Details

Time bar (total: 1.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms342×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1123
2133
3133

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
3.0ms
(+ (* x x) y)
6.0ms
(+ (+ (* x x) y) y)

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x x) y)
5.0ms
(+ (+ (* x x) y) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0136138
1511127
21640121
35002120

prune41.0ms

Filtered
31 candidates to 22 candidates (29.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New26531
Fresh000
Picked101
Done000
Total27532

Merged error: 0.0b

Counts
32 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
7.0ms
(+ (* x x) (+ y y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x x) (+ y y))

simplify56.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010383
146873
2175673
3500273

prune22.0ms

Filtered
16 candidates to 11 candidates (31.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh224
Picked011
Done000
Total17421

Merged error: 0b

Counts
21 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
11.0ms
(* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))

series72.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
17.0ms
(cbrt (+ (* x x) y))
18.0ms
(cbrt (+ (* x x) y))
18.0ms
(cbrt (+ (* x x) y))

simplify114.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0248856
1804805
23537744
35001711

prune97.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×add-cube-cbrt *-un-lft-identity sqrt-div
10×add-log-exp
9×flip3-+ flip-+
8×sqrt-pow1 pow1/2 swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×+-commutative pow-prod-down sum-log pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
4.0ms
(+ (* x x) y)
4.0ms
(+ (* x x) y)
11.0ms
(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
12.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* x x) y)
4.0ms
(+ (* x x) y)
5.0ms
(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
4.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0227600
1903514
25002498

prune69.0ms

Filtered
102 candidates to 56 candidates (45.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done022
Total1024106

Merged error: 0b

Counts
106 → 4

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample472.0ms

Algorithm
intervals
Results
220.0ms10629×body80valid

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