Hyperbolic arc-cosine

Time bar (total: 6.1s)

analyze194.0ms (3.2%)

Algorithm
1×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%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
Operation ival-log, time spent: 109.0ms, 74.0% of total-time
Operation ival-sqrt, time spent: 14.0ms, 9.0% of total-time
Operation ival-mult, time spent: 10.0ms, 7.0% of total-time
Operation ival-sub, time spent: 7.0ms, 5.0% of total-time
Operation ival-add, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

sample2.9s (47.5%)

Results
1.3s8313×256invalid
1.4s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-log, time spent: 317.0ms, 28.0% of total-time
Operation ival-sqrt, time spent: 308.0ms, 27.0% of total-time
Operation ival-mult, time spent: 249.0ms, 22.0% of total-time
Operation ival-add, time spent: 126.0ms, 11.0% of total-time
Operation ival-sub, time spent: 109.0ms, 10.0% of total-time
Operation const, time spent: 30.0ms, 3.0% of total-time
Bogosity

preprocess425.0ms (7%)

Algorithm
1×egg-herbie
Rules
1306×distribute-lft-out
1142×distribute-rgt-out--
1104×unsub-neg
956×sub-neg
904×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(sqrt.f64 (-.f64 (*.f64 x x) 1))
10-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
00-0-x
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) 1)
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
148132
283132
3179132
4416132
5926132
61714132
73285132
84331132
94998132
105299132
115584132
125734132
135807132
146018132
156785132
167270132
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
Operation ival-sqrt, time spent: 21.0ms, 37.0% of total-time
Operation ival-sub, time spent: 12.0ms, 21.0% of total-time
Operation ival-log, time spent: 12.0ms, 21.0% of total-time
Operation ival-add, time spent: 6.0ms, 11.0% of total-time
Operation ival-mult, time spent: 4.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize63.0ms (1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓52.0%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-sqrt, time spent: 12.0ms, 41.0% of total-time
Operation ival-sub, time spent: 6.0ms, 21.0% of total-time
Operation ival-log, time spent: 6.0ms, 21.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation ival-mult, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
1.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite231.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1246×unpow-prod-down
812×fma-define
693×log1p-expm1-u
693×expm1-log1p-u
622×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
115579
2207679
Stop Event
1×node limit
Counts
3 → 208
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
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(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
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(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))

simplify159.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
988×log-prod
732×fma-neg
718×exp-prod
676×associate-*r*
654×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059411811
1147811475
2507211190
Stop Event
1×node limit
Counts
244 → 357
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3) (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) x)
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
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x
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(+.f64 x (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(+.f64 x (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))

eval165.0ms (2.7%)

Compiler

Compiled 6746 to 5003 computations (25.8% saved)

prune51.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3534357
Fresh000
Picked011
Done000
Total3535358
Accuracy
100.0%
Counts
358 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(+.f64 (log.f64 2) (log.f64 x))
▶98.6%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓50.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶31.5%
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
▶98.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 41 to 30 computations (26.8% saved)

localize204.0ms (3.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.7%
(+.f64 (log.f64 2) (log.f64 x))
✓99.6%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓100.0%
(+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
✓99.8%
(pow.f64 (fma.f64 x x -1) 3/2)
✓99.6%
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓33.5%
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
✓99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 84 to 54 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
Operation ival-log, time spent: 37.0ms, 26.0% of total-time
Operation ival-pow, time spent: 35.0ms, 25.0% of total-time
Operation composed, time spent: 20.0ms, 14.0% of total-time
Operation ival-add, time spent: 14.0ms, 10.0% of total-time
Operation ival-mult, time spent: 14.0ms, 10.0% of total-time
Operation ival-div, time spent: 9.0ms, 6.0% of total-time
Operation ival-cbrt, time spent: 7.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

series133.0ms (2.2%)

