Details

Time bar (total: 12.5s)

sample33.0ms

Algorithm
intervals
Results
16.0ms351×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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

series104.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x y) (* z t))
59.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune133.0ms

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))

rewrite55.0ms

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))
43.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series127.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x y) (* z t))
74.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.5s

Counts
58 → 58
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
0106832
1271728
2802638
33106638
done5002638

prune135.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

localize16.0ms

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)))

rewrite75.0ms

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:
34.0ms
(/ 1 (/ a (- (* x y) (* z t))))
12.0ms
(- (* x y) (* z t))
21.0ms
(/ a (- (* x y) (* z t)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(/ 1 (/ a (- (* x y) (* z t))))
66.0ms
(- (* x y) (* z t))
65.0ms
(/ a (- (* x y) (* z t)))

simplify2.4s

Counts
134 → 134
Iterations

Useful iterations: 3 (867.0ms)

IterNodesCost
01872490
14162241
29362032
328011998
done50011998

prune318.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.6b

localize18.0ms

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))))

rewrite122.0ms

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:
26.0ms
(/ 1 (- (* x y) (* z t)))
13.0ms
(- (* x y) (* z t))
52.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series212.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- (* x y) (* z t)))
51.0ms
(- (* x y) (* z t))
111.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify1.4s

Counts
309 → 309
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04608313
112526684
222496050
done50005974

prune470.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 8.6b

regimes536.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.7s

Algorithm
intervals
Results
729.0ms11103×body80valid