Details

Time bar (total: 9.8s)

sample28.0ms

Algorithm
intervals
Results
14.0ms234×body80valid
1.0ms5×body1280valid
1.0ms6×body640valid
1.0ms5×body320valid
1.0ms2×body2560valid
1.0ms5×body160valid

simplify340.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

series26.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify41.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0275199
11174190
25001185

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite139.0ms

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:
92.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
14.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
275.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
272.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
280.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05063272
120143193
250013127

prune783.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
276×cbrt-div
150×flip3-+ flip-+
132×associate-*r/
120×frac-add
72×frac-times
12×associate-*l/
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 148
Calls
4 calls:
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)))))
33.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
272.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
464.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
470.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05605180
115495108
250015098

prune861.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
528×cbrt-div
280×flip3-+ flip-+
248×associate-*r/
224×frac-add
144×frac-times
24×associate-*l/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 228
Calls
4 calls:
33.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
30.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
30.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
33.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
481.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
489.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
483.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
471.0ms
(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05079324
114099224
250019216

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

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

sample749.0ms

Algorithm
intervals
Results
455.0ms7406×body80valid
43.0ms202×body640valid
43.0ms173×body1280valid
18.0ms122×body320valid
12.0ms42×body2560valid
7.0ms71×body160valid