Counts
7 → 80
Calls

21 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log.f64 (+.f64 x x))
26.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
20.0ms
x
@-inf
(log.f64 (+.f64 x x))
18.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
10.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))

rewrite160.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1018×fma-neg
892×log1p-expm1-u
892×expm1-log1p-u
192×associate-*r*
140×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025175
1345145
24717145
Stop Event
1×node limit
Counts
7 → 218
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(pow.f64 (fma.f64 x x -1) 3/2)
(+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))

simplify84.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
146×+-commutative
116×*-commutative
112×sqr-pow
90×sub-neg
62×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05228115
116998115
Stop Event
1×unsound
Counts
298 → 326
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
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(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
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(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 3/8 (*.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 6) (sqrt.f64 -1))) (*.f64 3/8 (*.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
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(pow.f64 (fma.f64 x x -1) 1/2)
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(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
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(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
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(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
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(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
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(*.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1)))
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(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 3/4))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 2))) (log.f64 (cbrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (log.f64 (sqrt.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(-.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0)))))
(-.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))) 1)
(*.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(log1p.f64 (-.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 1))
(fma.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1 (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) 1 (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(fma.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 1 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0))) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(fma.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(sqrt.f64 -1)
-1
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 -1 (/.f64 (neg.f64 (pow.f64 x -1)) -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 -1 (fma.f64 -1/8 (/.f64 (pow.f64 x -1) -1) (/.f64 (neg.f64 (pow.f64 x -1)) -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 -1 (fma.f64 -1/8 (/.f64 (pow.f64 x -1) -1) (fma.f64 1/16 (/.f64 (pow.f64 x -1) -1) (/.f64 (neg.f64 (pow.f64 x -1)) -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 -1 x) (/.f64 1/8 (pow.f64 x -1))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 1/8 (pow.f64 x -1))) (/.f64 1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 -1 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 -1 x) (/.f64 1/8 (pow.f64 x -1))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 1/8 (pow.f64 x -1))) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (sqrt.f64 -1))
-1
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 -1 (/.f64 x -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 -1 (fma.f64 -1/6 (/.f64 (pow.f64 x -1) -1) (/.f64 x -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 -1 (fma.f64 -1/6 (/.f64 (pow.f64 x -1) -1) (fma.f64 3/40 (/.f64 (pow.f64 x 5) -1) (/.f64 x -1))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 (pow.f64 x -1)) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 -1 (pow.f64 x -1)) (/.f64 3/32 (pow.f64 x -1))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (/.f64 -1 (pow.f64 x -1)) (/.f64 3/32 (pow.f64 x -1))) (/.f64 5/96 (pow.f64 x -1))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 x))
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(neg.f64 (log.f64 (fma.f64 x -1 -1)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(neg.f64 (log1p.f64 (fma.f64 x -1 -1)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(neg.f64 (log.f64 (fma.f64 x -1 -1)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (+.f64 (/.f64 0 0) (fma.f64 x 2 (/.f64 0 0))))))
(neg.f64 (log1p.f64 (fma.f64 x -1 -1)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 0 0) (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(neg.f64 (log.f64 (fma.f64 x -1 -1)))
(-.f64 0 (log.f64 (/.f64 0 0)))
-1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-1
(-.f64 (log.f64 1/2) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 -1 (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (neg.f64 (pow.f64 x -1))) (log.f64 (fma.f64 x x -1)))
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (/.f64 -1 (neg.f64 (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) -1) (neg.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 1 (log.f64 (/.f64 0 0)))
-1
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) -1) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -1))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) -1) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -1))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (+.f64 (neg.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1)))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) -1)) -1) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) -1)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) -1)) (+.f64 (log.f64 x) -1))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
-1
(log.f64 (/.f64 0 0))
-1
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log1p.f64 (fma.f64 x -1 -1))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(log1p.f64 (fma.f64 x 2 -1))
(log1p.f64 (fma.f64 x -1 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(fma.f64 1 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 1 (log.f64 x) (log.f64 2))
(neg.f64 (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -1) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -1)

eval113.0ms (1.9%)

Compiler

Compiled 4796 to 3719 computations (22.5% saved)

prune49.0ms (0.8%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3224326
Fresh000
Picked044
Done011
Total3229331
Accuracy
100.0%
Counts
331 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
✓98.2%
(+.f64 (log.f64 2) (log.f64 x))
▶1.1%
(+.f64 -1 (/.f64 x -1))
▶1.5%
(neg.f64 (log.f64 x))
✓98.6%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓50.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓31.5%
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓98.2%
(log.f64 (+.f64 x x))
▶31.5%
(log.f64 (+.f64 x -1))
Compiler

