Details

Time bar (total: 7.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms352×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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series93.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x y) (* z t))
49.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
48 → 48
Iterations

Useful iterations: done (1.1s)

IterNodesCost
080652
1202632
2614582
31971582
done5001581

prune134.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
3.0ms
(- (* x y) (* z t))
14.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
53.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.8s

Counts
58 → 58
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0106832
1276728
2792638
33124638
done5000638

prune135.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.4b

localize9.0ms

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)))

rewrite20.0ms

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:
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
2.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ 1 (/ a (- (* x y) (* z t))))
42.0ms
(- (* x y) (* z t))
36.0ms
(/ a (- (* x y) (* z t)))

simplify1.4s

Counts
134 → 134
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01872490
14272241
29572032
327631998
done50001997

prune250.0ms

Pruning

12 alts after pruning (10 fresh and 2 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)) a)

rewrite10.0ms

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:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series90.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
48.0ms
(/ (- (* x y) (* z t)) a)

simplify930.0ms

Counts
48 → 48
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
080652
1202632
2614582
31971582
done5001581

prune108.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.4b

regimes369.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.1b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
1169
done169

end0.0ms

sample656.0ms

Algorithm
intervals
Results
330.0ms11185×body80valid