Details

Time bar (total: 4.9s)

sample36.0ms

Algorithm
intervals
Results
13.0ms337×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
9.0ms
(- (* x y) (* z t))
23.0ms
(/ (- (* x y) (* z t)) a)

series121.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (* x y) (* z t))
67.0ms
(/ (- (* x y) (* z t)) a)

simplify69.0ms

Counts
48 → 48

prune174.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.8b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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

series141.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* x y) (* z t))
85.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify33.0ms

Counts
58 → 58

prune211.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.8b

localize16.0ms

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)))

rewrite60.0ms

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:
9.0ms
(- (* x y) (* z t))
27.0ms
(/ 1 (/ a (- (* x y) (* z t))))
19.0ms
(/ a (- (* x y) (* z t)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* x y) (* z t))
121.0ms
(/ 1 (/ a (- (* x y) (* z t))))
52.0ms
(/ a (- (* x y) (* z t)))

simplify52.0ms

Counts
134 → 134

prune439.0ms

Pruning

11 alts after pruning (10 fresh and 1 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))))

rewrite132.0ms

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:
9.0ms
(- (* x y) (* z t))
41.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
25.0ms
(/ 1 (- (* x y) (* z t)))
51.0ms
(* a (/ 1 (- (* x y) (* z t))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* x y) (* z t))
90.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
36.0ms
(/ 1 (- (* x y) (* z t)))
47.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify41.0ms

Counts
135 → 135

prune321.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.8b

regimes387.0ms

Accuracy

20.3% (0.3b remaining)

Error of 8.0b against oracle of 7.7b and baseline of 8.1b

bsearch0.0ms

simplify177.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
980.0ms11072×body80valid