Details

Time bar (total: 18.0s)

sample77.0ms

Algorithm
intervals
Results
30.0ms382×body80valid

simplify86.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize36.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
7.7b
(/ (- (* x y) (* z t)) a)

rewrite59.0ms

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:
17.0ms
(- (* x y) (* z t))
39.0ms
(/ (- (* x y) (* z t)) a)

series187.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(- (* x y) (* z t))
105.0ms
(/ (- (* x y) (* z t)) a)

simplify2.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (924.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune454.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.9b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
7.7b
(/ a (- (* x y) (* z t)))

rewrite100.0ms

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:
16.0ms
(- (* x y) (* z t))
46.0ms
(/ 1 (/ a (- (* x y) (* z t))))
27.0ms
(/ a (- (* x y) (* z t)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- (* x y) (* z t))
163.0ms
(/ 1 (/ a (- (* x y) (* z t))))
95.0ms
(/ a (- (* x y) (* z t)))

simplify2.4s

Counts
134 → 134
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01872490
14872241
224022098
done50011998

prune775.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
7.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite100.0ms

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:
17.0ms
(- (* x y) (* z t))
71.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series201.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(- (* x y) (* z t))
110.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.5s

Counts
58 → 58
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0106832
1292771
21861644
done5000638

prune417.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.9b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.7b
(/ 1 (- (* x y) (* z t)))
7.1b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite141.0ms

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*
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
15.0ms
(- (* x y) (* z t))
37.0ms
(/ 1 (- (* x y) (* z t)))
55.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series282.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (* x y) (* z t))
61.0ms
(/ 1 (- (* x y) (* z t)))
145.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify1.3s

Counts
309 → 309
Iterations

Useful iterations: done (1.3s)

IterNodesCost
04608313
116166936
done50016395

prune980.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.9b

regimes1.4s

Accuracy

0% (0.5b remaining)

Error of 7.8b against oracle of 7.3b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11511
done1511

end0.0ms

sample2.2s

Algorithm
intervals
Results
844.0ms11275×body80valid