Details

Time bar (total: 14.2s)

sample32.0ms

Algorithm
intervals
Results
12.0ms351×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.8b
(- (* x y) (* z t))
8.4b
(/ (- (* x y) (* z t)) a)

rewrite38.0ms

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))
28.0ms
(/ (- (* x y) (* z t)) a)

series134.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (* x y) (* z t))
74.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune170.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b
(- (* x y) (* z t))
8.5b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite79.0ms

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:
10.0ms
(- (* x y) (* z t))
67.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series147.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x y) (* z t))
85.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.2s

Counts
58 → 58
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
0106832
1271728
2802638
33106638
done5002638

prune222.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.8b
(- (* x y) (* z t))
8.4b
(/ a (- (* x y) (* z t)))

rewrite87.0ms

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:
40.0ms
(/ 1 (/ a (- (* x y) (* z t))))
16.0ms
(- (* x y) (* z t))
25.0ms
(/ a (- (* x y) (* z t)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(/ 1 (/ a (- (* x y) (* z t))))
78.0ms
(- (* x y) (* z t))
50.0ms
(/ a (- (* x y) (* z t)))

simplify2.7s

Counts
134 → 134
Iterations

Useful iterations: 3 (883.0ms)

IterNodesCost
01872490
14162241
29362032
328011998
done50011998

prune413.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (- (* x y) (* z t)))
0.8b
(- (* x y) (* z t))
8.2b
(/ (/ 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:
31.0ms
(/ 1 (- (* x y) (* z t)))
16.0ms
(- (* x y) (* z t))
68.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series224.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- (* x y) (* z t)))
57.0ms
(- (* x y) (* z t))
118.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify1.8s

Counts
309 → 309
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04608313
112526684
222496050
done50005974

prune465.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 8.6b

regimes664.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.5s

Algorithm
intervals
Results
624.0ms11103×body80valid