Details

Time bar (total: 2.8s)

analyze585.0ms

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

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms70×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0299
1299

prune8.0ms

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
4.0ms
(+ (* x y) z)
7.0ms
(* (+ (* x y) z) y)

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x y) z)
15.0ms
(* (+ (* x y) z) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04993309
14993309

prune56.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) z))
0.5b
(cbrt (+ (* x y) z))
0.5b
(cbrt (+ (* x y) z))
0.6b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

rewrite30.0ms

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:
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
13.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ (* x y) z))
33.0ms
(cbrt (+ (* x y) z))
36.0ms
(cbrt (+ (* x y) z))
43.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049061151
149061151

prune136.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh123
Picked011
Done011
Total986104

Merged error: 0.0b

Counts
104 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) z))
0.5b
(cbrt (+ (* x y) z))
1.4b
(- (pow (* x y) 2) (* z z))
21.5b
(cbrt (- (pow (* x y) 2) (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp difference-of-squares
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×flip3-- flip3-+ flip-- flip-+ unpow2 sqr-pow
1×sub-neg diff-log
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (pow (* x y) 2) (* z z))
5.0ms
(cbrt (- (pow (* x y) 2) (* z z)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ (* x y) z))
34.0ms
(cbrt (+ (* x y) z))
18.0ms
(- (pow (* x y) 2) (* z z))
31.0ms
(cbrt (- (pow (* x y) 2) (* z z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04906781
14906781

prune125.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done022
Total68674

Merged error: 0.0b

Counts
74 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* x (* x (* y y))) (* z z))
2.9b
(* x (* x (* y y)))
12.7b
(* x (* y y))
20.9b
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

rewrite38.0ms

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:
8.0ms
(- (* x (* x (* y y))) (* z z))
8.0ms
(* x (* x (* y y)))
6.0ms
(* x (* y y))
13.0ms
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

series46.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (* x (* x (* y y))) (* z z))
7.0ms
(* x (* x (* y y)))
7.0ms
(* x (* y y))
17.0ms
(/ (- (* x (* x (* y y))) (* z z)) (- (* x y) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
055481111

prune84.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh022
Picked011
Done033
Total956101

Merged error: 0.0b

Counts
101 → 6

regimes435.0ms

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 (1.0ms)

IterNodesCost
0129
1129

end0.0ms

sample533.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
56.0ms1807×body80invalid

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