64 (log.f64 2) x)))) (-.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/8)) (fma.f64 (/.f64 (log.f64 2) x) (-.f64 (/.f64 (log.f64 2) x) 1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (/.f64 (log.f64 2) x) 2))) (-.f64 1/2 (/.f64 (log.f64 2) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/8) x) (fma.f64 (/.f64 (log.f64 2) x) (-.f64 (/.f64 (log.f64 2) x) 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 (log.f64 2) x) 2)) x) (-.f64 1/2 (/.f64 (log.f64 2) x)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 (log.f64 2) x))) (exp.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 1 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (log.f64 2) (*.f64 (/.f64 1 x) x) (*.f64 x 1/2))
(fma.f64 x (/.f64 (log.f64 2) x) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (/.f64 (log.f64 2) x) x (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x)))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (log.f64 2)) (/.f64 1 x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (log.f64 2) x))) (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))

simplify85.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1350×associate-/l*
860×distribute-lft-in
690×distribute-rgt-in
590×associate-/r*
490×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03893828
18043455
225823396
Stop Event
1×node limit
Counts
166 → 187
Calls
Call 1
Inputs
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(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)))
(+.f64 0 (/.f64 (log.f64 2) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x))) (cbrt.f64 (pow.f64 2 (/.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 2) x))) 1)
(*.f64 1 (/.f64 (log.f64 2) x))
(*.f64 (log.f64 2) (/.f64 1 x))
(*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(*.f64 (log.f64 2) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (log.f64 2) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 (/.f64 (log.f64 2) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (/.f64 (cbrt.f64 (log.f64 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (sqrt.f64 (log.f64 2)) (/.f64 (sqrt.f64 (log.f64 2)) x))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 1))
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (log.f64 1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (log.f64 1/2) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(*.f64 (/.f64 1 x) (log.f64 2))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (log.f64 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 2)) -1))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 2) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) (/.f64 (cbrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) (/.f64 (sqrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 2) x))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (log.f64 2) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) 1) (pow.f64 (/.f64 (log.f64 2) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 x)) 1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3) (pow.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (log.f64 2)) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) (sqrt.f64 (/.f64 (log.f64 2) x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x (log.f64 2))) (cbrt.f64 (/.f64 x (log.f64 2)))) -1) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 x (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 x (sqrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 2))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 2))) -1))
(pow.f64 (/.f64 (log.f64 2) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 2)
(pow.f64 (/.f64 x (log.f64 2)) -1)
(pow.f64 (/.f64 (/.f64 x (log.f64 2)) 1) -1)
(neg.f64 (/.f64 (log.f64 2) (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 1/2) x))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 2))
(log.f64 (pow.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 2) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 2) x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 2) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 2))) -1))
(+.f64 0 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (/.f64 (log.f64 2) x)) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x (/.f64 (log.f64 2) x)))) (-.f64 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/8)) (fma.f64 (/.f64 (log.f64 2) x) (-.f64 (/.f64 (log.f64 2) x) 1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (/.f64 (log.f64 2) x) 2))) (-.f64 1/2 (/.f64 (log.f64 2) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) 1/8) x) (fma.f64 (/.f64 (log.f64 2) x) (-.f64 (/.f64 (log.f64 2) x) 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (/.f64 (log.f64 2) x) 2)) x) (-.f64 1/2 (/.f64 (log.f64 2) x)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 2) x) 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 (log.f64 2) x))) (exp.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 1 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (log.f64 2) (*.f64 (/.f64 1 x) x) (*.f64 x 1/2))
(fma.f64 x (/.f64 (log.f64 2) x) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (/.f64 (log.f64 2) x) x (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x)))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (log.f64 2)) (/.f64 1 x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (log.f64 2) x))) (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))
Outputs
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(/.f64 (log.f64 2) x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 0 (/.f64 (log.f64 2) x))
(/.f64 (log.f64 2) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x))) (cbrt.f64 (pow.f64 2 (/.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 2 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 2) x))) 1)
(/.f64 (log.f64 2) x)
(*.f64 1 (/.f64 (log.f64 2) x))
(/.f64 (log.f64 2) x)
(*.f64 (log.f64 2) (/.f64 1 x))
(/.f64 (log.f64 2) x)
(*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3))
(/.f64 (log.f64 2) x)
(*.f64 (log.f64 2) (pow.f64 (pow.f64 x -3) 1/3))
(*.f64 (log.f64 2) (cbrt.f64 (pow.f64 x -3)))
(*.f64 (cbrt.f64 (pow.f64 x -3)) (log.f64 2))
(*.f64 (log.f64 2) (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 (log.f64 2) x) 1)
(/.f64 (log.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (/.f64 (cbrt.f64 (log.f64 2)) x))
(/.f64 (log.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)))
(/.f64 (log.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) 1))
(/.f64 (log.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(/.f64 (log.f64 2) x)
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2))
(/.f64 (log.f64 2) x)
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (pow.f64 (/.f64 (log.f64 2) x) 2) 1/3))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 2) x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (cbrt.f64 (/.f64 (log.f64 2) x)))
(/.f64 (log.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 2) x))) 2))
(*.f64 (sqrt.f64 (log.f64 2)) (/.f64 (sqrt.f64 (log.f64 2)) x))
(/.f64 (log.f64 2) x)
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)))
(/.f64 (log.f64 2) x)
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 1))
(/.f64 (log.f64 2) x)
(*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 1 x)) 1))
(/.f64 (log.f64 2) x)
(*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 (/.f64 (log.f64 2) x)))
(/.f64 (log.f64 2) x)
(*.f64 (log.f64 1/2) (/.f64 1 (neg.f64 x)))
(/.f64 (*.f64 (log.f64 1/2) 1) (neg.f64 x))
(/.f64 (log.f64 1/2) (neg.f64 x))
(*.f64 (log.f64 1/2) (pow.f64 (/.f64 1 (neg.f64 x)) 1))
(/.f64 (*.f64 (log.f64 1/2) 1) (neg.f64 x))
(/.f64 (log.f64 1/2) (neg.f64 x))
(*.f64 (/.f64 1 x) (log.f64 2))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (log.f64 2)) -1))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 2) (cbrt.f64 x)))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 2)) -1))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 2) (sqrt.f64 x)))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 2)) -1))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) (/.f64 (cbrt.f64 (log.f64 2)) x))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (/.f64 (log.f64 2) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 x)))
(/.f64 (log.f64 2) x)
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) (/.f64 (sqrt.f64 (log.f64 2)) x))
(/.f64 (log.f64 2) x)
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(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2))) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 3))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 1/3))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (log.f64 2) x) 1/2)))) 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 x (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (log.f64 2) (*.f64 (/.f64 1 x) x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x (/.f64 (log.f64 2) x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x 1/2 (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (/.f64 (log.f64 2) x) x (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) x) (*.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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (log.f64 2) x)) (*.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 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x (/.f64 (log.f64 2) x)) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x)))) (cbrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (sqrt.f64 (*.f64 x (/.f64 (log.f64 2) x))) (*.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)) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log.f64 2) x))) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 (/.f64 (log.f64 2) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 x (log.f64 2)) (/.f64 1 x) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2)) (cbrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (log.f64 2) x))) (sqrt.f64 (/.f64 (log.f64 2) x)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (log.f64 2) x)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))

