Hyperbolic arc-cosine

Time bar (total: 7.5s)

analyze200.0ms (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
25%25%75%0%0%0%0%3
33.3%25%50%0%0%25%0%4
40%25%37.5%0%0%37.5%0%5
44.4%25%31.2%0%0%43.7%0%6
47.1%25%28.1%0%0%46.9%0%7
48.5%25%26.5%0%0%48.4%0%8
49.2%25%25.8%0%0%49.2%0%9
49.6%25%25.4%0%0%49.6%0%10
49.8%25%25.2%0%0%49.8%0%11
49.9%25%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.5s (47.2%)

Results
1.4s4164×body2048invalid
1.2s8256×body256valid
602.0ms2099×body1024invalid
169.0ms982×body512invalid
104.0ms1065×body256invalid
2.0msbody4096invalid
Bogosity

preprocess256.0ms (3.4%)

Algorithm
egg-herbie
Rules
1460×fma-def
1306×distribute-lft-out
1242×distribute-rgt-out--
1042×unsub-neg
932×sub-neg
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 10 to 7 computations (30% saved)

eval1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize51.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
49.2%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite164.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
940×fma-def
902×log-prod
770×prod-exp
618×pow-prod-down
496×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121436
2291536
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.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 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (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 (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)
(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 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

simplify143.0ms (1.9%)

Algorithm
egg-herbie
Rules
1608×fma-def
1506×fma-neg
460×associate-+l+
448×associate-+r+
422×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02803123
16512987
219502827
373712827
Stop Event
node limit
Counts
101 → 165
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.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 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (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 (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)
(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 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
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)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6))))
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 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))))
(*.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))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)))))
(+.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 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.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)))
(/.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))
(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 (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))
(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 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.f64 (log.f64 -1) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log1p.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval129.0ms (1.7%)

Compiler

Compiled 2625 to 1945 computations (25.9% saved)

prune23.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1623165
Fresh000
Picked011
Done000
Total1624166
Accuracy
100.0%
Counts
166 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(+.f64 (log.f64 2) (log.f64 x))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
99.3%
(+.f64 (log.f64 2) (log.f64 x))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 42 computations (30% saved)

localize132.0ms (1.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.7%
(+.f64 (log.f64 2) (log.f64 x))
99.6%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 26 computations (43.5% saved)

series124.0ms (1.6%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
28.0ms
x
@-inf
(log.f64 (+.f64 x x))
25.0ms
x
@0
(log.f64 (+.f64 x x))
15.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
6.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite204.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1734×fma-def
1244×log-prod
678×fma-neg
506×expm1-udef
502×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01545
133141
2472441
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 1/8) (log.f64 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))))
(+.f64 (log.f64 (pow.f64 (/.f64 0 0) 3/2)) (log.f64 (pow.f64 (/.f64 0 0) 3/2)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
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(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
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(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Rules
90×+-commutative
56×sqr-pow
52×*-commutative
50×fma-udef
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373549
19593549
Stop Event
unsound
Counts
201 → 181
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
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(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 0)
(+.f64 0 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x)))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(-.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))) 1)
(*.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(*.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -1))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (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 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (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 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (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 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (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 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
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(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
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(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1 (pow.f64 x 6)) -1)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
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(+.f64 (log.f64 -2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.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 -1 (pow.f64 x 6)) -1))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(+.f64 (log.f64 2) (neg.f64 (neg.f64 (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 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(+.f64 (log.f64 (/.f64 0 0)) 0)
-1
(+.f64 (log.f64 2) (log.f64 x))
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(/.f64 -1 (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 -1)
(log.f64 (/.f64 0 0))
-1
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log1p.f64 (fma.f64 x 2 -1))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(+.f64 -1 (log1p.f64 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(+.f64 -1 (log1p.f64 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(+.f64 (log1p.f64 (fma.f64 x 2 -1)) (log1p.f64 (fma.f64 x 2 -1)))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (+.f64 -1 (*.f64 2 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (+.f64 -1 (*.f64 2 (+.f64 x -1))))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1/2 (+.f64 -1 (+.f64 x -1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -1))))
(neg.f64 (log1p.f64 (fma.f64 x 2 -1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
-1
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 2) -1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 x) -1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (log.f64 2) -1 (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (log.f64 x) -1 (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 -1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 x)) -1 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 2)) -1 (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)) -1)
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))

eval77.0ms (1%)

Compiler

Compiled 1990 to 1629 computations (18.1% saved)

prune47.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1783181
Fresh000
Picked033
Done011
Total1787185
Accuracy
100.0%
Counts
185 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(+.f64 (log.f64 2) (log.f64 x))
29.4%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
13.7%
(+.f64 -1 (log.f64 4))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
1.6%
-1
99.3%
(+.f64 (log.f64 2) (log.f64 x))
29.4%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
13.7%
(+.f64 -1 (log.f64 4))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
1.6%
-1
Compiler

Compiled 88 to 68 computations (22.7% saved)

localize43.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
98.4%
(+.f64 -1 (log.f64 4))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series0.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
0.0ms
x
@0
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
0.0ms
x
@inf
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))

rewrite376.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
1164×unpow-prod-down
862×log-prod
578×prod-diff
480×pow-prod-down
444×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
126022
2297922
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(+.f64 -1 (log.f64 4))
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
Outputs
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144
x
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144
x

simplify294.0ms (3.9%)

Algorithm
egg-herbie
Rules
3282×fma-neg
1996×fma-def
1426×distribute-rgt-in
1414×distribute-lft-in
768×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049198
167198
290198
3164198
4318198
5850198
62342198
74677198
85158198
95296198
105340198
115345198
125345198
136572198
147062198
157678198
Stop Event
node limit
Counts
78 → 37
Calls
Call 1
Inputs
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (log.f64 x) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144
Outputs
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (log.f64 x) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/4
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
17
27
64
65
256
4096
262144

eval4.0ms (0.1%)

