Details

Time bar (total: 14.0s)

sample26.0ms

Algorithm
intervals
Results
12.0ms352×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x y) (* z t))
50.0ms
(/ (- (* x y) (* z t)) a)

simplify960.0ms

Counts
48 → 48
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
080652
1207632
2709582
32515582
done5001581

prune126.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite22.0ms

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
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod
1×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:
2.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x y) (* z t))
48.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.5s

Counts
58 → 58
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
0106832
1282746
21041638
33738638
done5000638

prune139.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
5.4b
(/ a (- (* x y) (* z t)))

rewrite22.0ms

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
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
10.0ms
(/ 1 (/ a (- (* x y) (* z t))))
3.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ 1 (/ a (- (* x y) (* z t))))
38.0ms
(- (* x y) (* z t))
40.0ms
(/ a (- (* x y) (* z t)))

simplify3.1s

Counts
134 → 134
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01872490
14402289
214872032
339491998
done50001997

prune239.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- (* x y) (* t z)) a))
0.4b
(/ 1 (/ 1 (/ (- (* x y) (* t z)) a)))
0.5b
(- (* x y) (* t z))
5.4b
(/ (- (* x y) (* t z)) a)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
239×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×add-exp-log associate-/r*
43×div-exp
23×div-inv
20×add-cbrt-cube
15×rec-exp 1-exp
10×cbrt-undiv
9×associate-/l*
7×pow1
6×associate-/r/ add-log-exp
5×pow-flip
3×frac-2neg clear-num inv-pow
2×flip3-- flip-- associate-/l/
1×sub-neg diff-log div-sub remove-double-div
Counts
4 → 337
Calls
4 calls:
8.0ms
(/ 1 (/ (- (* x y) (* t z)) a))
19.0ms
(/ 1 (/ 1 (/ (- (* x y) (* t z)) a)))
3.0ms
(- (* x y) (* t z))
7.0ms
(/ (- (* x y) (* t z)) a)

series198.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 1 (/ (- (* x y) (* t z)) a))
49.0ms
(/ 1 (/ 1 (/ (- (* x y) (* t z)) a)))
38.0ms
(- (* x y) (* t z))
52.0ms
(/ (- (* x y) (* t z)) a)

simplify4.8s

Counts
349 → 349
Iterations

Useful iterations: 2 (538.0ms)

IterNodesCost
04377984
110696732
233295374
done50005374

prune399.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.4b

regimes427.0ms

Accuracy

37.5% (2.2b remaining)

Error of 6.1b against oracle of 3.9b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02030
12430
done2430

end0.0ms

sample633.0ms

Algorithm
intervals
Results
314.0ms11185×body80valid