Details

Time bar (total: 2.4s)

sample22.0ms

Algorithm
intervals
Results
7.0ms236×body80valid
1.0ms9×body1280valid
1.0ms5×body640valid
0.0ms2×body2560valid
0.0ms4×body160valid
0.0ms2×body320valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01489
11489

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
8.0ms
(+ x (+ (* (+ x y) 2) z))

series7.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05369207

prune38.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New13417
Fresh000
Picked101
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

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) 2))
6.0ms
(+ (+ x (* (+ x y) 2)) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ x (* (+ x y) 2))
6.0ms
(+ (+ x (* (+ x y) 2)) z)

simplify25.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
04846348
14846348

prune44.0ms

Filtered
20 candidates to 31 candidates (-55.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh123
Picked011
Done000
Total31435

Merged error: 0.0b

Counts
35 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.6b
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×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 → 95
Calls
4 calls:
10.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
19.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
47.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
50.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
62.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))

simplify30.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050031912

prune256.0ms

Filtered
82 candidates to 107 candidates (-30.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh022
Picked011
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))) (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))))
0.6b
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
0.6b
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
0.6b
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
42×*-un-lft-identity
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
22.0ms
(* (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))) (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))))
8.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
12.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
8.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))) (cbrt (cbrt (+ x (+ (* 2 (+ x y)) z)))))
59.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
60.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))
57.0ms
(cbrt (cbrt (+ x (+ (* 2 (+ x y)) z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
052272799

prune477.0ms

Filtered
95 candidates to 130 candidates (-36.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1291130
Fresh044
Picked011
Done022
Total1298137

Merged error: 0.0b

Counts
137 → 8

regimes233.0ms

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

sample583.0ms

Algorithm
intervals
Results
215.0ms7429×body80valid
23.0ms178×body1280valid
20.0ms190×body640valid
10.0ms128×body320valid
5.0ms32×body2560valid
3.0ms66×body160valid

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