Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
5.0ms228×body80valid
1.0ms11×body1280valid
1.0ms7×body640valid
0.0ms4×body2560valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune2.0ms

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))

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:
2.0ms
(- x (* (/ 3.0 8.0) y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune29.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.1b

Counts
16 → 4

localize8.0ms

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

series150.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
40.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02551040
1812975
23042894
35002870

prune249.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New90999
Fresh022
Picked011
Done011
Total9013103

Merged error: 0.0b

Counts
103 → 13

localize17.0ms

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
51×cbrt-prod
38×cbrt-div
29×add-cube-cbrt *-un-lft-identity
25×pow1
19×flip3-- pow1/3 flip--
18×swap-sqr associate-*r* associate-*l*
12×frac-times unswap-sqr
10×add-exp-log
6×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
4×add-cbrt-cube add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 157
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
42.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify88.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02552024
18121901
230421730
350021690

prune811.0ms

Filtered
112 candidates to 169 candidates (-50.9%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1681169
Fresh01010
Picked011
Done022
Total16814182

Merged error: 0.0b

Counts
182 → 14

localize16.0ms

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
50×cbrt-prod
40×add-sqr-sqrt
32×cbrt-div
24×add-cube-cbrt *-un-lft-identity
18×pow1
14×flip3-- pow1/3 flip--
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log frac-times unswap-sqr
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series156.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
42.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
35.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
38.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02741644
18371568
230001416
350021384

prune657.0ms

Filtered
96 candidates to 140 candidates (-45.8%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh01010
Picked011
Done033
Total14014154

Merged error: 0.0b

Counts
154 → 14

regimes384.0ms

Accuracy

0% (0.1b 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

sample424.0ms

Algorithm
intervals
Results
161.0ms7387×body80valid
21.0ms221×body1280valid
12.0ms103×body2560valid
11.0ms149×body640valid
5.0ms90×body320valid
2.0ms50×body160valid

Profiling

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