Details

Time bar (total: 2.3s)

analyze316.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms14×body80invalid

simplify276.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0157
1256
2374
3474
4564
5894
61584
72084
82214
93164
106464
1131854
1250034

prune7.0ms

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: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* z z)) (* x y))
0.2b
(* 3 (* z z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (* 3 (* z z)) (* x y))
5.0ms
(* 3 (* z z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* 3 (* z z)) (* x y))
5.0ms
(* 3 (* z z))

simplify78.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune42.0ms

Filtered
23 candidates to 36 candidates (-56.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 z) z) (* x y))
0.2b
(* (* 3 z) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* (* 3 z) z) (* x y))
4.0ms
(* (* 3 z) z)

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* (* 3 z) z) (* x y))
3.0ms
(* (* 3 z) z)

simplify129.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune37.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh011
Picked011
Done011
Total34438

Merged error: 0b

Counts
38 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
11.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
12.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms
(* (cbrt 3) (* z z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
9.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
5.0ms
(* (cbrt 3) (* z z))

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0265553
11032424
25002368

prune86.0ms

Filtered
38 candidates to 71 candidates (-86.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done022
Total71475

Merged error: 0b

Counts
75 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (pow z 3/2) 3) (sqrt z)) (* x y))
0.1b
(* (* (pow z 3/2) 3) (sqrt z))
0.1b
(* (pow z 3/2) 3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×prod-exp add-cbrt-cube
associate-*r*
add-cube-cbrt *-un-lft-identity associate-*l*
pow1 add-log-exp
unpow-prod-down cbrt-unprod
sqrt-prod unswap-sqr
pow-to-exp pow-exp *-commutative sqr-pow
+-commutative flip3-+ pow-prod-down sum-log flip-+
Counts
3 → 58
Calls
3 calls:
6.0ms
(+ (* (* (pow z 3/2) 3) (sqrt z)) (* x y))
6.0ms
(* (* (pow z 3/2) 3) (sqrt z))
5.0ms
(* (pow z 3/2) 3)

series26.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* (* (pow z 3/2) 3) (sqrt z)) (* x y))
6.0ms
(* (* (pow z 3/2) 3) (sqrt z))
5.0ms
(* (pow z 3/2) 3)

simplify69.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0367378
11954347
25002345

prune83.0ms

Filtered
47 candidates to 67 candidates (-42.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done033
Total67471

Merged error: 0b

Counts
71 → 4

regimes264.0ms

Accuracy

0% (0.1b 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

analyze270.0ms

Algorithm
search

sample404.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
18.0ms474×body80invalid

Profiling

Loading profile data...