Details

Time bar (total: 4.1s)

sample83.0ms

Algorithm
intervals
Results
30.0ms47×body1280valid
12.0ms35×body640valid
10.0ms162×body80valid
6.0ms25×body320valid
5.0ms96×body80nan
3.0ms19×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (6.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune10.0ms

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: 9.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.1b
(pow (/ x (+ x y)) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 66
Calls
2 calls:
5.0ms
(/ x (+ x y))
6.0ms
(pow (/ x (+ x y)) x)

series22.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ x (+ x y))
17.0ms
(pow (/ x (+ x y)) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0451502
12027479
25002474

prune110.0ms

Filtered
72 candidates to 51 candidates (29.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0.4b

Counts
73 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×flip3-+ flip-+
5×pow1 pow-exp
4×frac-times div-exp prod-exp add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac div-inv sqr-pow
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series98.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)
34.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0540774
11876714
25002668

prune108.0ms

Filtered
76 candidates to 55 candidates (27.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh415
Picked101
Done000
Total79382

Merged error: 0.2b

Counts
82 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
3.0ms
(cbrt (+ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series93.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x y))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify170.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0167258
1354240
2998202
34983195
45003195

prune75.0ms

Filtered
59 candidates to 47 candidates (20.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done000
Total59362

Merged error: 0.2b

Counts
62 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
11.6b
(log (exp (cbrt x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
8×associate-/r/
7×log-pow
6×pow1 exp-prod flip3-+ flip-+
5×pow-exp
4×frac-times div-exp prod-exp add-cbrt-cube add-log-exp
3×pow-unpow log-prod
2×pow1/3 associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac rem-log-exp div-inv sqr-pow
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
23.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
3.0ms
(log (exp (cbrt x)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
34.0ms
(cbrt x)
66.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
37.0ms
(log (exp (cbrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0571799
11964735
25001689

prune109.0ms

Filtered
83 candidates to 60 candidates (27.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 0.2b

Counts
86 → 3

regimes104.0ms

Accuracy

0% (4.8b remaining)

Error of 5.6b against oracle of 0.8b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11218

end0.0ms

sample2.6s

Algorithm
intervals
Results
903.0ms1505×body1280valid
528.0ms1487×body640valid
314.0ms4934×body80valid
196.0ms828×body320valid
149.0ms3071×body80nan
63.0ms421×body160valid

Profiling

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