Details

Time bar (total: 4.0s)

sample13.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
0.0ms5×body1280valid
0.0ms5×body640valid
0.0ms3×body2560valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

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))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (* (/ 3.0 8.0) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune29.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.0b

Counts
16 → 6

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)))

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×frac-times add-cbrt-cube 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 → 87
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:
235.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
257.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
268.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02371018
1740953
22721895
35002874

prune211.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh044
Picked011
Done011
Total978105

Merged error: 0.0b

Counts
105 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-- flip--
12×frac-times
6×cbrt-prod associate-*r/ associate-*l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 64
Calls
4 calls:
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)))))
10.0ms
(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)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
263.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
248.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
243.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (107.0ms)

IterNodesCost
02131222
14991150
214671142
345681137
450031136

prune243.0ms

Filtered
76 candidates to 62 candidates (81.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done022
Total76884

Merged error: 0.0b

Counts
84 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- x (* (/ 3.0 8.0) y))
76.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
81.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
34.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify174.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0224774
1833702
24839676
35001676

prune152.0ms

Filtered
111 candidates to 62 candidates (55.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1101111
Fresh044
Picked011
Done033
Total1109119

Merged error: 0.0b

Counts
119 → 9

regimes123.0ms

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

sample332.0ms

Algorithm
intervals
Results
157.0ms7431×body80valid
19.0ms209×body1280valid
11.0ms154×body640valid
9.0ms86×body320valid
8.0ms72×body2560valid
2.0ms48×body160valid