Compiled 82 to 63 computations (23.2% saved)

localize242.0ms (4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.2%
(pow.f64 (log.f64 x) 2)
✓98.9%
(pow.f64 (log.f64 x) 3)
✓98.4%
(pow.f64 (log.f64 2) 3)
✓98.4%
(pow.f64 (log.f64 2) 2)
Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
Operation ival-log, time spent: 89.0ms, 59.0% of total-time
Operation ival-pow, time spent: 28.0ms, 19.0% of total-time
Operation ival-add, time spent: 10.0ms, 7.0% of total-time
Operation ival-mult, time spent: 7.0ms, 5.0% of total-time
Operation ival-div, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-sub, time spent: 4.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series9.0ms (0.1%)

Counts
4 → 16
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow.f64 (log.f64 x) 2)
1.0ms
x
@-inf
(pow.f64 (log.f64 x) 3)
1.0ms
x
@0
(pow.f64 (log.f64 x) 3)
1.0ms
x
@inf
(pow.f64 (log.f64 x) 3)
1.0ms
x
@inf
(pow.f64 (log.f64 x) 2)

rewrite88.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1078×unpow-prod-down
544×log-prod
443×log1p-expm1-u
443×expm1-log1p-u
432×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
115550
2151350
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 2)
(pow.f64 (log.f64 2) 3)
(pow.f64 (log.f64 x) 3)
(pow.f64 (log.f64 x) 2)
Outputs
(+.f64 0 (pow.f64 (log1p.f64 1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 2)) 1)
(*.f64 (log1p.f64 1) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (pow.f64 (cbrt.f64 (log1p.f64 1)) 4))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 5))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 5) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 2) 3) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 4))
(log.f64 (pow.f64 2 (log1p.f64 1)))
(cbrt.f64 (pow.f64 (log1p.f64 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 1)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log1p.f64 1))) 1/3))
(+.f64 0 (pow.f64 (log1p.f64 1) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) 1)
(*.f64 (log1p.f64 1) (pow.f64 (log1p.f64 1) 2))
(*.f64 (log1p.f64 1) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) (pow.f64 (cbrt.f64 (log1p.f64 1)) 5))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 5/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/4) (pow.f64 (pow.f64 (log1p.f64 1) 3/2) 3/2))
(*.f64 (*.f64 (log1p.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 1)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 4) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (log1p.f64 1) 5/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) 3/2) (log1p.f64 1))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3/2) 3/2) (pow.f64 (log1p.f64 1) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 5) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 1) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 1) 9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 7) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 15/2) 1/3) (sqrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))
(cbrt.f64 (pow.f64 (log1p.f64 1) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 1))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 1)) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 1) 9)) 1/3))
(+.f64 0 (pow.f64 (log.f64 x) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(-.f64 (+.f64 1 (pow.f64 (log.f64 x) 3)) 1)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (log.f64 x) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 5/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/4) (pow.f64 (pow.f64 (log.f64 x) 3/2) 3/2))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 4) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 5/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) 3/2) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 3/2) 3/2) (pow.f64 (log.f64 x) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) 3/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) 9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/3) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 15/2) 1/3) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (pow.f64 (log.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) 9)) 1/3))
(+.f64 0 (pow.f64 (log.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(-.f64 (+.f64 1 (pow.f64 (log.f64 x) 2)) 1)
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) 2) 1)
(*.f64 1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(log.f64 (pow.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 x))) 1/3))

