Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
13.0ms474×body80valid

simplify270.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0137
1236
2354
3454
4544
5874
61564
72064
82194
93144
106444
1131974
1250014

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* 3 (* y y)) (* x x))
6.0ms
(* 3 (* y y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* 3 (* y y)) (* x x))
27.0ms
(* 3 (* y y))

simplify75.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0164163
1658146
22429139
35003139

prune58.0ms

Filtered
36 candidates to 23 candidates (63.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637

Merged error: 0b

Counts
37 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* (* 3 y) y) (* x x))
5.0ms
(* (* 3 y) y)

series59.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (* 3 y) y) (* x x))
26.0ms
(* (* 3 y) y)

simplify122.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0173161
1854144
24082139
35001138

prune47.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done011
Total35641

Merged error: 0b

Counts
41 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
12.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
13.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
7.0ms
(* (cbrt 3) (* y y))

series210.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
84.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
47.0ms
(* (cbrt 3) (* y y))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0263553
11076421
25001366

prune93.0ms

Filtered
71 candidates to 38 candidates (53.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done022
Total71677

Merged error: 0b

Counts
77 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.2b
(* (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))))
6.2b
(sqrt (+ (* 3 (* y y)) (* x x)))
6.2b
(sqrt (+ (* 3 (* y y)) (* x x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×pow1
24×sqrt-prod
16×sqrt-div
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
9×associate-*l*
8×flip3-+ swap-sqr flip-+
7×associate-*r*
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×frac-times prod-exp cbrt-unprod add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/ *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 106
Calls
4 calls:
6.0ms
(* 3 (* y y))
16.0ms
(* (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))))
5.0ms
(sqrt (+ (* 3 (* y y)) (* x x)))
6.0ms
(sqrt (+ (* 3 (* y y)) (* x x)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3 (* y y))
36.0ms
(* (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))))
53.0ms
(sqrt (+ (* 3 (* y y)) (* x x)))
57.0ms
(sqrt (+ (* 3 (* y y)) (* x x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0248886
11010795
25001764

prune150.0ms

Filtered
118 candidates to 66 candidates (55.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done033
Total1186124

Merged error: 0b

Counts
124 → 6

regimes76.0ms

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
094
194

end0.0ms

sample587.0ms

Algorithm
intervals
Results
380.0ms14191×body80valid

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