Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 1.6s)

analyze1.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample651.0ms (41.9%)

Results
641.0ms8256×body256valid
Bogosity

preprocess58.0ms (3.7%)

Algorithm
egg-herbie
Rules
1224×fma-def
496×div-sub
340×times-frac
274×fma-neg
262×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
12238
23938
38538
418538
558738
6173638
7241938
8277438
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify65.0ms (4.1%)

Algorithm
egg-herbie
Rules
1302×fma-def
484×div-sub
296×fma-neg
286×distribute-lft-in
274×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
11319
21719
32419
43219
54219
65519
77219
89119
912519
1016119
1120319
1228119
1340419
1479219
15171119
16234919
17290519
18307819
19321419
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 16 to 12 computations (25% saved)

localize23.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite95.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
1772×pow1
1652×log1p-expm1-u
1652×expm1-log1p-u
1648×add-exp-log
1618×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115719
2221919
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

simplify66.0ms (4.3%)

Algorithm
egg-herbie
Rules
662×fma-def
596×associate-+r+
548×associate-+l+
490×fma-neg
436×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191353
13261151
21092967
34259967
Stop Event
node limit
Counts
45 → 67
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 6) (-.f64 1 (*.f64 x x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 6) (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval19.0ms (1.2%)

Compiler

Compiled 822 to 619 computations (24.7% saved)

prune12.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668
Accurracy
100.0%
Counts
68 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize57.0ms (3.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 1 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1966×pow1
1834×log1p-expm1-u
1834×expm1-log1p-u
1830×add-exp-log
188×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118332
2259332
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(/.f64 1 (-.f64 1 x))
Outputs
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))

simplify60.0ms (3.9%)

Algorithm
egg-herbie
Rules
1392×fma-def
1226×associate-/r*
1020×unswap-sqr
578×associate-*r/
514×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02182966
16042454
221482310
Stop Event
node limit
Counts
94 → 137
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 2 (*.f64 x (fma.f64 x x x))))
(+.f64 (*.f64 2 (fma.f64 x (fma.f64 x x x) x)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (fma.f64 x x x))
(fma.f64 x x (+.f64 1 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 1 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(+.f64 (*.f64 x (fma.f64 x x x)) (+.f64 1 x))
(*.f64 (+.f64 1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 1 x)))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (/.f64 1 (pow.f64 (-.f64 1 x) 3))) (fma.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (-.f64 1 x) -2) (/.f64 (/.f64 x (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (/.f64 1 (pow.f64 (-.f64 1 x) 3))) (-.f64 (fma.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)) (pow.f64 (-.f64 1 x) -2)) (/.f64 x (pow.f64 (-.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (/.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x -1)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (pow.f64 (-.f64 1 x) -2)) (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 0 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))) (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (*.f64 -1 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 x) -2)) (fma.f64 x x -1))
(/.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (cbrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (cbrt.f64 (-.f64 1 x)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (cbrt.f64 (-.f64 1 x)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (cbrt.f64 (-.f64 1 x)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))
(pow.f64 (-.f64 1 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 1 (-.f64 1 x)) 0)
(/.f64 1 (-.f64 1 x))

eval38.0ms (2.4%)

Compiler

Compiled 1940 to 1445 computations (25.5% saved)

prune25.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1370137
Fresh022
Picked033
Done011
Total1376143
Accurracy
100.0%
Counts
143 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accurracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accurracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
54.3%
(+.f64 (*.f64 2 x) 1)
48.1%
(+.f64 -1 (/.f64 -2 x))
99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
52.8%
1
46.3%
-1
Compiler

Compiled 63 to 51 computations (19% saved)

regimes8.0ms (0.5%)

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

2 calls:

5.0ms
x
2.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes12.0ms (0.8%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 -1 (/.f64 -2 x))
(+.f64 (*.f64 2 x) 1)
Outputs
(+.f64 -1 (/.f64 -2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 -1 (/.f64 -2 x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.6%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes28.0ms (1.8%)

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

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
46.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch26.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00036295337193655285
1.3373945087935422
13.0ms
-1983.027596723455
-0.00021814455272192666
Results
21.0ms272×body256valid
Compiler

Compiled 250 to 213 computations (14.8% saved)

bsearch25.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.00036295337193655285
1.3373945087935422
13.0ms
-1983.027596723455
-0.00021814455272192666
Results
22.0ms272×body256valid
Compiler

Compiled 182 to 162 computations (11% saved)

bsearch24.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.00036295337193655285
1.3373945087935422
13.0ms
-1983.027596723455
-0.00021814455272192666
Results
21.0ms272×body256valid
Compiler

Compiled 114 to 111 computations (2.6% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
10×+-commutative
if-if-or-not
sub-neg
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027131
144131
247131
349131
450131
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Compiler

Compiled 58 to 47 computations (19% saved)

soundness120.0ms (7.7%)

Rules
662×fma-def
596×associate-+r+
548×associate-+l+
490×fma-neg
436×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191353
13261151
21092967
34259967
Stop Event
node limit
Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess48.0ms (3.1%)

Compiler

Compiled 124 to 98 computations (21% saved)

Profiling

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