simplify97.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1266×fma-neg
1164×exp-prod
958×unswap-sqr
928×fma-define
552×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02872958
16392701
216832469
357522442
Stop Event
1×node limit
Counts
134 → 160
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(+.f64 0 (pow.f64 (log1p.f64 1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 2)) 1)
(*.f64 (log1p.f64 1) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (pow.f64 (cbrt.f64 (log1p.f64 1)) 4))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 5))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 5) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 1) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 2) 3) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 4))
(log.f64 (pow.f64 2 (log1p.f64 1)))
(cbrt.f64 (pow.f64 (log1p.f64 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 1)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log1p.f64 1))) 1/3))
(+.f64 0 (pow.f64 (log1p.f64 1) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) 1)
(*.f64 (log1p.f64 1) (pow.f64 (log1p.f64 1) 2))
(*.f64 (log1p.f64 1) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(*.f64 (pow.f64 (log1p.f64 1) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) (pow.f64 (cbrt.f64 (log1p.f64 1)) 5))
(*.f64 (sqrt.f64 (log1p.f64 1)) (pow.f64 (log1p.f64 1) 5/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/2) (pow.f64 (log1p.f64 1) 3/2))
(*.f64 (pow.f64 (log1p.f64 1) 3/4) (pow.f64 (pow.f64 (log1p.f64 1) 3/2) 3/2))
(*.f64 (*.f64 (log1p.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 1)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 4) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (log1p.f64 1) 5/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 1) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 4) 3/2) (log1p.f64 1))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3/2) 3/2) (pow.f64 (log1p.f64 1) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 5) 3/2) (sqrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 1) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 1) 9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 7) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 1) 15/2) 1/3) (sqrt.f64 (log1p.f64 1)))
(sqrt.f64 (pow.f64 (log1p.f64 1) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 1) 3)))
(cbrt.f64 (pow.f64 (log1p.f64 1) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 1) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 1))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 1)) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 1) 9)) 1/3))
(+.f64 0 (pow.f64 (log.f64 x) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))))
(-.f64 (+.f64 1 (pow.f64 (log.f64 x) 3)) 1)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (log.f64 x) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 5/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/4) (pow.f64 (pow.f64 (log.f64 x) 3/2) 3/2))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 4) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 5/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) 3/2) (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 3/2) 3/2) (pow.f64 (log.f64 x) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) 3/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 x) 9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/3) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 15/2) 1/3) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (pow.f64 (log.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) 9)) 1/3))
(+.f64 0 (pow.f64 (log.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(-.f64 (+.f64 1 (pow.f64 (log.f64 x) 2)) 1)
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) 2) 1)
(*.f64 1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 5))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 5) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(log.f64 (pow.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 x))) 1/3))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(+.f64 0 (pow.f64 (log1p.f64 1) 2))
(pow.f64 (log.f64 2) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (log1p.f64 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (log.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (pow.f64 2 (log1p.f64 1)))))
(pow.f64 (log.f64 2) 2)
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 2)) 1)
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) 4)))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log.f64 (pow.f64 x (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 x))) 1/3))
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)

eval105.0ms (1.7%)

Compiler

Compiled 4871 to 3770 computations (22.6% saved)

prune26.0ms (0.4%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1600160
Fresh000
Picked044
Done055
Total1609169
Accuracy
100.0%
Counts
169 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.9%
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
✓98.2%
(+.f64 (log.f64 2) (log.f64 x))
✓1.1%
(+.f64 -1 (/.f64 x -1))
✓1.5%
(neg.f64 (log.f64 x))
✓98.6%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓50.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓31.5%
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓98.2%
(log.f64 (+.f64 x x))
✓31.5%
(log.f64 (+.f64 x -1))
Compiler

Compiled 156 to 116 computations (25.6% saved)

regimes18.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x -1))
(neg.f64 (log.f64 x))
(log.f64 (+.f64 x -1))
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

6.0ms
x
5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.6%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x -1))
(neg.f64 (log.f64 x))
(log.f64 (+.f64 x -1))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x -1))
(neg.f64 (log.f64 x))
(log.f64 (+.f64 x -1))
Outputs
(log.f64 (+.f64 x -1))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
31.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
1.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x -1))
Outputs
(+.f64 -1 (/.f64 x -1))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
1.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
10×sub-neg
10×*-commutative
8×neg-sub0
8×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02188
12988
23888
34588
45088
55288
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -1))
(neg.f64 (log.f64 x))
(+.f64 -1 (/.f64 x -1))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -1))
(neg.f64 (log.f64 x))
(+.f64 -1 (/.f64 x -1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

soundness499.0ms (8.2%)

Rules
1246×unpow-prod-down
988×log-prod
812×fma-define
732×fma-neg
718×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059411811
1147811475
2507211190
01279
115579
2207679
05228115
116998115
05228115
116998115
05228115
116998115
Stop Event
1×unsound
1×unsound
1×unsound
1×node limit
1×node limit
Compiler

Compiled 133 to 95 computations (28.6% saved)

end0.0ms (0%)

preprocess43.0ms (0.7%)

Compiler

Compiled 70 to 50 computations (28.6% saved)

Profiling

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