eval77.0ms (0.8%)

Compiler

Compiled 3326 to 2612 computations (21.5% saved)

prune44.0ms (0.5%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2164220
Fresh000
Picked022
Done077
Total21613229
Accuracy
100.0%
Counts
229 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓91.2%
(-.f64 (log.f64 2) (*.f64 x y))
2.9%
(+.f64 (*.f64 x 1/2) (*.f64 x y))
✓52.9%
(+.f64 (*.f64 x 1/2) (log.f64 2))
✓58.1%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
✓48.8%
(*.f64 (neg.f64 x) y)
33.6%
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
✓33.6%
(*.f64 x (-.f64 1/2 y))
2.9%
(*.f64 x (+.f64 y 1/2))
✓52.8%
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
3.4%
(*.f64 x 1/2)
✓52.2%
(log.f64 2)
Compiler

Compiled 230 to 157 computations (31.7% saved)

regimes29.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

11.0ms
y
10.0ms
x
7.0ms
(-.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)

regimes32.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

14.0ms
y
10.0ms
x
7.0ms
(-.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)

regimes27.0ms (0.3%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)))
Calls

2 calls:

17.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
100.0%2x
91.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 (/.f64 (log1p.f64 1) x)))
Outputs
(*.f64 (neg.f64 x) y)
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.4%)

