Details

Time bar (total: 1.6s)

analyze3.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

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
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05434556

prune63.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0b

Counts
49 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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
associate-/r/
add-exp-log associate-/r* add-cbrt-cube
pow1 associate-/l* add-log-exp
log-prod flip3-- flip-- div-inv
associate-/l/
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))))
7.0ms
(/ (+ x 1.0) (- 1.0 x))
8.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

series10.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
3.0ms
(/ (+ x 1.0) (- 1.0 x))
5.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
054151251

prune167.0ms

Filtered
86 candidates to 126 candidates (-46.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done000
Total1263129

Merged error: 0b

Counts
129 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/r*
div-exp associate-*l* prod-exp associate-/r/
associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 x))
14.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series5.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1 (- 1.0 x))
3.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05662850

prune92.0ms

Filtered
59 candidates to 96 candidates (-62.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done011
Total96399

Merged error: 0b

Counts
99 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
562×*-un-lft-identity
384×add-sqr-sqrt
360×sqrt-prod
254×add-cube-cbrt
90×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
24×sqrt-div
19×associate-/r/
12×flip3-+ flip-+ associate-/l*
11×add-exp-log add-cbrt-cube
10×div-inv
pow1
cbrt-undiv div-exp associate-/l/ add-log-exp
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
flip3-- div-sub flip--
Counts
4 → 448
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
3.0ms
(sqrt (+ x 1.0))
19.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
8.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
3.0ms
(sqrt (+ x 1.0))
3.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
7.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051488858

prune437.0ms

Filtered
172 candidates to 460 candidates (-167.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4600460
Fresh000
Picked011
Done022
Total4603463

Merged error: 0b

Counts
463 → 3

regimes51.0ms

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
0189
1189

end0.0ms

sample258.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

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