Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms245×body80valid
0.0ms5×body640valid
0.0ms4×body320valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify306.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239074
1350014

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity add-log-exp
24×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 53
Calls
3 calls:
14.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
8.0ms
(+ (+ (+ x y) y) x)
6.0ms
(+ (+ x y) y)

series15.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
5.0ms
(+ (+ (+ x y) y) x)
4.0ms
(+ (+ x y) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0249320
1929288
25001270

prune60.0ms

Filtered
62 candidates to 37 candidates (40.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh000
Picked011
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 y)))

rewrite5.0ms

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:
5.0ms
(+ (* 3 x) (+ z (* 2 y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune26.0ms

Filtered
16 candidates to 11 candidates (31.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New15116
Fresh123
Picked011
Done011
Total16521

Merged error: 0.0b

Counts
21 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
14.0ms
(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
6.0ms
(cbrt (+ (+ x y) y))
5.0ms
(cbrt (+ (+ x y) y))
5.0ms
(cbrt (+ (+ x y) y))

series134.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
30.0ms
(cbrt (+ (+ x y) y))
34.0ms
(cbrt (+ (+ x y) y))
30.0ms
(cbrt (+ (+ x y) y))

simplify135.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
03001023
1919972
24483849
35001823

prune110.0ms

Filtered
117 candidates to 75 candidates (35.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done022
Total1175122

Merged error: 0.0b

Counts
122 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x y) y) x)
0.0b
(+ (+ x y) y)
0.0b
(+ (+ x y) y)
0.3b
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
72×distribute-lft-out
54×sqrt-prod
24×add-sqr-sqrt
23×swap-sqr add-log-exp
19×pow1
12×add-cube-cbrt sqrt-div sum-log
9×flip3-+ associate-*r* associate-*l* flip-+
8×sqrt-pow1 pow1/2
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×+-commutative associate-+l+ pow-prod-down pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
8.0ms
(+ (+ (+ x y) y) x)
6.0ms
(+ (+ x y) y)
8.0ms
(+ (+ x y) y)
37.0ms
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (+ (+ x y) y) x)
4.0ms
(+ (+ x y) y)
4.0ms
(+ (+ x y) y)
11.0ms
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0282734
11226640
25001612

prune80.0ms

Filtered
137 candidates to 63 candidates (54.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1361137
Fresh011
Picked011
Done033
Total1366142

Merged error: 0.0b

Counts
142 → 6

regimes210.0ms

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
0134
1134

end0.0ms

sample507.0ms

Algorithm
intervals
Results
195.0ms7445×body80valid
20.0ms169×body1280valid
18.0ms180×body640valid
8.0ms111×body320valid
6.0ms40×body2560valid
3.0ms63×body160valid

Profiling

Loading profile data...