Compiler

Compiled 61 to 56 computations (8.2% saved)

prune11.0ms (0.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New29837
Fresh101
Picked202
Done044
Total321244
Accuracy
100.0%
Counts
44 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(-.f64 (log.f64 x) 1)
99.3%
(+.f64 (log.f64 2) (log.f64 x))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
19.3%
256
17.3%
65
17.3%
64
16.3%
27
15.9%
17
15.2%
8
14.6%
3
29.4%
(-.f64 (log.f64 x) 1)
99.3%
(+.f64 (log.f64 2) (log.f64 x))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
19.3%
256
17.3%
65
17.3%
64
16.3%
27
15.9%
17
15.2%
8
14.6%
3
Compiler

Compiled 98 to 78 computations (20.4% saved)

localize31.0ms (0.4%)

Localize:

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (log.f64 x) 1)
0.0ms
x
@inf
(-.f64 (log.f64 x) 1)
0.0ms
x
@0
(-.f64 (log.f64 x) 1)

rewrite143.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1290×pow1
1190×add-exp-log
1188×log1p-expm1-u
1188×expm1-log1p-u
1164×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113911
2167811
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 x) 1)
Outputs
(+.f64 (log.f64 x) -1)
(+.f64 -1 (log.f64 x))
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (-.f64 (log.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(log.f64 (/.f64 x (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(log1p.f64 (-.f64 (/.f64 x (E.f64)) 1))
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)

simplify153.0ms (2%)

Algorithm
egg-herbie
Rules
1854×fma-def
1146×associate-/r*
676×associate-*r*
640×log-prod
594×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086851
1191629
2528629
33463609
Stop Event
node limit
Counts
39 → 40
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 x) -1)
(+.f64 -1 (log.f64 x))
(*.f64 1 (+.f64 (log.f64 x) -1))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (-.f64 (log.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(log.f64 (/.f64 x (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(expm1.f64 (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(log1p.f64 (-.f64 (/.f64 x (E.f64)) 1))
(fma.f64 1 (log.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(+.f64 (log.f64 x) -1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(+.f64 -1 (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(*.f64 1 (+.f64 (log.f64 x) -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (log.f64 x) -1) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 2) (cbrt.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) (sqrt.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 1 (log.f64 x)) 1))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) 1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) 1) (-.f64 (sqrt.f64 (log.f64 x)) 1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)) (+.f64 (pow.f64 (log.f64 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 1 (log.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) 1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1)))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 1 (log.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 1 (log.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) 1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (-.f64 (log.f64 x) -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) -1)) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (*.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 1 (log.f64 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) 1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(pow.f64 (+.f64 (log.f64 x) -1) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 x) -1)) 3)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) 1/3)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 x) -1)) 2)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(log.f64 (/.f64 x (E.f64)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(expm1.f64 (log.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 x) -1)))
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(log1p.f64 (-.f64 (/.f64 x (E.f64)) 1))
(log1p.f64 (+.f64 (/.f64 x (E.f64)) -1))
(log1p.f64 (+.f64 -1 (/.f64 x (E.f64))))
(fma.f64 1 (log.f64 x) -1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) -1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -1)
(fma.f64 -1 (neg.f64 (log.f64 x)) -1)
(+.f64 -1 (log.f64 x))

eval8.0ms (0.1%)

Compiler

Compiled 405 to 256 computations (36.8% saved)

prune10.0ms (0.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New40040
Fresh077
Picked011
Done044
Total401252
Accuracy
100.0%
Counts
52 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(-.f64 (log.f64 x) 1)
99.3%
(+.f64 (log.f64 2) (log.f64 x))
99.4%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
47.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%
(log.f64 (+.f64 x x))
19.3%
256
17.3%
65
17.3%
64
16.3%
27
15.9%
17
15.2%
8
14.6%
3
Compiler

Compiled 98 to 75 computations (23.5% saved)

regimes26.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
64
65
256
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 4))
(-.f64 (log.f64 x) 1)
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

3 calls:

9.0ms
x
8.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.4%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 70 to 50 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
64
65
256
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 4))
(-.f64 (log.f64 x) 1)
(+.f64 -1 (neg.f64 (neg.f64 (log.f64 x))))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes7.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
64
65
256
Outputs
256
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
19.3%1x
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
64
65
Outputs
65
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
17.3%1x
Compiler

Compiled 10 to 9 computations (10% saved)

regimes8.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
64
Outputs
64
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
17.3%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
3
8
17
27
Outputs
27
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
16.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
3
8
17
Outputs
17
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
15.9%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
3
8
Outputs
8
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
15.2%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
3
Outputs
3
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
14.6%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
12242
22842
33242
43542
53642
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
256
65
64
27
17
8
3
-1
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
256
65
64
27
17
8
3
-1
Compiler

Compiled 30 to 25 computations (16.7% saved)

soundness1.1s (14.4%)

Rules
1734×fma-def
1734×fma-def
1608×fma-def
1506×fma-neg
1244×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02803123
16512987
219502827
373712827
01545
133141
2472441
03373549
19593549
01545
133141
2472441
03373549
19593549
01222
126022
2297922
01222
126022
2297922
01222
126022
2297922
01222
126022
2297922
01222
126022
2297922
01222
126022
2297922
01222
126022
2297922
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
unsound
node limit
node limit
Compiler

Compiled 144 to 66 computations (54.2% saved)

end0.0ms (0%)

preprocess99.0ms (1.3%)

Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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