Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
07817
17817

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x 1.0) (- 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05505560

prune79.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
9.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
8.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
7.0ms
(/ (+ x 1.0) (- 1.0 x))

series11.0ms

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

simplify71.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049711258
149711258

prune386.0ms

Filtered
85 candidates to 126 candidates (-48.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done000
Total1264130

Merged error: 0b

Counts
130 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
7.0ms
(/ (- 1.0 x) (+ x 1.0))
10.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (- 1.0 x) (+ x 1.0))
3.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049472485
149472485

prune205.0ms

Filtered
99 candidates to 180 candidates (-81.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done011
Total1804184

Merged error: 0b

Counts
184 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
28.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
8.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
7.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
7.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
8.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify86.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049444649
149444649

prune570.0ms

Filtered
152 candidates to 256 candidates (-68.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done022
Total2564260

Merged error: 0b

Counts
260 → 4

regimes59.0ms

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 (1.0ms)

IterNodesCost
0459
1459

end0.0ms

sample256.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

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