Details

Time bar (total: 2.8s)

analyze280.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80invalid

simplify272.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* 3 (* z z)) (* x y))
3.0ms
(* 3 (* z z))

simplify113.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0166163
1617147
22424143
35003143

prune72.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
8.0ms
(+ (* (* 3 z) z) (* x y))
8.0ms
(* (* 3 z) z)

series18.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* (* 3 z) z) (* x y))
5.0ms
(* (* 3 z) z)

simplify147.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0175161
1815145
24087142
35001141

prune65.0ms

Filtered
20 candidates to 35 candidates (-75.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New33235
Fresh123
Picked011
Done011
Total34640

Merged error: 0.0b

Counts
40 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.3b
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
21.0b
(sqrt (* (* 3 z) z))
21.0b
(sqrt (* (* 3 z) z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
8.0ms
(* (* 3 z) z)
20.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
6.0ms
(sqrt (* (* 3 z) z))
6.0ms
(sqrt (* (* 3 z) z))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3 z) z)
7.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
3.0ms
(sqrt (* (* 3 z) z))
4.0ms
(sqrt (* (* 3 z) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0178365
1984307
25002269

prune159.0ms

Filtered
52 candidates to 120 candidates (-130.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1182120
Fresh033
Picked011
Done022
Total1188126

Merged error: 0.0b

Counts
126 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.5b
(pow (sqrt (sqrt (* (* 3 z) z))) 3)
21.0b
(sqrt (* (* 3 z) z))
21.0b
(sqrt (* (* 3 z) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
14×sqrt-pow1
12×pow-prod-down sqrt-prod
10×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
unpow-prod-down pow-pow cube-prod
pow1/2 add-log-exp
pow-unpow associate-*r* prod-exp cbrt-unprod
cube-mult pow-to-exp unpow3 associate-*l* pow-exp *-commutative sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 80
Calls
4 calls:
8.0ms
(* (* 3 z) z)
11.0ms
(pow (sqrt (sqrt (* (* 3 z) z))) 3)
6.0ms
(sqrt (* (* 3 z) z))
6.0ms
(sqrt (* (* 3 z) z))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* 3 z) z)
11.0ms
(pow (sqrt (sqrt (* (* 3 z) z))) 3)
3.0ms
(sqrt (* (* 3 z) z))
4.0ms
(sqrt (* (* 3 z) z))

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0335437
11627402
25002384

prune152.0ms

Filtered
52 candidates to 92 candidates (-76.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done033
Total928100

Merged error: 0.0b

Counts
100 → 8

regimes383.0ms

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

analyze278.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14

sample498.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
16.0ms466×body80invalid

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