Details

Time bar (total: 6.1s)

analyze5.0ms (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)

sample1.3s (20.4%)

Results
1.2s8256×body256valid
1.0ms13×body256invalid
Bogosity

preprocess185.0ms (3%)

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
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify193.0ms (3.1%)

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
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize19.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 53 to 29 computations (45.3% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite103.0ms (1.7%)

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
012114
1262114
23766110
Stop Event
node limit
Counts
4 → 235
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(*.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(*.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)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(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 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 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 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 (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 (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 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.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))) (pow.f64 (cbrt.f64 x) 2)) (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) (pow.f64 (cbrt.f64 x) 2)) (/.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))) (/.f64 1 (cbrt.f64 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 (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))))))))
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simplify149.0ms (2.4%)

Algorithm
egg-herbie
Rules
722×log-prod
664×fma-neg
642×fma-def
608×div-sub
580×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062412339
1153811519
2562011415
Stop Event
node limit
Counts
283 → 421
Calls
Call 1
Inputs
(/.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 (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 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.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 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.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 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
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 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(*.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(*.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)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(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 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 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 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 (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 (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 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
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(*.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)))))
Outputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 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 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (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 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.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 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.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 (sqrt.f64 -1) (*.f64 x x))))
(-.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 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.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 (sqrt.f64 -1) (*.f64 x x)))))
(+.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 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (-.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))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (-.f64 (log.f64 2) (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 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 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 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 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 (/.f64 1 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 x 3) (pow.f64 (sqrt.f64 -1) 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 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 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 x 5) (pow.f64 (sqrt.f64 -1) 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 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.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 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (+.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 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 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 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.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 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.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 (/.f64 1/2 (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 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.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 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (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 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.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)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(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)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(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)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval204.0ms (3.3%)

Compiler

Compiled 8731 to 5965 computations (31.7% saved)

prune60.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4183421
Fresh000
Picked011
Done000
Total4184422
Accurracy
100.0%
Counts
422 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
99.1%
(log.f64 (/.f64 2 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize15.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
896×log-prod
690×exp-prod
636×fma-def
602×prod-exp
556×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
121515
2267715
Stop Event
node limit
Counts
1 → 67
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))

simplify75.0ms (1.2%)

Algorithm
egg-herbie
Rules
1120×associate-*r*
1044×associate-*l*
708×log-prod
614×fma-neg
462×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01711932
14151840
210481768
357781744
Stop Event
node limit
Counts
70 → 86
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 1/4 (*.f64 x x))) (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 2 x) 3))) -1)
(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (/.f64 (+.f64 x (/.f64 4 x)) x)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/4) 1)))
(pow.f64 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) -1)
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 1/4 (*.f64 x x) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1) 1))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x))))
(fma.f64 2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/2 (cbrt.f64 x)) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/2 (cbrt.f64 x)) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x))))
(fma.f64 2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series52.0ms (0.8%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log.f64 (/.f64 2 x))
16.0ms
x
@-inf
(log.f64 (/.f64 2 x))
8.0ms
x
@inf
(log.f64 (/.f64 2 x))

rewrite79.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1300×pow1
1198×add-exp-log
1198×log1p-expm1-u
1198×expm1-log1p-u
1168×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2164311
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
Outputs
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 (log.f64 (/.f64 2 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 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (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))
(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))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))

simplify64.0ms (1%)

Algorithm
egg-herbie
Rules
1186×fma-neg
740×log-prod
614×associate-*r*
538×associate-*l*
530×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083571
1167571
2556571
33337571
46193571
Stop Event
node limit
Counts
37 → 34
Calls
Call 1
Inputs
(+.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) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 (log.f64 (/.f64 2 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 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (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))
(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))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 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) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 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 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 2))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(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))
(log.f64 (/.f64 2 x))
(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))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))

localize17.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 46 to 26 computations (43.5% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite94.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1082×prod-diff
1052×log-prod
640×pow-prod-down
590×fma-def
548×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01185
123483
2315983
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Outputs
(-.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 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.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 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.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 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(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)))) 2) 1/2)
(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)
(pow.f64 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 x x)) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(-.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 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 2))
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(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))

simplify133.0ms (2.2%)

