Details

Time bar (total: 2.9s)

analyze332.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
25%74.9%0.1%8
37.4%62.4%0.1%9
46.8%53%0.1%10
55%44.9%0.1%11
64.2%35.7%0.1%12
70.3%29.5%0.1%13
75.4%24.4%0.1%14

sample18.0ms

Algorithm
intervals
Results
7.0ms235×body80valid
1.0ms8×body1280valid
1.0ms8×body640valid
0.0ms2×body2560valid
0.0ms3×body320valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01489
11489

prune203.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
7.0ms
(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ x (+ (* (+ x y) 2) z))

simplify38.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05080204

prune29.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh101
Picked011
Done000
Total15419

Merged error: 0.0b

Counts
19 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
18.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
9.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
42.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
45.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
43.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
048321834
148321834

prune211.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1034107
Fresh022
Picked011
Done011
Total1038111

Merged error: 0.0b

Counts
111 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
19×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
7×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×flip3-+ flip-+
1×unpow2 sqr-pow
Counts
4 → 65
Calls
4 calls:
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
10.0ms
(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))

series206.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
44.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
51.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
70.0ms
(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))

simplify37.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049211222
149211222

prune240.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done022
Total77885

Merged error: 0.0b

Counts
85 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
18×*-un-lft-identity
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 62
Calls
4 calls:
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
8.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
44.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
52.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
53.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

simplify30.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050361188

prune221.0ms

Filtered
60 candidates to 74 candidates (-23.3%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New73174
Fresh044
Picked011
Done033
Total73982

Merged error: 0.0b

Counts
82 → 9

regimes233.0ms

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
0129
1129

end0.0ms

sample454.0ms

Algorithm
intervals
Results
219.0ms7410×body80valid
28.0ms190×body1280valid
19.0ms182×body640valid
10.0ms126×body320valid
6.0ms37×body2560valid
3.0ms55×body160valid
0.0ms10×body80invalid

Profiling

Loading profile data...