Details

Time bar (total: 4.1s)

sample14.0ms

Algorithm
intervals
Results
6.0ms305×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
194
294

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

simplify98.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
086226
1235208
2598208
31534208
44378208
55002208

prune67.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
198×sqrt-div
136×add-sqr-sqrt
102×add-cube-cbrt *-un-lft-identity
92×sqrt-prod
81×frac-times
71×times-frac
69×associate-/r* associate-/l*
23×frac-2neg clear-num
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r/ associate-*l/ unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
5×pow-prod-up
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
18.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
21.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
17.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
03663198
114532972
250012899

prune576.0ms

Filtered
288 candidates to 157 candidates (54.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2871288
Fresh112
Picked101
Done011
Total2893292

Merged error: 0b

Counts
292 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.2b
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs y) (fabs (- x y)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
591×times-frac
468×sqrt-prod
312×add-sqr-sqrt
306×add-cube-cbrt *-un-lft-identity
38×div-inv
36×sqrt-div
31×associate-/r* associate-/l*
9×associate-/r/ associate-/l/
8×add-exp-log add-cbrt-cube
6×pow1 frac-2neg clear-num
4×rem-sqrt-square add-log-exp
2×cbrt-undiv sqrt-pow1 pow1/2 div-exp
1×sqrt-undiv
Counts
4 → 412
Calls
4 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
19.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs y) (fabs (- x y)))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
16.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
24.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
8.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
424 → 424
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
07058527
116647960
250017657

prune1.2s

Filtered
424 candidates to 296 candidates (69.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4231424
Fresh101
Picked011
Done011
Total4243427

Merged error: 0b

Counts
427 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.3b
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y)))
0.4b
(* (/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y))) (sqrt (fabs (- x y))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
353×times-frac
321×sqrt-prod
255×add-sqr-sqrt
208×add-cube-cbrt *-un-lft-identity
100×associate-*l*
44×associate-/l*
34×associate-*l/
27×sqrt-div
24×associate-/r*
18×div-inv associate-/l/
14×unswap-sqr
13×add-exp-log add-cbrt-cube
7×pow1
6×frac-2neg associate-*r* clear-num
4×add-log-exp
3×cbrt-undiv div-exp
2×rem-sqrt-square sqrt-undiv prod-exp cbrt-unprod
1×sqrt-pow1 pow1/2 sqrt-unprod pow-prod-down *-commutative
Counts
4 → 368
Calls
4 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
10.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y)))
35.0ms
(* (/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y))) (sqrt (fabs (- x y))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
21.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
18.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y)))
8.0ms
(* (/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs y))) (sqrt (fabs (- x y))))

simplify97.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06645265
128195036
250014973

prune1.0s

Filtered
380 candidates to 254 candidates (66.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3800380
Fresh000
Picked011
Done022
Total3803383

Merged error: 0b

Counts
383 → 3

regimes56.0ms

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
064

end0.0ms

sample324.0ms

Algorithm
intervals
Results
172.0ms9217×body80valid