Details

Time bar (total: 1.4s)

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
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))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05434556

prune72.0ms

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

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))
11.0ms
(/ 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)))

simplify73.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
057882481

prune179.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh033
Picked011
Done000
Total1804184

Merged error: 0b

Counts
184 → 4

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)))

rewrite20.0ms

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
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×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))
12.0ms
(* (+ 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

prune95.0ms

Filtered
60 candidates to 96 candidates (-60.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done011
Total964100

Merged error: 0b

Counts
100 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
147×*-un-lft-identity
134×times-frac
96×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
32×add-exp-log
30×associate-*l*
20×add-cbrt-cube
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv
5×flip3-- flip--
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 239
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
6.0ms
(/ 1 (sqrt (- 1.0 x)))
34.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))
8.0ms
(/ (+ x 1.0) (sqrt (- 1.0 x)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
4.0ms
(/ 1 (sqrt (- 1.0 x)))
3.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))
7.0ms
(/ (+ x 1.0) (sqrt (- 1.0 x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
251 → 251
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053273381

prune333.0ms

Filtered
141 candidates to 251 candidates (-78.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2510251
Fresh011
Picked011
Done022
Total2514255

Merged error: 0b

Counts
255 → 4

regimes31.0ms

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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