Details

Time bar (total: 1.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms287×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune3.0ms

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))

rewrite3.0ms

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))

series7.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
086226
1235208
2584208
31520208
44363208
55002208

prune42.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite8.0ms

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 rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
7.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0179277
1728235
22576217
34885217
45001217

prune39.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh022
Picked011
Done011
Total39443

Merged error: 0b

Counts
43 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
5.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
5.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
38.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (fabs (- x y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
6.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify99.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06335924
134305316
250015249

prune158.0ms

Filtered
151 candidates to 346 candidates (-129.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3460346
Fresh011
Picked011
Done022
Total3464350

Merged error: 0b

Counts
350 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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×add-cbrt-cube 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 → 144
Calls
4 calls:
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
12.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
19.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
22.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
33.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02081976
18511849
250011792

prune131.0ms

Filtered
118 candidates to 156 candidates (-32.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done033
Total1564160

Merged error: 0b

Counts
160 → 4

regimes128.0ms

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

sample406.0ms

Algorithm
intervals
Results
182.0ms9085×body80valid

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