Details

Time bar (total: 13.8s)

sample55.0ms

Algorithm
intervals
Results
21.0ms361×body80valid

simplify78.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
6.8b
(/ (- (* x y) (* z t)) a)

rewrite40.0ms

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:
13.0ms
(- (* x y) (* z t))
25.0ms
(/ (- (* x y) (* z t)) a)

series138.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* x y) (* z t))
66.0ms
(/ (- (* x y) (* z t)) a)

simplify1.3s

Counts
48 → 48

prune163.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
6.9b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite63.0ms

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:
9.0ms
(- (* x y) (* z t))
52.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series133.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x y) (* z t))
85.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify639.0ms

Counts
58 → 58

prune225.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
6.8b
(/ a (- (* x y) (* z t)))

rewrite88.0ms

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:
43.0ms
(/ 1 (/ a (- (* x y) (* z t))))
13.0ms
(- (* x y) (* z t))
22.0ms
(/ a (- (* x y) (* z t)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(/ 1 (/ a (- (* x y) (* z t))))
69.0ms
(- (* x y) (* z t))
68.0ms
(/ a (- (* x y) (* z t)))

simplify734.0ms

Counts
134 → 134

prune463.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (- (* x y) (* z t)))
0.5b
(- (* x y) (* z t))
7.0b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite106.0ms

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:
17.0ms
(/ 1 (- (* x y) (* z t)))
9.0ms
(- (* x y) (* z t))
46.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series206.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- (* x y) (* z t)))
75.0ms
(- (* x y) (* z t))
90.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify775.0ms

Counts
309 → 309

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.9b

regimes615.0ms

Accuracy

19.9% (0.3b remaining)

Error of 7.2b against oracle of 6.9b and baseline of 7.3b

bsearch0.0ms

simplify5.0s

end0.0ms

sample1.5s

Algorithm
intervals
Results
638.0ms11132×body80valid