Algorithm
egg-herbie
Rules
1324×fma-neg
738×log-prod
574×exp-prod
542×cube-prod
534×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04857833
112127559
247987375
Stop Event
node limit
Counts
197 → 308
Calls
Call 1
Inputs
2
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(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (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 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 x))) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2))) (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1)) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x)))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (*.f64 x x)) (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (*.f64 x x)) (log.f64 (*.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (*.f64 x (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(-.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1)) (log.f64 (*.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 x))) (log1p.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(*.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 2 (*.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1/3 (*.f64 3 (-.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 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.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)))) 2) (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)) 2) 1/2)
(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 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 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 -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 2 (fma.f64 -1/2 (*.f64 x x) (fma.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 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) 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)))))
(+.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.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 (+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.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 1 (/.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 1 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.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 (+.f64 (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))))
(+.f64 1 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3))) (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.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 -1/2 x (/.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 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 5) (/.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 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x 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 (+.f64 (+.f64 (sqrt.f64 -1) (/.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 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.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 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.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) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.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 1 x) (-.f64 (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 1 x) (+.f64 (-.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)) (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))))))
(+.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 (*.f64 -1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 x)))
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(-.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (*.f64 2/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2/3) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1)) (log.f64 (*.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x)))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (*.f64 x (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 x))) (log1p.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (log.f64 (*.f64 x (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 x x)) (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x))))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (cbrt.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 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 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.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 (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 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.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 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.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 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.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)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.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))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2) 1/2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.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))))
(-.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))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

eval943.0ms (15.4%)

Compiler

Compiled 8749 to 6224 computations (28.9% saved)

prune70.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5012503
Fresh000
Picked011
Done033
Total5016507
Accurracy
100.0%
Counts
507 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
99.1%
(log.f64 (/.f64 2 x))
55.0%
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 71 to 53 computations (25.4% saved)

localize35.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 -1/2 x) (/.f64 2 x))
100.0%
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
99.8%
(/.f64 4 (*.f64 x x))
58.2%
(/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))
Compiler

Compiled 106 to 63 computations (40.6% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 4 (*.f64 x x))
1.0ms
x
@inf
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
0.0ms
x
@0
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))
0.0ms
x
@0
(/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))

rewrite120.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1770×log-prod
1502×fma-def
622×expm1-udef
616×log1p-udef
528×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017148
139464
2567864
Stop Event
node limit
Counts
4 → 300
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))
(/.f64 4 (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))
(-.f64 (*.f64 -1/2 x) (/.f64 2 x))
Outputs
(+.f64 0 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (/.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) 1) (/.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) 1))
(*.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))))
(*.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (/.f64 1 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (neg.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
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(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 -2 x))) (cbrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))

simplify157.0ms (2.5%)

