Details

Time bar (total: 1.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms296×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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify100.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune60.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
9.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181289
1730247
22578229
34915229
45001229

prune58.0ms

Filtered
41 candidates to 26 candidates (63.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done011
Total41445

Merged error: 0b

Counts
45 → 4

localize7.0ms

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))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 172
Calls
4 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
12.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
18.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
15.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
7.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02411615
111581494
250011460

prune312.0ms

Filtered
184 candidates to 120 candidates (65.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1840184
Fresh011
Picked011
Done022
Total1844188

Merged error: 0b

Counts
188 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
11.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
51.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
49.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
46.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02122036
18481909
250011852

prune357.0ms

Filtered
164 candidates to 126 candidates (76.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1640164
Fresh000
Picked011
Done033
Total1644168

Merged error: 0b

Counts
168 → 4

regimes53.0ms

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

sample333.0ms

Algorithm
intervals
Results
194.0ms9092×body80valid