Details

Time bar (total: 8.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms246×body80valid
0.0ms4×body640valid
0.0ms3×body1280valid
0.0ms2×body2560valid
0.0ms2×body320valid

simplify300.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239214
1350014

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r/ frac-add
3×sum-log
2×associate-+l+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube
Counts
1 → 19
Calls
1 calls:
12.0ms
(+ (* 2 (+ x y)) (+ x z))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify35.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0275199
11174190
25001185

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
96.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
240.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
235.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
237.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05063272
120143193
250013127

prune519.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 108
Calls
4 calls:
13.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
31.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
246.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
239.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
414.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05603108
115493050
250013039

prune578.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
576×cbrt-div
280×flip3-+ flip-+
248×associate-*r/
224×frac-add
144×frac-times
24×associate-*l/
8×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 231
Calls
4 calls:
12.0ms
(cbrt (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))))
31.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
34.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
32.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.7s

Counts
4 → 12
Calls
4 calls:
427.0ms
(cbrt (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))))
424.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
417.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
418.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
06579516
116579414
250019402

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

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
0124
1124

end0.0ms

sample373.0ms

Algorithm
intervals
Results
164.0ms7399×body80valid
18.0ms199×body640valid
17.0ms178×body1280valid
7.0ms123×body320valid
4.0ms31×body2560valid
3.0ms81×body160valid