Details

Time bar (total: 15.7s)

sample30.0ms

Algorithm
intervals
Results
11.0ms337×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
9.6b
(/ (- (* x y) (* z t)) a)

rewrite29.0ms

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:
8.0ms
(- (* x y) (* z t))
20.0ms
(/ (- (* x y) (* z t)) a)

series107.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
62.0ms
(/ (- (* x y) (* z t)) a)

simplify2.2s

Counts
48 → 48
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune149.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
9.7b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite59.0ms

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:
8.0ms
(- (* x y) (* z t))
49.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series139.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (* x y) (* z t))
81.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.2s

Counts
58 → 58
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0106832
1271728
2802638
33106638
done5002638

prune214.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
9.7b
(/ a (- (* x y) (* z t)))

rewrite77.0ms

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:
8.0ms
(- (* x y) (* z t))
37.0ms
(/ 1 (/ a (- (* x y) (* z t))))
27.0ms
(/ a (- (* x y) (* z t)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x y) (* z t))
118.0ms
(/ 1 (/ a (- (* x y) (* z t))))
55.0ms
(/ a (- (* x y) (* z t)))

simplify2.6s

Counts
134 → 134
Iterations

Useful iterations: 3 (842.0ms)

IterNodesCost
01872490
14162241
29362032
328071998
done50011998

prune355.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* x y) (* z t))
0.3b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
1.0b
(/ 1 (- (* x y) (* z t)))
8.4b
(* a (/ 1 (- (* x y) (* z t))))

rewrite155.0ms

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
cbrt-undiv associate-/r/ associate-/l* add-log-exp
associate-/r* cbrt-unprod
flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
sub-neg diff-log *-commutative
Counts
4 → 123
Calls
4 calls:
19.0ms
(- (* x y) (* z t))
51.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
16.0ms
(/ 1 (- (* x y) (* z t)))
61.0ms
(* a (/ 1 (- (* x y) (* z t))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* x y) (* z t))
96.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
59.0ms
(/ 1 (- (* x y) (* z t)))
75.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify3.1s

Counts
135 → 135
Iterations

Useful iterations: 3 (995.0ms)

IterNodesCost
01521886
13671595
28591357
324651349
done50001349

prune344.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.8b

regimes597.0ms

Accuracy

0% (0.3b remaining)

Error of 8.0b against oracle of 7.7b and baseline of 8.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.6s

Algorithm
intervals
Results
668.0ms11072×body80valid