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

2 calls:

26.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
73.9%5y
87.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
(log.f64 2)
Outputs
(*.f64 (neg.f64 x) y)
(log.f64 2)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
87.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 y 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 y (-.f64 (*.f64 x (/.f64 1/2 y)) x))
Outputs
(*.f64 (neg.f64 x) y)
Calls

2 calls:

5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
48.8%1y
48.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (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:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
3.4%1x
3.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
-351429570548.14056
-8068769.710342797
Results
12.0ms74×256valid
19.0ms30×1024valid
6.0ms20×512valid
2.0ms2×2048valid
0.0ms1×256valid
0.0ms1×256infinite
Compiler

Compiled 192 to 148 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-log, time spent: 16.0ms, 63.0% of total-time
Operation ival-exp, time spent: 4.0ms, 16.0% of total-time
Operation ival-mult, time spent: 2.0ms, 8.0% of total-time
Operation ival-add, time spent: 2.0ms, 8.0% of total-time
Operation ival-sub, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch44.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
-351429570548.14056
-8068769.710342797
Results
13.0ms67×256valid
21.0ms40×1024valid
5.0ms17×512valid
0.0ms3×256infinite
0.0ms1×256valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-log, time spent: 16.0ms, 65.0% of total-time
Operation ival-exp, time spent: 4.0ms, 16.0% 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

bsearch45.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
45.0ms
-351429570548.14056
-8068769.710342797
Results
13.0ms78×256valid
24.0ms33×1024valid
5.0ms16×512valid
0.0ms1×256valid
Compiler

Compiled 144 to 108 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-log, time spent: 14.0ms, 50.0% of total-time
Operation ival-sub, time spent: 7.0ms, 25.0% of total-time
Operation ival-exp, time spent: 3.0ms, 11.0% of total-time
Operation ival-mult, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-5.0934057336767124e-14
-6.3658420491756535e-15
Results
14.0ms95×256valid
0.0ms1×256valid
Compiler

Compiled 112 to 90 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-log, time spent: 2.0ms, 31.0% of total-time
Operation ival-mult, time spent: 2.0ms, 31.0% of total-time
Operation ival-sub, time spent: 1.0ms, 15.0% of total-time
Operation ival-exp, time spent: 1.0ms, 15.0% of total-time
Operation ival-add, time spent: 1.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-5.0934057336767124e-14
-6.3658420491756535e-15
Results
14.0ms95×256valid
0.0ms1×256valid
Compiler

Compiled 88 to 72 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-log, time spent: 3.0ms, 44.0% of total-time
Operation ival-sub, time spent: 1.0ms, 15.0% of total-time
Operation ival-exp, time spent: 1.0ms, 15.0% of total-time
Operation ival-add, time spent: 1.0ms, 15.0% of total-time
Operation ival-mult, time spent: 1.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
18×*-commutative
14×sub-neg
8×cancel-sign-sub-inv
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046353
169353
283353
387353
488353
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4436777100798803/633825300114114700748351602688) (*.f64 (neg.f64 x) y) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -4183246980753157/633825300114114700748351602688) (*.f64 (neg.f64 x) y) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 x 1/2)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))))
(if (<=.f64 x -8200000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 x 1/8)) y))))
(if (<=.f64 x -8200000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 x 1/8)) y))))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8200000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8200000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8200000) (*.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8200000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8200000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4436777100798803/633825300114114700748351602688) (*.f64 (neg.f64 x) y) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -4436777100798803/633825300114114700748351602688) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -4436777100798803/633825300114114700748351602688) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -4183246980753157/633825300114114700748351602688) (*.f64 (neg.f64 x) y) (log.f64 2))
(if (<=.f64 x -4183246980753157/633825300114114700748351602688) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -4183246980753157/633825300114114700748351602688) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 113 to 81 computations (28.3% saved)

soundness886.0ms (9.6%)

Rules
1368×fma-neg
1350×associate-/l*
1126×fma-neg
1074×cancel-sign-sub-inv
908×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052110404
112649835
242249278
03893828
18043455
225823396
05199958
111609722
230999581
055614535
1136113976
2463413915
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 185 to 124 computations (33% saved)

end0.0ms (0%)

preprocess137.0ms (1.5%)

Compiler

Compiled 272 to 158 computations (41.9% saved)

Profiling

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