Algorithm
egg-herbie
Rules
552×times-frac
544×fma-neg
494×associate-*r*
478×log-prod
432×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064212656
1155911678
2549311182
Stop Event
node limit
Counts
348 → 431
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 1/128 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(/.f64 -2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 0 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (/.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) 1) (/.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) 1))
(*.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))))
(*.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (/.f64 1 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 1 (neg.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 1 (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(*.f64 (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (*.f64 64 (pow.f64 (pow.f64 x -2) 3)))) (fma.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))) (*.f64 1/16 (pow.f64 x 4))))
(*.f64 (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 1/16 (pow.f64 x 4) (neg.f64 (/.f64 16 (pow.f64 x 4))))) (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))))
(pow.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(neg.f64 (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (neg.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 3) (pow.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 -1/2 (/.f64 x (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (*.f64 -1/2 x) (/.f64 1 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 1 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))) (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x)))) (cbrt.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))) (sqrt.f64 (/.f64 -1/2 (/.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 (*.f64 -1/2 x) (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 1 (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 (*.f64 -1/2 x) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 x (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 -1/2 (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 x (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 x (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 -1/2 (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 x 1) (/.f64 -1/2 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 -1/2 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 x)) (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) 2)) (/.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (/.f64 (cbrt.f64 (*.f64 -1/2 x)) (hypot.f64 (*.f64 -1/2 x) (sqrt.f64 (*.f64 -4 (pow.f64 x -2))))) (neg.f64 (/.f64 2 (*.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) x))))
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(/.f64 1 (/.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4)))))) (neg.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 (/.f64 -2 x) 3)) (fma.f64 x (*.f64 x 1/4) (-.f64 (*.f64 (/.f64 -2 x) (/.f64 -2 x)) (*.f64 (*.f64 -1/2 x) (/.f64 -2 x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 (*.f64 -1/2 x) (/.f64 -2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 -2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (/.f64 1 (exp.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 -2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (/.f64 1 (exp.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -2 x)) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (exp.f64 (/.f64 -2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(fma.f64 -1/2 x (/.f64 -2 x))
(fma.f64 -1/2 x (*.f64 (/.f64 -2 x) 1))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 x -1/2 (*.f64 (/.f64 -2 x) 1))
(fma.f64 x 1/2 (/.f64 -2 x))
(fma.f64 x 1/2 (*.f64 (/.f64 -2 x) 1))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 x) 1 (*.f64 (/.f64 -2 x) 1))
(fma.f64 2 (neg.f64 (/.f64 1 x)) (*.f64 -1/2 x))
(fma.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1 (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1 (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 1 (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (*.f64 2 (sinh.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))) (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 -2 x))
(fma.f64 1 (*.f64 -1/2 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 1 (/.f64 -2 x) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 -1/2 x)) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (neg.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 -1/2 x))
(fma.f64 1/2 x (/.f64 -2 x))
(fma.f64 1/2 x (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x))) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 -2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (*.f64 (/.f64 -2 x) 1))
(fma.f64 -1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 -2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 -2 x))) (cbrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/32 (pow.f64 x 5))))
(+.f64 (*.f64 1/128 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/128 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/128 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/32 (pow.f64 x 5)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (/.f64 2 x))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 32 (pow.f64 x 5)))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (/.f64 2 x))) (/.f64 128 (pow.f64 x 7))))
(+.f64 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 32 (pow.f64 x 5))) (/.f64 -128 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5)))) (/.f64 -128 (pow.f64 x 7)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (/.f64 2 x))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 32 (pow.f64 x 5)))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (/.f64 2 x))) (/.f64 128 (pow.f64 x 7))))
(+.f64 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))) (/.f64 32 (pow.f64 x 5))) (/.f64 -128 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5)))) (/.f64 -128 (pow.f64 x 7)))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(pow.f64 (/.f64 2 x) 2)
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
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(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 -1/2 x)) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 -2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (*.f64 (/.f64 -2 x) 1))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (neg.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 1/2 x (/.f64 -2 x))
(fma.f64 1/2 x (*.f64 (/.f64 -2 x) 1))
(fma.f64 1/2 x (/.f64 -2 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 -2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (*.f64 (/.f64 -2 x) 1))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x))) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 -2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (*.f64 (/.f64 -2 x) 1))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 -1 (/.f64 2 x) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 -2 (/.f64 1 x) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 -2 x) (fma.f64 1/2 x (/.f64 -2 x))))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (-.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))) (/.f64 x x))))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 -2 x) (fma.f64 1/2 x (/.f64 -2 x))))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (-.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))) (/.f64 x x))))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 -2 x) (fma.f64 1/2 x (/.f64 -2 x))))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (-.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))) (/.f64 x x))))
(fma.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x))))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (fma.f64 x (*.f64 x 1/4) (*.f64 (/.f64 -2 x) (fma.f64 1/2 x (/.f64 -2 x))))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))) (-.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 x (*.f64 x 1/4))) (/.f64 x x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 -2 x))) (cbrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (*.f64 (/.f64 -2 x) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4)))) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -2 x))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 -2 x) 1))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 -2 x))

localize9.0ms (0.1%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval287.0ms (4.7%)

