neg log

Time bar (total: 9.0s)

analyze7.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38% of total)
ival-sub: 1.0ms (38% of total)
ival-log: 1.0ms (38% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample1.3s (14.3%)

Results
910.0ms8256×0valid
1.0ms12×0invalid
Precisions
Click to see histograms. Total time spent on operations: 611.0ms
ival-log: 230.0ms (37.6% of total)
ival-div: 167.0ms (27.3% of total)
ival-sub: 102.0ms (16.7% of total)
ival-neg: 91.0ms (14.9% of total)
const: 19.0ms (3.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess222.0ms (2.5%)

Algorithm
egg-herbie
Rules
18×sub-neg
16×fma-define
11×+-commutative
associate-+l-
neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017100
13592
25692
38292
411192
512592
613792
714892
815292
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))

explain137.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
00-0-(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Results
80.0ms512×0valid
Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-log: 13.0ms (36.5% of total)
ival-div: 10.0ms (28% of total)
ival-sub: 6.0ms (16.8% of total)
ival-neg: 5.0ms (14% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff0
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Rules
sub-neg
1-exp
+-commutative
fma-define
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01175
12175
22475
32675
43175
53575
64075
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize136.0ms (1.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy100.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
Results
115.0ms256×0valid
Compiler

Compiled 25 to 7 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 6.0ms (33.8% of total)
ival-div: 5.0ms (28.2% of total)
ival-sub: 3.0ms (16.9% of total)
ival-neg: 3.0ms (16.9% of total)
const: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
4 → 30
Calls
Call 1
Inputs
#<alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (log.f64 x)>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(neg (log (- (/ 1 x) 1)))
1.0ms
x
@0
(neg (log (- (/ 1 x) 1)))
1.0ms
x
@0
(- (/ 1 x) 1)
1.0ms
x
@-inf
(neg (log (- (/ 1 x) 1)))
1.0ms
x
@inf
(log (- (/ 1 x) 1))

rewrite421.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
452×unpow-prod-down
450×log1p-expm1-u
450×expm1-log1p-u
416×add-exp-log
394×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01174
112766
215844
Stop Event
node limit
Counts
4 → 4
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)

simplify867.0ms (9.6%)

Algorithm
egg-herbie
Rules
2377×fma-define
475×fma-neg
355×sub-neg
345×div-sub
315×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
080843
1207769
2472765
31135728
42611720
55180720
66577720
76748720
86763720
96763720
106763720
116942720
126970720
136970720
Stop Event
node limit
Counts
34 → 60
Calls
Call 1
Inputs
(log.f64 x)
(-.f64 x (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
Outputs
(log.f64 x)
(-.f64 x (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 x (neg.f64 (log.f64 x)))
(+.f64 x (log.f64 x))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64))))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 #s(literal -1 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 x (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 x))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)

eval186.0ms (2.1%)

Compiler

Compiled 631 to 205 computations (67.5% saved)

prune20.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New57360
Fresh000
Picked011
Done000
Total57461
Accuracy
100.0%
Counts
61 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 x (log.f64 x))
100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.2%
(log.f64 x)
3.1%
#s(literal 0 binary64)
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(+.f64 x (log.f64 x))
cost-diff0
(log.f64 x)
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
11042
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
(log.f64 x)
x
(+.f64 x (log.f64 x))
x
(log.f64 x)
Outputs
#s(literal 0 binary64)
(log.f64 x)
x
(+.f64 x (log.f64 x))
x
(log.f64 x)

localize45.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy100.0%
(+.f64 x (log.f64 x))
accuracy100.0%
(log.f64 x)
Results
31.0ms256×0valid
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 6.0ms (57.6% of total)
ival-add: 3.0ms (28.8% of total)
const: 1.0ms (9.6% of total)
backward-pass: 0.0ms (0% of total)

series154.0ms (1.7%)

Counts
2 → 17
Calls
Call 1
Inputs
#<alt (log.f64 x)>
#<alt (+.f64 x (log.f64 x))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
Calls

6 calls:

TimeVariablePointExpression
76.0ms
x
@0
(log x)
57.0ms
x
@-inf
(log x)
17.0ms
x
@inf
(log x)
1.0ms
x
@-inf
(+ x (log x))
1.0ms
x
@inf
(+ x (log x))

rewrite151.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
455×prod-diff
371×log1p-expm1-u
371×expm1-log1p-u
349×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
17225
299925
Stop Event
node limit
Counts
2 → 96
Calls
Call 1
Inputs
(log.f64 x)
(+.f64 x (log.f64 x))
Outputs
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(*.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (log.f64 x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (pow.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (cbrt.f64 (-.f64 x (log.f64 x))))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x (log.f64 x))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x (log.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (log.f64 x))))
(log1p.f64 (fma.f64 x (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) x)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 x))

simplify721.0ms (8%)

Algorithm
egg-herbie
Rules
701×fma-neg
535×distribute-lft-in
520×distribute-rgt-in
447×fma-define
437×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02413995
14483243
212453209
363103197
Stop Event
node limit
Counts
113 → 128
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(*.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (log.f64 x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (pow.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (cbrt.f64 (-.f64 x (log.f64 x))))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x (log.f64 x))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x (log.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (log.f64 x))))
(log1p.f64 (fma.f64 x (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) x)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 x))
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (pow.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (pow.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (cbrt.f64 (-.f64 x (log.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 x (log.f64 x))))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (log.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (+.f64 x (log.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(log.f64 (*.f64 x (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x (log.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (log.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(log1p.f64 (fma.f64 x (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x (log.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) x)
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (log.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (log.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (log.f64 x))

eval49.0ms (0.5%)

