Details

Time bar (total: 4.8s)

sample13.0ms

Algorithm
intervals
Results
4.0ms238×body80valid
0.0ms8×body640valid
0.0ms4×body1280valid
0.0ms5×body320valid
0.0ms1×body2560valid

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

localize4.0ms

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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (* (/ 3.0 8.0) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune40.0ms

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: 0.1b

Counts
24 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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)))

rewrite18.0ms

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)))

series1.0s

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
257.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
255.0ms
(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

prune247.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1016107
Fresh112
Picked011
Done011
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize14.0ms

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 (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
28×cbrt-div
16×cbrt-prod
9×flip3-- flip--
8×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 → 67
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
271.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
263.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
238.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0274872
1647822
21888813
35001787

prune289.0ms

Filtered
79 candidates to 73 candidates (92.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New77279
Fresh066
Picked011
Done022
Total771188

Merged error: 0.0b

Counts
88 → 11

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×cbrt-prod
9×flip3-- flip--
8×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 → 67
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
264.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
266.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
240.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0274872
1647822
21888813
35001787

prune244.0ms

Filtered
79 candidates to 72 candidates (91.1%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New79079
Fresh077
Picked011
Done033
Total791190

Merged error: 0.0b

Counts
90 → 11

regimes164.0ms

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

sample310.0ms

Algorithm
intervals
Results
142.0ms7403×body80valid
16.0ms203×body1280valid
10.0ms161×body640valid
9.0ms94×body2560valid
4.0ms91×body320valid
2.0ms48×body160valid