Compiler

Compiled 11722 to 8732 computations (25.5% saved)

prune67.0ms (1.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4301431
Fresh000
Picked011
Done145
Total4316437
Accurracy
100.0%
Counts
437 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
99.1%
(log.f64 (/.f64 2 x))
55.0%
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))))
99.5%
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 69 to 51 computations (26.1% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 25 to 18 computations (28% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (/.f64 2 x) (*.f64 -1/2 x))
0.0ms
x
@inf
(+.f64 (/.f64 2 x) (*.f64 -1/2 x))
0.0ms
x
@-inf
(+.f64 (/.f64 2 x) (*.f64 -1/2 x))

rewrite71.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1858×pow1
1738×add-exp-log
1736×log1p-expm1-u
1736×expm1-log1p-u
1708×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117915
2235715
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 (/.f64 2 x) (*.f64 -1/2 x))
Outputs
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(-.f64 (/.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))) (/.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))) (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 2 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 x -1/2))
(fma.f64 1 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (/.f64 2 x))

simplify59.0ms (1%)

Algorithm
egg-herbie
Rules
970×fma-neg
914×associate-*r*
838×associate-*l*
606×cancel-sign-sub-inv
496×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001316
12331202
27761138
346211138
Stop Event
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(-.f64 (/.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))) (/.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))) (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 2 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 x -1/2))
(fma.f64 1 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (/.f64 2 x))
Outputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (/.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))) (/.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (*.f64 -1/2 (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 -1/2 (fma.f64 x -1/2 (/.f64 -2 x))) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (*.f64 x x) 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/4 (+.f64 1 (/.f64 (/.f64 4 x) x))))
(*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))) (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (*.f64 -1/2 (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 -1/2 (fma.f64 x -1/2 (/.f64 -2 x))) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (*.f64 x x) 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/4 (+.f64 1 (/.f64 (/.f64 4 x) x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (*.f64 -1/2 (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 -1/2 (fma.f64 x -1/2 (/.f64 -2 x))) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (*.f64 x x) 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/4 (+.f64 1 (/.f64 (/.f64 4 x) x))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (*.f64 -1/2 (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 -1/2 (fma.f64 x -1/2 (/.f64 -2 x))) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (*.f64 x x) 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/4 (+.f64 1 (/.f64 (/.f64 4 x) x))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (*.f64 -1/2 (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 x (*.f64 -1/2 (fma.f64 x -1/2 (/.f64 -2 x))) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (*.f64 x x) 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/4 (+.f64 1 (/.f64 (/.f64 4 x) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (*.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 (*.f64 x x) -1/4)) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 4 (*.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (/.f64 (/.f64 4 x) x)) (fma.f64 x 1/2 (/.f64 2 x)))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(fma.f64 x -1/2 (/.f64 2 x))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (*.f64 x -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))

eval15.0ms (0.2%)

Compiler

Compiled 771 to 555 computations (28% saved)

prune7.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done055
Total48654
Accurracy
100.0%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(neg.f64 (log.f64 (*.f64 x 1/2)))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
99.1%
(log.f64 (/.f64 2 x))
55.0%
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))))
99.5%
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes18.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(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)))
Calls

3 calls:

7.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms
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 103 to 72 computations (30.1% saved)

regimes13.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x 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:

11.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))))))
Outputs
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022106
133106
240106
344106
446106
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 40 to 30 computations (25% saved)

soundness1.4s (23.1%)

Rules
1770×log-prod
1502×fma-def
1214×log-prod
896×log-prod
858×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
121515
2267715
017148
139464
2567864
012114
1262114
23766110
062412339
1153811519
2562011415
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 609 to 443 computations (27.3% saved)

end34.0ms (0.5%)

Compiler

Compiled 37 to 26 computations (29.7% saved)

Profiling

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