Details

Time bar (total: 2.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms239×body80valid
1.0ms7×body1280valid
0.0ms6×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune39.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite37.0ms

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
8×add-cbrt-cube
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times cbrt-unprod 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
Counts
4 → 98
Calls
4 calls:
18.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03791552
112701450
250011311

prune298.0ms

Filtered
110 candidates to 75 candidates (68.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1055110
Fresh033
Picked101
Done011
Total1069115

Merged error: 0.0b

Counts
115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0206844
1579800
22056788
35001776

prune293.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh077
Picked011
Done011
Total68977

Merged error: 0.0b

Counts
77 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.9b
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
19×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
10×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 67
Calls
4 calls:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

series257.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
95.0ms
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

simplify50.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413979
11382930
25002906

prune282.0ms

Filtered
79 candidates to 61 candidates (77.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh066
Picked011
Done022
Total79988

Merged error: 0.0b

Counts
88 → 9

regimes113.0ms

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
084
184

end0.0ms

sample303.0ms

Algorithm
intervals
Results
155.0ms7667×body80valid
11.0ms127×body1280valid
6.0ms87×body640valid
5.0ms43×body2560valid
3.0ms49×body320valid
1.0ms27×body160valid