Details

Time bar (total: 7.2s)

sample13.0ms

Algorithm
intervals
Results
5.0ms305×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify89.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44388218
55001218

prune67.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize8.0ms

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))))

rewrite45.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u 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 → 284
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)))
17.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
15.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
16.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
7.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03723242
114653016
250022943

prune549.0ms

Filtered
296 candidates to 165 candidates (55.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2951296
Fresh112
Picked101
Done011
Total2973300

Merged error: 0b

Counts
300 → 3

localize9.0ms

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)))))

rewrite55.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×cbrt-undiv sqrt-pow1 pow1/2 div-exp
1×sqrt-undiv
Counts
4 → 420
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))))
17.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs y) (fabs (- x y)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
15.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
22.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
7.0ms
(/ (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
432 → 432
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
07138585
116728018
250027715

prune1.2s

Filtered
432 candidates to 304 candidates (70.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4311432
Fresh101
Picked011
Done011
Total4323435

Merged error: 0b

Counts
435 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (cbrt (/ (fabs y) (fabs (- x y))))))
0.2b
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (fabs (cbrt (/ (fabs y) (fabs (- x y))))))
0.3b
(cbrt (/ (fabs y) (fabs (- x y))))
0.3b
(cbrt (/ (fabs y) (fabs (- x y))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
2540×sqrt-prod
2224×times-frac
1096×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
598×cbrt-prod
107×associate-/l*
72×div-inv
43×associate-/r*
39×sqrt-div
30×associate-/l/
27×cbrt-div
9×associate-/r/
8×add-exp-log add-cbrt-cube
7×frac-2neg clear-num
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv pow1/3 div-exp
1×sqrt-undiv
Counts
4 → 1186
Calls
4 calls:
38.0ms
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (cbrt (/ (fabs y) (fabs (- x y))))))
15.0ms
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (fabs (cbrt (/ (fabs y) (fabs (- x y))))))
3.0ms
(cbrt (/ (fabs y) (fabs (- x y))))
3.0ms
(cbrt (/ (fabs y) (fabs (- x y))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (cbrt (/ (fabs y) (fabs (- x y))))))
75.0ms
(/ (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (fabs (cbrt (/ (fabs y) (fabs (- x y))))))
56.0ms
(cbrt (/ (fabs y) (fabs (- x y))))
51.0ms
(cbrt (/ (fabs y) (fabs (- x y))))

simplify289.0ms

Algorithm
egg-herbie
Counts
1198 → 1198
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0157535310
1323134503
2500133848

prune3.7s

Filtered
1198 candidates to 569 candidates (47.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New119801198
Fresh000
Picked011
Done022
Total119831201

Merged error: 0b

Counts
1201 → 3

regimes57.0ms

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

sample306.0ms

Algorithm
intervals
Results
167.0ms9217×body80valid