Rust f64::atanh

Time bar (total: 2.8s)

analyze2.0ms (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
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-atanh, time spent: 1.0ms, 162.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample633.0ms (22.3%)

Results
449.0ms8256×256valid
0.0ms256invalid
Precisions
Click to see histograms. Total time spent on operations: 96.0ms
Operation ival-atanh, time spent: 88.0ms, 91.0% of total-time
Operation const, time spent: 9.0ms, 9.0% of total-time
Bogosity

preprocess733.0ms (25.8%)

Algorithm
egg-herbie
Rules
126×fma-define
24×sub-neg
22×fma-neg
13×*-commutative
12×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
00-0-(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
00-0-#s(literal 1/2 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
13571
24571
35871
47371
59271
614971
725671
831471
934971
1037271
1138371
1243971
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Results
485.0ms250×1024valid
41.0ms136×256valid
74.0ms126×512valid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 862.0ms
Operation composed, time spent: 357.0ms, 41.0% of total-time
Operation ival-log, time spent: 334.0ms, 39.0% of total-time
Operation ival-mult, time spent: 85.0ms, 10.0% of total-time
Operation ival-sub, time spent: 34.0ms, 4.0% of total-time
Operation ival-div, time spent: 31.0ms, 4.0% of total-time
Operation ival-add, time spent: 13.0ms, 2.0% of total-time
Operation const, time spent: 10.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize593.0ms (20.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
100.0%
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%
(log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
100.0%
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
Results
421.0ms125×1024valid
37.0ms68×256valid
68.0ms63×512valid
Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 682.0ms
Operation composed, time spent: 234.0ms, 34.0% of total-time
Operation ival-log, time spent: 203.0ms, 30.0% of total-time
Operation ival-mult, time spent: 137.0ms, 20.0% of total-time
Operation ival-div, time spent: 45.0ms, 7.0% of total-time
Operation ival-sub, time spent: 32.0ms, 5.0% of total-time
Operation ival-add, time spent: 21.0ms, 3.0% of total-time
Operation const, time spent: 10.0ms, 1.0% of total-time

series8.0ms (0.3%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))>
#<alt (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))>
#<alt (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))>
Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))>
#<alt #s(literal -2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))>
#<alt #s(literal -2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -2 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64))>
Calls

15 calls:

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

rewrite222.0ms (7.8%)

Algorithm
batch-egg-rewrite
Rules
900×prod-diff
793×log1p-expm1-u
793×expm1-log1p-u
447×log-prod
128×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015124
1200124
22168124
Stop Event
node limit
Counts
5 → 165
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
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(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify123.0ms (4.3%)

Algorithm
egg-herbie
Rules
568×associate-/r*
436×distribute-lft-in
376×distribute-rgt-in
259×distribute-lft-neg-out
210×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03356903
17596305
228366279
Stop Event
node limit
Counts
225 → 223
Calls
Call 1
Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) x))) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (log.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) x))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
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#s(literal -2 binary64)
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(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

eval81.0ms (2.9%)

Compiler

Compiled 3535 to 2922 computations (17.3% saved)

prune32.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2194223
Fresh000
Picked022
Done000
Total2196225
Accuracy
100.0%
Counts
225 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
1.1%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
96.6%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
0.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
Compiler

Compiled 54 to 47 computations (13% saved)

localize248.0ms (8.7%)

Results
183.0ms256×256invalid
Compiler

Compiled 89 to 74 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
Operation composed, time spent: 62.0ms, 31.0% of total-time
Operation ival-div, time spent: 54.0ms, 27.0% of total-time
Operation ival-log, time spent: 42.0ms, 21.0% of total-time
Operation ival-add, time spent: 21.0ms, 11.0% of total-time
Operation ival-mult, time spent: 14.0ms, 7.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done022
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
1.1%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
96.6%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
0.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
Compiler

Compiled 103 to 89 computations (13.6% saved)

regimes53.0ms (1.9%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Calls

4 calls:

45.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
100.0%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes3.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
sub-neg
+-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024101
137101
241101
343101
444101
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 #s(literal -2 binary64)))

soundness54.0ms (1.9%)

Rules
126×fma-define
24×sub-neg
22×fma-neg
13×*-commutative
12×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
13571
24571
35871
47371
59271
614971
725671
831471
934971
1037271
1138371
1243971
Stop Event
done
saturated
Compiler

Compiled 62 to 51 computations (17.7% saved)

preprocess44.0ms (1.5%)

Compiler

Compiled 84 to 70 computations (16.7% saved)

end0.0ms (0%)

Profiling

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