Details

Time bar (total: 4.6s)

analyze885.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms173×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04815
14815

prune11.0ms

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: 24.2b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

2.9b
(* x (/ x (* y y)))
4.8b
(* z (/ z (* t t)))
10.1b
(/ z (* t t))
11.9b
(/ x (* y y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* x (/ x (* y y)))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ z (* t t))
4.0ms
(/ x (* y y))

series20.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ x (* y y)))
5.0ms
(* z (/ z (* t t)))
5.0ms
(/ z (* t t))
5.0ms
(/ x (* y y))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05409716

prune171.0ms

Filtered
68 candidates to 110 candidates (-61.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New9218110
Fresh011
Picked101
Done000
Total9319112

Merged error: 0.6b

Counts
112 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
0.3b
(* (/ x y) (/ x y))
4.8b
(* z (/ z (* t t)))
10.1b
(/ z (* t t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×associate-*r/ div-inv add-log-exp unswap-sqr
3×frac-add associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up flip-+
Counts
4 → 130
Calls
4 calls:
8.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
9.0ms
(* (/ x y) (/ x y))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ z (* t t))

series39.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(* z (/ z (* t t)))
5.0ms
(/ z (* t t))

simplify48.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055371196

prune197.0ms

Filtered
90 candidates to 142 candidates (-57.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1357142
Fresh61218
Picked101
Done000
Total14219161

Merged error: 0.0b

Counts
161 → 19

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
0.1b
(/ (/ z t) t)
0.3b
(* (/ x y) (/ x y))
4.8b
(* z (/ (/ z t) t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
184×times-frac
131×add-sqr-sqrt
110×add-cube-cbrt *-un-lft-identity
56×associate-*r*
30×add-exp-log add-cbrt-cube
16×associate-*l*
13×pow1 swap-sqr div-inv associate-/l*
10×cbrt-undiv div-exp
7×prod-exp cbrt-unprod unswap-sqr
6×associate-*r/ add-log-exp
3×frac-add associate-/r*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num sum-log pow-sqr pow-prod-up flip-+ associate-/l/
Counts
4 → 216
Calls
4 calls:
8.0ms
(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
6.0ms
(/ (/ z t) t)
10.0ms
(* (/ x y) (/ x y))
14.0ms
(* z (/ (/ z t) t))

series40.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
5.0ms
(/ (/ z t) t)
5.0ms
(* (/ x y) (/ x y))
5.0ms
(* z (/ (/ z t) t))

simplify80.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049612110
149612110

prune264.0ms

Filtered
163 candidates to 228 candidates (-39.9%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New2235228
Fresh41418
Picked101
Done000
Total22819247

Merged error: 0.0b

Counts
247 → 19

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)

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 t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt t) (cbrt t))
24.0ms
(cbrt t)
22.0ms
(cbrt t)
22.0ms
(cbrt t)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune74.0ms

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

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh11718
Picked011
Done000
Total8519104

Merged error: 0.0b

Counts
104 → 19

regimes1.4s

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11522

end0.0ms

sample1.0s

Algorithm
intervals
Results
368.0ms8000×body80valid
274.0ms6005×body80invalid

Profiling

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