Hyperbolic arc-(co)secant

Time bar (total: 4.4s)

analyze3.0ms (0.1%)

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

Compiled 15 to 11 computations (26.7% saved)

sample969.0ms (22.3%)

Results
953.0ms8256×body256valid
5.0ms27×body256invalid
Bogosity

preprocess168.0ms (3.9%)

Algorithm
egg-herbie
Rules
1654×fma-def
1242×sub-neg
1138×distribute-lft-out
842×associate-+r+
722×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02086
13982
26182
311982
417482
525682
638282
765682
8126882
9214882
10477482
11649682
12727482
13757282
14762882
15766082
16793782
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify169.0ms (3.9%)

Algorithm
egg-herbie
Rules
1468×fma-def
1260×distribute-lft-out
1098×unsub-neg
798×distribute-rgt-in
750×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
22739
33939
45639
58439
613139
734739
873639
9157039
10294239
11465139
12559439
13591239
14619839
15636739
16644439
17671139
18770939
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.6%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize68.0ms (1.6%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 54 to 30 computations (44.4% saved)

series12.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0ms
x
@inf
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite98.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1214×log-prod
858×fma-def
854×pow-prod-down
648×pow-exp
618×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291
126291
2376587
Stop Event
node limit
Counts
3 → 187
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Outputs
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(+.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) (neg.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (log.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(*.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 2))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 -1 (pow.f64 (neg.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))

simplify132.0ms (3%)

Algorithm
egg-herbie
Rules
978×unswap-sqr
574×cancel-sign-sub-inv
480×log-prod
442×sub-neg
440×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053310323
113189603
244449465
Stop Event
node limit
Counts
223 → 347
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 -1 (pow.f64 (neg.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x))) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(-.f64 (+.f64 (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)) (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) -1/6)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) -1/6)))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x -1/2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 4) -1/8))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) -1/8)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) -1/8)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
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(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval122.0ms (2.8%)

Compiler

Compiled 7141 to 4823 computations (32.5% saved)

prune52.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3416347
Fresh000
Picked101
Done000
Total3426348
Accurracy
100.0%
Counts
348 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(-.f64 (log.f64 2) (log.f64 x))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.7%
(log.f64 (/.f64 2 x))
99.2%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
99.4%
(log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
99.2%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
98.7%
(-.f64 (log.f64 2) (log.f64 x))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.7%
(log.f64 (/.f64 2 x))
99.2%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
99.4%
(log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
99.2%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 264 to 208 computations (21.2% saved)

localize173.0ms (4%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.6%
(-.f64 (log.f64 2) (log.f64 x))
100.0%
(*.f64 -1/2 (*.f64 x x))
100.0%
(+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
100.0%
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
99.6%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
99.6%
(log.f64 (/.f64 2 x))
100.0%
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
100.0%
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Compiler

Compiled 158 to 98 computations (38% saved)

series98.0ms (2.3%)

Counts
10 → 107
Calls

30 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (/.f64 2 x))
22.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@-inf
(log.f64 (/.f64 2 x))
15.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
11.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite96.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
596×add-sqr-sqrt
578×pow1
578×*-un-lft-identity
562×add-exp-log
550×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028232
1617222
Stop Event
node limit
Counts
10 → 333
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x))
(*.f64 -1/2 (*.f64 x x))
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (/.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (+.f64 0 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 0 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 0 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(/.f64 (-.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (*.f64 (log.f64 2) 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (/.f64 (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 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 2))))))
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(/.f64 (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 1) x) x) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 1) (neg.f64 x)) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 1)) x) (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/2 1)) (neg.f64 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/2 1)))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 2)) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 2))) (neg.f64 (/.f64 (-.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 2) (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) 2) (pow.f64 x -2)) (-.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) (/.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 3) 1/3)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (pow.f64 x -1/2)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(fma.f64 1 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(fma.f64 1 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) (/.f64 1 x))
(fma.f64 (fma.f64 (*.f64 x x) -1/2 1) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(-.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (*.f64 (log.f64 2) 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.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 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))

simplify785.0ms (18.1%)

Algorithm
egg-herbie
Rules
1098×fma-neg
934×log-prod
852×fma-def
532×associate-*r*
512×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081015002
1201113592
2722513560
Stop Event
node limit
Counts
440 → 526
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 3) 1/3)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (pow.f64 x -1/2)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(fma.f64 1 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(fma.f64 1 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x) (/.f64 1 x))
(fma.f64 (fma.f64 (*.f64 x x) -1/2 1) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(-.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (*.f64 (log.f64 2) 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.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 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x)))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/16)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 (*.f64 (pow.f64 x 4) -1/8) (fma.f64 x (*.f64 x -1/2) 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16)) (fma.f64 x (*.f64 x -1/2) 2))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
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(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)
(-.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 x (*.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 x (*.f64 x -1/2))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 x) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 x) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 x) 0))
(+.f64 (*.f64 (log.f64 2) 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.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 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 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 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(fabs.f64 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))

eval263.0ms (6%)

Compiler

Compiled 10839 to 7802 computations (28% saved)

prune118.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6062608
Fresh101
Picked145
Done000
Total6086614
Accurracy
100.0%
Counts
614 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.7%
(log.f64 (/.f64 2 x))
99.2%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
99.2%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.7%
(log.f64 (/.f64 2 x))
99.2%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
99.2%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 124 to 96 computations (22.6% saved)

localize89.0ms (2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 73 to 45 computations (38.4% saved)

eval54.0ms (1.2%)

Compiler

Compiled 3068 to 2313 computations (24.6% saved)

prune24.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1600160
Fresh000
Picked022
Done044
Total1606166
Accurracy
100.0%
Counts
166 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
99.6%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.7%
(log.f64 (/.f64 2 x))
99.2%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
99.2%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 153 to 114 computations (25.5% saved)

regimes19.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
Outputs
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
Calls

3 calls:

6.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 120 to 86 computations (28.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032166
152166
262166
368166
470166
Stop Event
done
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Outputs
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 62 to 48 computations (22.6% saved)

soundness747.0ms (17.2%)

Rules
1214×log-prod
1098×fma-neg
978×unswap-sqr
978×unswap-sqr
934×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291
126291
2376587
053310323
113189603
244449465
028232
1617222
028232
1617222
081015002
1201113592
2722513560
053310323
113189603
244449465
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 289 to 216 computations (25.3% saved)

end0.0ms (0%)

preprocess57.0ms (1.3%)

Compiler

Compiled 142 to 102 computations (28.2% saved)

Profiling

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