Details

Time bar (total: 5.3s)

sample13.0ms

Algorithm
intervals
Results
4.0ms237×body80valid
0.0ms7×body640valid
0.0ms3×body1280valid
0.0ms3×body2560valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- x (* (/ 3.0 8.0) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune47.0ms

Filtered
23 candidates to 17 candidates (73.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New20323
Fresh000
Picked011
Done000
Total20424

Merged error: 0.0b

Counts
24 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
464.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
277.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
02441068
17671003
22875944
35002915

prune253.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh022
Picked011
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
10×cbrt-prod
9×flip3-- flip--
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
270.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
254.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0220814
1525766
21607757
34898734
45001734

prune257.0ms

Filtered
76 candidates to 69 candidates (90.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh134
Picked011
Done022
Total76783

Merged error: 0.0b

Counts
83 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-div
14×flip3-- flip--
8×cbrt-prod frac-times
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 68
Calls
4 calls:
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
14.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
276.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
244.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
254.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify137.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
02201056
1525996
21607986
34898968
45001968

prune373.0ms

Filtered
80 candidates to 70 candidates (87.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New79180
Fresh033
Picked011
Done033
Total79887

Merged error: 0.0b

Counts
87 → 8

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample308.0ms

Algorithm
intervals
Results
135.0ms7390×body80valid
19.0ms203×body1280valid
11.0ms179×body640valid
9.0ms92×body2560valid
8.0ms95×body320valid
1.0ms41×body160valid