Details

Time bar (total: 12.2s)

sample54.0ms

Algorithm
intervals
Results
18.0ms325×body80valid

simplify66.0ms

Counts
1 → 1
Iterations
IterNodes
done79
479
367
237
116
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize18.0ms

Local error

Found 1 expressions with local error:

8.7b
(/ (* a1 a2) (* b1 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
20.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.5s

Counts
24 → 24
Iterations
IterNodes
done5000
2950
1162
055

prune155.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (* a1 a2) b1)
6.8b
(/ (/ (* a1 a2) b1) b2)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
8.0ms
(/ (* a1 a2) b1)
17.0ms
(/ (/ (* a1 a2) b1) b2)

series88.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (* a1 a2) b1)
45.0ms
(/ (/ (* a1 a2) b1) b2)

simplify866.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21632
1313
0122

prune451.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

3.5b
(* (* a1 a2) (/ 1 b1))
6.8b
(/ (* (* a1 a2) (/ 1 b1)) b2)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
32×add-cbrt-cube
24×prod-exp
17×div-exp
13×associate-*r*
12×times-frac cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×associate-/r* pow-prod-down
2×associate-*r/ un-div-inv div-inv add-log-exp associate-/l/
1×clear-num frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 71
Calls
2 calls:
38.0ms
(* (* a1 a2) (/ 1 b1))
25.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)

series71.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (* a1 a2) (/ 1 b1))
33.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)

simplify2.7s

Counts
77 → 77
Iterations
IterNodes
done5001
23109
1402
0128

prune413.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.8b
(/ 1 (/ b1 (* a1 a2)))
3.4b
(/ b1 (* a1 a2))
6.8b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×clear-num frac-2neg cbrt-unprod add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 209
Calls
3 calls:
24.0ms
(/ 1 (/ b1 (* a1 a2)))
11.0ms
(/ b1 (* a1 a2))
46.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series118.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (/ b1 (* a1 a2)))
37.0ms
(/ b1 (* a1 a2))
56.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify2.0s

Counts
218 → 218
Iterations
IterNodes
done5001
24047
1851
0318

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

66.7% (3.8b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done33
133
027

end0.0ms

sample1.2s

Algorithm
intervals
Results
459.0ms9987×body80valid