Details

Time bar (total: 4.3s)

sample75.0ms

Algorithm
intervals
Results
25.0ms52×body1280valid
13.0ms44×body640valid
8.0ms159×body80valid
6.0ms31×body320valid
5.0ms120×body80nan
1.0ms12×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (6.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

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: 11.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.8b
(pow (/ x (+ x y)) x)

rewrite16.0ms

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:
8.0ms
(/ x (+ x y))
6.0ms
(pow (/ x (+ x y)) x)

series23.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ x (+ x y))
18.0ms
(pow (/ x (+ x y)) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0451502
12027479
25002474

prune125.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New65772
Fresh000
Picked101
Done000
Total66773

Merged error: 1.3b

Counts
73 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite23.0ms

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)
17.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series102.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
21.0ms
(cbrt x)
35.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0540774
11876714
25002668

prune125.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh246
Picked101
Done000
Total77683

Merged error: 0.8b

Counts
83 → 6

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)

series96.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ x y))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify173.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0167258
1354240
2998202
34983195
45003195

prune90.0ms

Filtered
47 candidates to 59 candidates (-25.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done000
Total59665

Merged error: 0.8b

Counts
65 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
24.3b
(pow (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
111×unpow-prod-down
92×cbrt-div
89×*-un-lft-identity
72×cbrt-prod
58×associate-/r/
53×add-sqr-sqrt add-cube-cbrt
46×flip3-+ flip-+
28×frac-times
18×distribute-lft-out
14×add-exp-log associate-*r/ associate-*l/
8×div-inv
5×pow1 div-exp
4×pow-exp add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
1×pow-to-exp pow-pow prod-exp sqr-pow
Counts
4 → 170
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
25.0ms
(pow (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) x)

series114.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
20.0ms
(pow (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))) x)

simplify108.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
012473137
144603096
250013018

prune405.0ms

Filtered
120 candidates to 182 candidates (-51.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh044
Picked011
Done011
Total1826188

Merged error: 0.8b

Counts
188 → 6

regimes113.0ms

Accuracy

22.7% (3.8b remaining)

Error of 4.7b against oracle of 1.0b and baseline of 5.8b

bsearch81.0ms

Steps
ItersRangePoint
10
5.679136238512525e+114
1.8629109761167987e+126
2.831616276443697e+120
6
5.985814732535323e-05
0.0004165958036720772
0.00041136023726528613

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02629
12629

end0.0ms

sample2.3s

Algorithm
intervals
Results
818.0ms1551×body1280valid
470.0ms1492×body640valid
280.0ms4797×body80valid
175.0ms824×body320valid
135.0ms3094×body80nan
56.0ms436×body160valid

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