Hyperbolic arc-cosine

Time bar (total: 2.9s)

analyze76.0ms (2.7%)

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

Compiled 11 to 8 computations (27.3% saved)

sample1.9s (65.2%)

Results
1.0s8256×body256valid
812.0ms8201×body256invalid
Bogosity

preprocess251.0ms (8.8%)

Algorithm
egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1042×unsub-neg
932×sub-neg
Problems
149×No Errors
107×(sqrt.f64 (-.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01673
14069
27369
316869
440069
590369
6168369
7319469
8423469
9487469
10516469
11547269
12562669
13569969
14591069
15667769
16685869
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
59.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize46.0ms (1.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
61.2%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite70.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
930×fma-def
826×log-prod
778×prod-exp
620×exp-prod
576×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119832
2273632
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)

simplify67.0ms (2.4%)

Algorithm
egg-herbie
Rules
1504×fma-def
772×times-frac
756×unswap-sqr
528×distribute-rgt-in
516×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823353
16683205
218533049
Stop Event
node limit
Counts
121 → 183
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/16 (pow.f64 x 5))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) x)
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 x (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) x))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) x))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)

eval64.0ms (2.3%)

Compiler

Compiled 2741 to 1998 computations (27.1% saved)

prune26.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1812183
Fresh000
Picked011
Done000
Total1813184
Accuracy
100.0%
Counts
184 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
59.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
99.8%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
59.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 48 to 34 computations (29.2% saved)

localize51.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 34 to 21 computations (38.2% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1504×prod-diff
958×log-prod
578×fma-def
554×pow-prod-down
468×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121619
2278519
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Outputs
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (/.f64 1 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (*.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2))) (log.f64 (-.f64 (+.f64 x x) (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))

simplify74.0ms (2.6%)

Algorithm
egg-herbie
Rules
1104×associate-+l-
1098×fma-neg
970×fma-def
858×sub-neg
610×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862068
14301966
213111946
348241906
Stop Event
node limit
Counts
54 → 116
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (/.f64 1 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (*.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2))) (log.f64 (-.f64 (+.f64 x x) (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 x (*.f64 x -4)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 x (*.f64 x -4))) (-.f64 (log.f64 -1/2) (log.f64 x)))
(fma.f64 -8 (pow.f64 x 4) (-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 x (*.f64 x -4))) (log.f64 x))))
(fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/4 x) x)))
(fma.f64 (pow.f64 x -2) -1/4 (+.f64 (log.f64 x) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 -1/4 x) x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 x) (log.f64 2)) (fma.f64 (pow.f64 x -2) -1/4 (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -1/32 (pow.f64 x 4)))) (/.f64 -1/192 (pow.f64 x 6))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (+.f64 (fma.f64 (pow.f64 x -2) -1/4 (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 -1/4 x) x))
(fma.f64 (pow.f64 x -2) -1/4 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (fma.f64 (pow.f64 x -2) -1/4 (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/192 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -1/32 (pow.f64 x 4))))) (/.f64 -1/192 (pow.f64 x 6)))
(+.f64 (log.f64 -2) (-.f64 (+.f64 (fma.f64 (pow.f64 x -2) -1/4 (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/192 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -1/4 (*.f64 x (*.f64 x 4)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (/.f64 1 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 4) (fma.f64 1/4 (pow.f64 x -2) 1)) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log1p.f64 (fma.f64 x (*.f64 x 4) (*.f64 1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (/.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 4) (fma.f64 1/4 (pow.f64 x -2) 1)) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log1p.f64 (fma.f64 x (*.f64 x 4) (*.f64 1/4 (pow.f64 x -2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -1/4 (*.f64 x (*.f64 x 4)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -1/4 (*.f64 x (*.f64 x 4)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 4) (fma.f64 1/4 (pow.f64 x -2) 1)) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log1p.f64 (fma.f64 x (*.f64 x 4) (*.f64 1/4 (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))) (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(-.f64 (log.f64 (+.f64 (*.f64 1/8 (pow.f64 x -3)) (*.f64 -8 (pow.f64 x 3)))) (log.f64 (-.f64 (*.f64 x (*.f64 x -4)) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (fma.f64 x (*.f64 x -4) -1) (*.f64 (pow.f64 x -2) -1/4))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))))) (log.f64 (-.f64 (*.f64 -2 x) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x -4)) (/.f64 (/.f64 1/4 x) x))) (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 1/4 (pow.f64 x -2) (*.f64 x (*.f64 x -4)))) (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (*.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (/.f64 -1/2 x) (+.f64 x x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/2 x) (*.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 -1/2 x) (fma.f64 -2 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 -1/2 x) (fma.f64 x -2 (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2))) (log.f64 (-.f64 (+.f64 x x) (/.f64 -1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -1/4 (*.f64 x (*.f64 x 4)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x -3))))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 4) (fma.f64 1/4 (pow.f64 x -2) 1)) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8))) (log1p.f64 (fma.f64 x (*.f64 x 4) (*.f64 1/4 (pow.f64 x -2)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -1/4 (*.f64 x (*.f64 x 4)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (fma.f64 x 2 -1)))

eval41.0ms (1.5%)

Compiler

Compiled 1979 to 1475 computations (25.5% saved)

prune16.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh000
Picked022
Done011
Total1163119
Accuracy
100.0%
Counts
119 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
59.5%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes11.0ms (0.4%)

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

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.8%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11534
22234
32634
42934
53034
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness93.0ms (3.3%)

Rules
1504×fma-def
772×times-frac
756×unswap-sqr
528×distribute-rgt-in
516×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823353
16683205
218533049
Stop Event
node limit
Compiler

Compiled 39 to 31 computations (20.5% saved)

end0.0ms (0%)

preprocess26.0ms (0.9%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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