Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 1.3s)

analyze1.0ms (0.1%)

Algorithm
1×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)

sample653.0ms (48.5%)

Results
643.0ms8256×body256valid
Bogosity

preprocess109.0ms (8.1%)

Algorithm
2×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
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify68.0ms (5%)

Algorithm
1×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
1×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)

localize25.0ms (1.9%)

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 (0.1%)

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))

rewrite59.0ms (4.4%)

Algorithm
1×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
1×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))))

simplify56.0ms (4.2%)

Algorithm
1×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
1×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))

eval18.0ms (1.3%)

Compiler

Compiled 822 to 619 computations (24.7% saved)

prune11.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done000
Total63568
Accurracy
100.0%
Counts
68 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
▶47.1%
(+.f64 (*.f64 2 x) 1)
▶55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
▶47.1%
(+.f64 (*.f64 2 x) 1)
▶55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
Compiler

Compiled 48 to 40 computations (16.7% saved)

localize35.0ms (2.6%)

Compiler

Compiled 24 to 18 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked022
Done011
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓47.1%
(+.f64 (*.f64 2 x) 1)
✓55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓47.1%
(+.f64 (*.f64 2 x) 1)
✓55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓47.1%
(+.f64 (*.f64 2 x) 1)
✓55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓47.1%
(+.f64 (*.f64 2 x) 1)
✓55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓47.1%
(+.f64 (*.f64 2 x) 1)
✓55.6%
(+.f64 -1 (/.f64 -2 x))
46.0%
1
54.5%
-1
Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes7.0ms (0.5%)

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

2 calls:

4.0ms
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 30 to 23 computations (23.3% saved)

regimes12.0ms (0.9%)

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)
-1
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.7%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.6%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.8%)

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
54.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (2.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.0005304896976144215
9.018777834855304e+25
12.0ms
-22.860187283074385
-0.00112617794174406
Results
24.0ms304×body256valid
Compiler

Compiled 234 to 204 computations (12.8% saved)

bsearch28.0ms (2.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.0005304896976144215
9.018777834855304e+25
12.0ms
-22.860187283074385
-0.00112617794174406
Results
24.0ms304×body256valid
Compiler

Compiled 158 to 147 computations (7% saved)

bsearch28.0ms (2.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.0005304896976144215
9.018777834855304e+25
11.0ms
-22.860187283074385
-0.00112617794174406
Results
25.0ms304×body256valid
Compiler

Compiled 126 to 123 computations (2.4% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
4×sub-neg
4×*-commutative
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026119
140119
243119
345119
446119
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 x 2)) -1))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Compiler

Compiled 58 to 47 computations (19% saved)

soundness88.0ms (6.5%)

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
1×node limit
Compiler

Compiled 51 to 44 computations (13.7% saved)

end72.0ms (5.4%)

Compiler

Compiled 124 to 98 computations (21% saved)

Profiling

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