Rust f64::atanh

Time bar (total: 3.6s)

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, 118.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (31.2%)

Results
1.1s8255×256valid
0.0ms256invalid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 550.0ms
Operation ival-atanh, time spent: 541.0ms, 98.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess794.0ms (22.3%)

Algorithm
egg-herbie
Rules
252×fma-define
48×sub-neg
44×fma-neg
26×*-commutative
24×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 2 x)
00-0-(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
00-0-1/2
00-0-(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
00-0-(-.f64 1 x)
00-0-2
00-0-1
00-0-(/.f64 (*.f64 2 x) (-.f64 1 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 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Compiler

Compiled 85 to 65 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 598.0ms
Operation composed, time spent: 243.0ms, 41.0% of total-time
Operation ival-log, time spent: 217.0ms, 36.0% of total-time
Operation ival-mult, time spent: 47.0ms, 8.0% of total-time
Operation ival-sub, time spent: 34.0ms, 6.0% of total-time
Operation ival-div, time spent: 31.0ms, 5.0% of total-time
Operation ival-add, time spent: 16.0ms, 3.0% of total-time
Operation const, time spent: 11.0ms, 2.0% of total-time

eval4.0ms (0.1%)

Compiler

Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

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

Compiled 22 to 18 computations (18.2% saved)

localize673.0ms (18.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
100.0%
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
100.0%
(*.f64 x (/.f64 2 (-.f64 1 x)))
100.0%
(/.f64 2 (-.f64 1 x))
Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 759.0ms
Operation composed, time spent: 259.0ms, 34.0% of total-time
Operation ival-log, time spent: 235.0ms, 31.0% of total-time
Operation ival-div, time spent: 165.0ms, 22.0% of total-time
Operation ival-mult, time spent: 41.0ms, 5.0% of total-time
Operation ival-sub, time spent: 36.0ms, 5.0% 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

series10.0ms (0.3%)

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

15 calls:

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

rewrite228.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
1800×prod-diff
894×log-prod
793×log1p-expm1-u
793×expm1-log1p-u
256×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

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

simplify113.0ms (3.2%)

Algorithm
egg-herbie
Rules
1136×associate-/r*
872×distribute-lft-in
752×distribute-rgt-in
518×distribute-lft-neg-out
420×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
2
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x))))
(+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x))))))
(/.f64 -2 x)
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2) x)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x)))) x)
(/.f64 -2 x)
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2) x))) x))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
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(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
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(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
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(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
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(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
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(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(neg.f64 (/.f64 -2 (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
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(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(/.f64 1 (*.f64 1/2 (/.f64 (-.f64 1 x) x)))
(/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) 1))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 -1 (neg.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x))))
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(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
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(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (*.f64 (/.f64 1 (-.f64 1 x)) x))
(*.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2))) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 x (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 1 x) 2)))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1))
Outputs
2
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x))))
(fma.f64 x (fma.f64 2 x 2) 2)
(+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2)
(*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2))
(/.f64 -2 x)
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x))
(neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) x))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2) x)
(/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2) x)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x)))) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x))) x)
(/.f64 (-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2) x)
(/.f64 (*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)) x)
(/.f64 -2 x)
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x))
(neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) x))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x))
(/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) (neg.f64 x))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2) x))) x))
(neg.f64 (/.f64 (+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2) x))) x))
(/.f64 (-.f64 2 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x)) (neg.f64 x))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(*.f64 x (*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2)
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(-.f64 -2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3)))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 2))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(-.f64 (log.f64 -1) (/.f64 (-.f64 -2 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2))) x))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(*.f64 x (*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2)
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(-.f64 -2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x))
(*.f64 2 x)
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eval92.0ms (2.6%)

Compiler

Compiled 3535 to 2922 computations (17.3% saved)

prune30.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2194223
Fresh000
Picked112
Done000
Total2205225
Accuracy
100.0%
Counts
225 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
100.0%
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
97.9%
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 46 to 40 computations (13% saved)

localize216.0ms (6.1%)

Compiler

Compiled 103 to 85 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
Operation composed, time spent: 60.0ms, 33.0% of total-time
Operation ival-log, time spent: 45.0ms, 24.0% of total-time
Operation ival-mult, time spent: 27.0ms, 15.0% of total-time
Operation ival-add, time spent: 20.0ms, 11.0% of total-time
Operation ival-div, time spent: 15.0ms, 8.0% of total-time
Operation ival-pow, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done011
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
100.0%
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
97.9%
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 98 to 84 computations (14.3% saved)

regimes170.0ms (4.8%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
Calls

4 calls:

6.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
5.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02066
13266
23666
33866
43966
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 x 2)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 23 to 20 computations (13% saved)

soundness28.0ms (0.8%)

Rules
252×fma-define
48×sub-neg
44×fma-neg
26×*-commutative
24×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
saturated
Compiler

Compiled 31 to 25 computations (19.4% saved)

end0.0ms (0%)

preprocess68.0ms (1.9%)

Compiler

Compiled 64 to 54 computations (15.6% saved)

Profiling

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