Details

Time bar (total: 1.9s)

analyze276.0ms

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

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0409
1409

prune9.0ms

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 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) (* z (* z 3)))
5.0ms
(* z (* z 3))

series14.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05454285

prune46.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh011
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
4.0ms
(+ (* x y) (* z z))
6.0ms
(+ (+ (* x y) (* z z)) (* z z))
9.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series34.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (* x y) (* z z))
13.0ms
(+ (+ (* x y) (* z z)) (* z z))
12.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify49.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04862519
14862519

prune56.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh033
Picked011
Done011
Total46652

Merged error: 0.0b

Counts
52 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
20.5b
(cbrt (* z (* z 3)))
20.5b
(cbrt (* z (* z 3)))
20.5b
(cbrt (* z (* z 3)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
3.0ms
(cbrt (* z (* z 3)))
3.0ms
(cbrt (* z (* z 3)))
4.0ms
(cbrt (* z (* z 3)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
25.0ms
(cbrt (* z (* z 3)))
27.0ms
(cbrt (* z (* z 3)))
26.0ms
(cbrt (* z (* z 3)))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05515473

prune115.0ms

Filtered
48 candidates to 70 candidates (-45.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done022
Total70676

Merged error: 0.0b

Counts
76 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
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*
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 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune72.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done033
Total85691

Merged error: 0.0b

Counts
91 → 6

regimes316.0ms

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
0129
1129

end0.0ms

sample432.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
13.0ms427×body80invalid

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