Compiler

Compiled 1826 to 344 computations (81.2% saved)

prune53.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1731174
Fresh000
Picked033
Done011
Total1735178
Accuracy
100.0%
Counts
178 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
99.6%
(+.f64 x (log.f64 x))
100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.2%
(log.f64 x)
3.1%
#s(literal 0 binary64)
Compiler

Compiled 25 to 18 computations (28% saved)

simplify944.0ms (10.5%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff128
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff128
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
Rules
1805×fma-define
1274×associate--r+
646×+-commutative
576×sub-neg
416×associate--l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01052
12152
22652
33540
43740
510540
641040
7149840
8198340
9265940
10349640
11441040
12460040
13467240
14468740
15469040
16469040
17518840
18530840
19530840
20572740
21608540
22653440
23702740
24710440
25718440
26719240
27719240
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
x
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 x (log1p.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x (log.f64 (+.f64 x #s(literal 0 binary64))))
(+.f64 x (log.f64 x))
x
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(log.f64 (+.f64 x #s(literal 0 binary64)))
(log.f64 x)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize95.0ms (1%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x #s(literal 1 binary64))
accuracy100.0%
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
accuracy5.0%
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
Results
71.0ms252×1valid
0.0ms0valid
Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log1p: 15.0ms (40% of total)
backward-pass: 8.0ms (21.3% of total)
ival-sub: 7.0ms (18.7% of total)
ival-add: 6.0ms (16% of total)
const: 1.0ms (2.7% of total)

series257.0ms (2.8%)

Counts
3 → 33
Calls
Call 1
Inputs
#<alt (+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))>
#<alt (log1p.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
Outputs
#<alt (log.f64 x)>
#<alt (+.f64 x (log.f64 x))>
#<alt (+.f64 x (log.f64 x))>
#<alt (+.f64 x (log.f64 x))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))>
#<alt (log.f64 x)>
#<alt (log.f64 x)>
#<alt (log.f64 x)>
#<alt (log.f64 x)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
Calls

9 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(log (+ 1 (- x 1)))
3.0ms
x
@-inf
(+ x (log (+ 1 (- x 1))))
0.0ms
x
@inf
(+ x (log (+ 1 (- x 1))))
0.0ms
x
@-inf
(- x 1)
0.0ms
x
@inf
(- x 1)

rewrite387.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
610×prod-diff
535×log1p-expm1-u
535×expm1-log1p-u
452×pow1
388×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
111235
2151835
Stop Event
node limit
Counts
3 → 147
Calls
Call 1
Inputs
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
(log1p.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (log.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (log.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (log.f64 x))))
(log1p.f64 (fma.f64 x (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) x)
(fma.f64 (log.f64 x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))

simplify245.0ms (2.7%)

Algorithm
egg-herbie
Rules
704×fma-define
517×times-frac
499×distribute-lft-in
460×distribute-rgt-in
248×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03444549
16864379
219083692
Stop Event
node limit
Counts
180 → 185
Calls
Call 1
Inputs
(log.f64 x)
(+.f64 x (log.f64 x))
(+.f64 x (log.f64 x))
(+.f64 x (log.f64 x))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(literal -1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (log.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (log.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 x (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (log.f64 x))))
(log1p.f64 (fma.f64 x (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (log.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (log.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) x)
(fma.f64 (log.f64 x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64))))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (log.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (cbrt.f64 (log.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
Outputs
(log.f64 x)
(+.f64 x (log.f64 x))
(+.f64 x (log.f64 x))
(+.f64 x (log.f64 x))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(+.f64 x (log.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(+.f64 x (log.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(+.f64 x (log.f64 x))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)))
(log.f64 x)
(log.f64 x)
(log.f64 x)
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 x)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 x)
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(log.f64 x)
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))

eval100.0ms (1.1%)

Compiler

Compiled 2128 to 602 computations (71.7% saved)

prune58.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done044
Total1855190
Accuracy
100.0%
Counts
190 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
99.6%
(+.f64 x (log.f64 x))
100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.2%
(log.f64 x)
3.1%
#s(literal 0 binary64)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes22.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(log.f64 x)
(+.f64 x (log.f64 x))
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
100.0%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
100.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
100.0%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(log.f64 x)
(+.f64 x (log.f64 x))
(+.f64 x (log1p.f64 (-.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 x (log.f64 x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(log.f64 x)
Outputs
(log.f64 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
neg-mul-1
unsub-neg
+-commutative
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
12450
22950
33550
44250
55150
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (log.f64 x))
(log.f64 x)
#s(literal 0 binary64)
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 x (log.f64 x))
(log.f64 x)
#s(literal 0 binary64)

soundness2.3s (25.5%)

Rules
2377×fma-define
475×fma-neg
452×unpow-prod-down
450×log1p-expm1-u
450×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01174
112766
215844
080843
1207769
2472765
31135728
42611720
55180720
66577720
76748720
86763720
96763720
106763720
116942720
126970720
136970720
Stop Event
done
node limit
node limit
Compiler

Compiled 144 to 40 computations (72.2% saved)

preprocess103.0ms (1.1%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

end0.0ms (0%)

Profiling

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