Details

Time bar (total: 5.0s)

sample15.0ms

Algorithm
intervals
Results
5.0ms238×body80valid
1.0ms6×body1280valid
0.0ms6×body640valid
0.0ms4×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify303.0ms

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

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify35.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0275199
11174190
25001185

prune59.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

5 alts after pruning (4 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))))
0.6b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b
(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b
(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite137.0ms

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:
95.0ms
(* (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:
295.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
245.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
237.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
236.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05063272
120143193
250013127

prune494.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
20×flip3-+ flip-+
16×associate-*r/ frac-add
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 68
Calls
4 calls:
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
15.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
252.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
263.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
249.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03121036
11182992
25001980

prune359.0ms

Filtered
80 candidates to 76 candidates (95.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2 (+ x y)) (+ x z))
0.0b
(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b
(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.3b
(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×add-log-exp
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* associate-*l/ add-cbrt-cube
5×pow-prod-up
4×unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-+l+
1×+-commutative pow2 distribute-rgt-in associate-+r+ distribute-lft-in pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 154
Calls
4 calls:
12.0ms
(+ (* 2 (+ x y)) (+ x z))
22.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
21.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
95.0ms
(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* 2 (+ x y)) (+ x z))
62.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
58.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
60.0ms
(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify87.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05212866
122102777
250012756

prune423.0ms

Filtered
166 candidates to 100 candidates (60.2%)
Pruning

6 alts after pruning (2 fresh and 4 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

sample374.0ms

Algorithm
intervals
Results
175.0ms7453×body80valid
17.0ms169×body1280valid
12.0ms152×body640valid
8.0ms126×body320valid
6.0ms49×body2560valid
3.0ms65×body160valid