Details

Time bar (total: 3.1s)

analyze573.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms60×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0299
1299

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
3.0ms
(+ (* x y) z)
6.0ms
(* (+ (* x y) z) y)

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x y) z)
8.0ms
(* (+ (* x y) z) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05040309

prune55.0ms

Filtered
27 candidates to 37 candidates (-37.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638

Merged error: 0.0b

Counts
38 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
6.9b
(cbrt (* y (+ (* x y) z)))
6.9b
(cbrt (* y (+ (* x y) z)))
6.9b
(cbrt (* y (+ (* x y) z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
6.0ms
(cbrt (* y (+ (* x y) z)))
4.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
37.0ms
(cbrt (* y (+ (* x y) z)))
35.0ms
(cbrt (* y (+ (* x y) z)))
36.0ms
(cbrt (* y (+ (* x y) z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
057271032

prune113.0ms

Filtered
71 candidates to 84 candidates (-18.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh134
Picked101
Done011
Total84690

Merged error: 0b

Counts
90 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* y x) z))
0.7b
(cbrt y)
6.9b
(cbrt (* y (+ (* x y) z)))
6.9b
(cbrt (* y (+ (* x y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
Counts
4 → 46
Calls
4 calls:
3.0ms
(cbrt (+ (* y x) z))
1.0ms
(cbrt y)
4.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ (* y x) z))
21.0ms
(cbrt y)
37.0ms
(cbrt (* y (+ (* x y) z)))
35.0ms
(cbrt (* y (+ (* x y) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05234499

prune79.0ms

Filtered
50 candidates to 58 candidates (-16.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh044
Picked011
Done011
Total58664

Merged error: 0b

Counts
64 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* x (* x (* y y))) (* z z))
3.1b
(* x (* x (* y y)))
8.5b
(* x (* y y))
21.7b
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down prod-exp cbrt-unprod
6×associate-*l* add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* x (* x (* y y))) (* z z))
7.0ms
(* x (* x (* y y)))
5.0ms
(* x (* y y))
11.0ms
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

series43.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (* x (* x (* y y))) (* z z))
6.0ms
(* x (* x (* y y)))
8.0ms
(* x (* y y))
15.0ms
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
06254989

prune96.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done022
Total956101

Merged error: 0b

Counts
101 → 6

regimes390.0ms

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
0129
1129

end0.0ms

analyze568.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14

sample523.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid
51.0ms1792×body80invalid

Profiling

Loading profile data...