Details

Time bar (total: 2.8s)

sample33.0ms

Algorithm
intervals
Results
7.0ms209×body80valid
6.0ms36×body1280valid
4.0ms36×body640valid
2.0ms11×body2560valid
2.0ms20×body320valid
1.0msbody160valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0226
1656
21754
34023
49192
528922
650012

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
6.0ms
(* y (- x z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* y (- x z))

simplify53.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
011298
146288
2188388
3500288

prune41.0ms

Filtered
29 candidates to 17 candidates (58.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh000
Picked011
Done000
Total25530

Merged error: 0b

Counts
30 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* y x) (* y (neg z)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
3.0ms
(+ (* y x) (* y (neg z)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ (* y x) (* y (neg z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
010690
143869
2193066
3500265

prune25.0ms

Filtered
17 candidates to 10 candidates (58.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New17017
Fresh033
Picked011
Done011
Total17522

Merged error: 0b

Counts
22 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x z)) (cbrt (- x z)))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
13.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))

series545.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
142.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
141.0ms
(cbrt (- x z))

simplify155.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0260760
1909723
24484667
35001657

prune227.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.2b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.3b
(sqrt (* y (- x z)))
2.3b
(sqrt (* y (- x z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
flip3-- associate-*r* flip--
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
6.0ms
(* y (- x z))
12.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms
(sqrt (* y (- x z)))
4.0ms
(sqrt (* y (- x z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* y (- x z))
109.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
51.0ms
(sqrt (* y (- x z)))
56.0ms
(sqrt (* y (- x z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0254526
11160473
25001449

prune162.0ms

Filtered
121 candidates to 67 candidates (55.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done033
Total1215126

Merged error: 0b

Counts
126 → 5

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
062
162

end0.0ms

sample880.0ms

Algorithm
intervals
Results
256.0ms6940×body80valid
156.0ms972×body1280valid
123.0ms982×body640valid
60.0ms646×body320valid
44.0ms236×body2560valid
23.0ms349×body160valid

Profiling

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