Details

Time bar (total: 7.5s)

sample39.0ms

Algorithm
intervals
Results
13.0ms352×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z t))
7.8b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
6.0ms
(/ (- (* x y) (* z t)) a)

series29.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (* x y) (* z t))
17.0ms
(/ (- (* x y) (* z t)) a)

simplify644.0ms

Counts
48 → 48
Iterations

Useful iterations: done (643.0ms)

IterNodesCost
080652
1207632
2673584
32265582
done5000581

prune102.0ms

Filtered
37 candidates to 48 candidates (-29.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New371148
Fresh000
Picked011
Done000
Total371249

Merged error: 7.9b

Counts
49 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z t))
7.9b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
10.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series31.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (* x y) (* z t))
19.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.2s

Counts
58 → 58
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0106832
1282756
21013646
34030640
done5001638

prune97.0ms

Filtered
38 candidates to 58 candidates (-52.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New56258
Fresh1910
Picked011
Done011
Total571370

Merged error: 7.9b

Counts
70 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* z t))
0.5b
(/ 1 (/ a (- (* x y) (* z t))))
7.8b
(/ a (- (* x y) (* z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
6.0ms
(- (* x y) (* z t))
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
6.0ms
(/ a (- (* x y) (* z t)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (* x y) (* z t))
25.0ms
(/ 1 (/ a (- (* x y) (* z t))))
17.0ms
(/ a (- (* x y) (* z t)))

simplify1.5s

Counts
134 → 134
Iterations

Useful iterations: 3 (692.0ms)

IterNodesCost
01872490
14422303
214502143
349662002
done50002002

prune132.0ms

Filtered
80 candidates to 134 candidates (-67.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1322134
Fresh3710
Picked101
Done022
Total13611147

Merged error: 7.9b

Counts
147 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* z t))
0.7b
(/ 1 (- (* x y) (* z t)))
7.2b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/r*
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
cbrt-undiv rec-exp 1-exp
add-log-exp
pow1
frac-2neg clear-num
sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
4.0ms
(- (* x y) (* z t))
6.0ms
(/ 1 (- (* x y) (* z t)))
16.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series54.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (* x y) (* z t))
13.0ms
(/ 1 (- (* x y) (* z t)))
25.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify1.1s

Counts
309 → 309
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04608313
113877283
244916309
done50006144

prune171.0ms

Filtered
115 candidates to 309 candidates (-168.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3090309
Fresh088
Picked011
Done022
Total30911320

Merged error: 7.9b

Counts
320 → 11

regimes849.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.5b and baseline of 7.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.3s

Algorithm
intervals
Results
644.0ms11263×body80valid

Profiling

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