Details

Time bar (total: 2.6s)

sample94.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.831177%

Results
11.0ms237×body80valid
2.0ms8×body1280valid
0.0ms4×body640valid
0.0ms5×body320valid
0.0ms2×body2560valid

simplify10.0ms

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

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

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify100.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune27.0ms

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: 0.0b

Counts
16 → 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))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite19.0ms

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)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
34.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
02551040
1804975
23034894
35002870

prune219.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96399
Fresh022
Picked011
Done011
Total967103

Merged error: 0.0b

Counts
103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
366×cbrt-div
136×frac-times
111×flip3-- flip--
44×associate-*r/ associate-*l/
17×cbrt-prod
15×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
9×pow1/3
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 153
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
47.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

simplify122.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
03985225
19595094
230804968
350014938

prune584.0ms

Filtered
84 candidates to 165 candidates (-96.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh044
Picked011
Done022
Total1657172

Merged error: 0.0b

Counts
172 → 7

localize9.0ms

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)))
0.3b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite19.0ms

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)))
9.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))
10.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
10.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0229774
1897716
25002696

prune127.0ms

Filtered
63 candidates to 111 candidates (-76.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1101111
Fresh033
Picked011
Done033
Total1108118

Merged error: 0.0b

Counts
118 → 8

regimes236.0ms

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

sample500.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.831177%

Results
178.0ms7406×body80valid
26.0ms224×body1280valid
12.0ms148×body640valid
10.0ms83×body2560valid
7.0ms94×body320valid
2.0ms45×body160valid

Profiling

Loading profile data...