Details

Time bar (total: 4.0s)

sample78.0ms

Algorithm
intervals
Results
25.0ms52×body1280valid
15.0ms52×body640valid
8.0ms157×body80valid
6.0ms30×body320valid
5.0ms128×body80nan
2.0ms20×body160valid

simplify110.0ms

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: 10.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
6.4b
(pow (/ x (+ x y)) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
10.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
6.0ms
(pow (/ x (+ x y)) x)

series45.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
17.0ms
(pow (/ x (+ x y)) x)

simplify93.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07521628
137871586
250011586

prune218.0ms

Filtered
181 candidates to 134 candidates (26.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1738181
Fresh000
Picked101
Done000
Total1748182

Merged error: 1.0b

Counts
182 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.3b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series106.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
25.0ms
(cbrt x)
25.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
09771596
135001507
250021470

prune178.0ms

Filtered
128 candidates to 88 candidates (31.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh257
Picked101
Done000
Total1306136

Merged error: 1.0b

Counts
136 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.6b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 144
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
7.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
25.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
23.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify72.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07781627
126531569
250011544

prune198.0ms

Filtered
156 candidates to 103 candidates (34.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done000
Total1566162

Merged error: 1.0b

Counts
162 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.4b
(pow (/ x (+ x y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3 distribute-lft-out
2×pow-exp associate-/r/
1×pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(pow (/ x (+ x y)) x)

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)
17.0ms
(pow (/ x (+ x y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0458502
11828464
25002416

prune89.0ms

Filtered
78 candidates to 59 candidates (24.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh134
Picked101
Done011
Total77784

Merged error: 1.0b

Counts
84 → 7

regimes121.0ms

Accuracy

18.5% (3.8b remaining)

Error of 4.7b against oracle of 0.9b and baseline of 5.6b

bsearch91.0ms

Steps
ItersRangePoint
10
1.586094823133401e+160
1.8254345577955567e+173
2.7290368280004027e+161
10
19120603049.989376
2.9434032555578894e+20
19404822192.444565

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03727
13727

end0.0ms

sample2.2s

Algorithm
intervals
Results
776.0ms1558×body1280valid
425.0ms1441×body640valid
263.0ms4903×body80valid
161.0ms829×body320valid
130.0ms3182×body80nan
54.0ms430×body160valid

Profiling

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