Details

Time bar (total: 1.9s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052311
152311

prune4.0ms

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
27.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series10.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05315995

prune128.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397

Merged error: 0b

Counts
97 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
51×times-frac
34×add-sqr-sqrt
26×add-cube-cbrt
25×distribute-lft-out
10×distribute-lft-out--
9×add-exp-log associate-/r* add-cbrt-cube
8×unpow-prod-down cube-prod
6×associate-/l* add-log-exp
5×pow1
4×associate-/r/ difference-of-squares
3×cube-div pow-unpow flip3-+ flip-+
2×cbrt-undiv frac-2neg div-exp frac-add clear-num div-inv
1×+-commutative cube-mult pow-to-exp flip3-- pow-pow unpow3 pow-exp sum-log flip-- rem-cube-cbrt sqr-pow
Counts
4 → 123
Calls
4 calls:
5.0ms
(/ x (+ 1.0 x))
26.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
25.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)
5.0ms
(/ 1.0 (- x 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ x (+ 1.0 x))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
7.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)
2.0ms
(/ 1.0 (- x 1.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050051629

prune175.0ms

Filtered
87 candidates to 135 candidates (-55.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done000
Total1353138

Merged error: 0b

Counts
138 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(* (/ x (+ 1.0 x)) (/ x (+ 1.0 x)))
0.1b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
200×*-un-lft-identity
170×times-frac
164×add-sqr-sqrt
100×add-cube-cbrt
51×swap-sqr
39×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
26×distribute-lft-out--
20×associate-/r/ difference-of-squares
18×pow1 distribute-lft-out
10×cbrt-undiv div-exp associate-/r* div-inv
8×prod-exp cbrt-unprod unswap-sqr
6×flip3-- flip-- associate-/l*
4×flip3-+ flip-+ add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 259
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
18.0ms
(* (/ x (+ 1.0 x)) (/ x (+ 1.0 x)))
22.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series10.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049873179
149873179

prune533.0ms

Filtered
175 candidates to 271 candidates (-54.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2710271
Fresh011
Picked011
Done011
Total2713274

Merged error: 0b

Counts
274 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ 1.0 x))
0.0b
(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ 1.0 x)))))
0.0b
(/ 1.0 (- x 1.0))
3.7b
(log (exp (/ x (+ 1.0 x))))

rewrite53.0ms

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
9×associate-/r* distribute-lft-out
8×add-exp-log add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
4×distribute-lft-out-- difference-of-squares
3×associate-+r+ flip3-+ flip-+ div-inv
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative flip3-- rem-log-exp sum-log flip--
Counts
4 → 116
Calls
4 calls:
6.0ms
(/ x (+ 1.0 x))
32.0ms
(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ 1.0 x)))))
5.0ms
(/ 1.0 (- x 1.0))
7.0ms
(log (exp (/ x (+ 1.0 x))))

series13.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050911227

prune180.0ms

Filtered
101 candidates to 128 candidates (-26.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh000
Picked011
Done022
Total1283131

Merged error: 0b

Counts
131 → 3

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample310.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid

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