Details

Time bar (total: 12.1s)

sample51.0ms

Algorithm
intervals
Results
19.0ms361×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.1b
(/ (- (* x y) (* z t)) a)

rewrite28.0ms

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:
8.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

series111.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
67.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune165.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.1b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite72.0ms

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))
51.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series136.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x y) (* z t))
76.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.5s

Counts
58 → 58
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0106832
1292771
21861644
done5000638

prune214.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.6b
(/ 1 (/ a (- (* x y) (* z t))))
7.1b
(/ a (- (* x y) (* z t)))

rewrite71.0ms

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
(- (* x y) (* z t))
40.0ms
(/ 1 (/ a (- (* x y) (* z t))))
18.0ms
(/ a (- (* x y) (* z t)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x y) (* z t))
131.0ms
(/ 1 (/ a (- (* x y) (* z t))))
77.0ms
(/ a (- (* x y) (* z t)))

simplify1.6s

Counts
134 → 134
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01872490
14872241
224022098
done50011998

prune324.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.6b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.8b
(/ 1 (- (* x y) (* z t)))
6.3b
(* a (/ 1 (- (* x y) (* z t))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
4×associate-/r* cbrt-unprod
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 123
Calls
4 calls:
8.0ms
(- (* x y) (* z t))
46.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
31.0ms
(/ 1 (- (* x y) (* z t)))
45.0ms
(* a (/ 1 (- (* x y) (* z t))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* x y) (* z t))
142.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
40.0ms
(/ 1 (- (* x y) (* z t)))
60.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify1.3s

Counts
135 → 135
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01521886
14341605
220751401
done50011395

prune326.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.1b

regimes659.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.4b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.8s

Algorithm
intervals
Results
952.0ms11020×body80valid