Details

Time bar (total: 1.3s)

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01211
11211

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ x (+ x 1.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
associate-/r*
add-exp-log add-cbrt-cube
associate-/l* distribute-lft-out--
add-log-exp
associate-/r/ difference-of-squares
pow1
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
22.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ x (+ x 1.0))

series11.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms
(/ x (+ x 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05238995

prune140.0ms

Filtered
71 candidates to 96 candidates (-35.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New94296
Fresh000
Picked101
Done000
Total95297

Merged error: 0b

Counts
97 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
0.0b
(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.0b
(/ x (+ x 1.0))
0.0b
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
52×times-frac
39×distribute-lft-out
22×cbrt-prod
19×add-sqr-sqrt add-cube-cbrt
16×unpow-prod-down cube-prod
10×distribute-lft-out--
add-exp-log add-cbrt-cube
cube-div add-log-exp
pow1
flip3-+ associate-/r* flip-+
pow-unpow cbrt-div frac-add associate-/l*
cube-mult unpow3 associate-/r/ sqr-pow
cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 120
Calls
4 calls:
24.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
24.0ms
(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
5.0ms
(/ x (+ x 1.0))
24.0ms
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

series24.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
6.0ms
(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
3.0ms
(/ x (+ x 1.0))
8.0ms
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

simplify46.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050081866

prune136.0ms

Filtered
74 candidates to 132 candidates (-78.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done000
Total1322134

Merged error: 0b

Counts
134 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.0b
(/ x (+ x 1.0))
3.4b
(log (exp (/ x (+ x 1.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
41×add-sqr-sqrt
39×times-frac
33×add-cube-cbrt
20×log-pow
18×exp-prod
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube
pow1 log-prod associate-/r/ associate-/l*
add-log-exp
distribute-lft-out-- difference-of-squares
associate-+r+ flip3-+ flip-+ div-inv
cbrt-undiv frac-2neg div-exp clear-num
+-commutative flip3-- rem-log-exp sum-log flip--
Counts
4 → 116
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
30.0ms
(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
5.0ms
(/ x (+ x 1.0))
6.0ms
(log (exp (/ x (+ x 1.0))))

series14.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1.0 (- x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
3.0ms
(/ x (+ x 1.0))
3.0ms
(log (exp (/ x (+ x 1.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049781227
149781227

prune173.0ms

Filtered
97 candidates to 128 candidates (-32.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh000
Picked011
Done011
Total1282130

Merged error: 0b

Counts
130 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11214

end0.0ms

sample365.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid

Profiling

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