Details

Time bar (total: 22.9s)

sample57.0ms

Algorithm
intervals
Results
18.0ms313×body80valid

simplify222.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize26.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite20.0ms

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 insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
19.0ms
(/ (* a1 a2) (* b1 b2))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.6s

Counts
25 → 25
Iterations
IterNodes
done5002
2816
1162
056

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ (/ (* a1 a2) b1) b2)
6.4b
(/ (* a1 a2) b1)

rewrite41.0ms

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 insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 71
Calls
2 calls:
16.0ms
(/ (/ (* a1 a2) b1) b2)
18.0ms
(/ (* a1 a2) b1)

series127.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (/ (* a1 a2) b1) b2)
52.0ms
(/ (* a1 a2) b1)

simplify2.3s

Counts
77 → 77
Iterations
IterNodes
done5000
2998
1307
0124

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1 (/ b1 (* a1 a2)))
4.3b
(/ (/ 1 (/ b1 (* a1 a2))) b2)
6.3b
(/ b1 (* a1 a2))

rewrite109.0ms

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 insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 212
Calls
3 calls:
20.0ms
(/ 1 (/ b1 (* a1 a2)))
49.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)
12.0ms
(/ b1 (* a1 a2))

series136.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (/ b1 (* a1 a2)))
52.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)
36.0ms
(/ b1 (* a1 a2))

simplify4.0s

Counts
221 → 221
Iterations
IterNodes
done5004
22079
1797
0321

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (/ 1 1) (* (/ (/ b1 a1) a2) b2))
4.7b
(* (/ (/ b1 a1) a2) b2)
5.6b
(/ (/ b1 a1) a2)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac
111×add-exp-log
104×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
71×div-exp
49×add-cbrt-cube
43×associate-*l*
26×associate-/l*
24×cbrt-undiv prod-exp
20×1-exp
12×div-inv
9×cbrt-unprod
8×rec-exp
5×pow1
4×associate-/r*
3×associate-*r* insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*l/ associate-/l/
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 213
Calls
3 calls:
41.0ms
(/ (/ 1 1) (* (/ (/ b1 a1) a2) b2))
53.0ms
(* (/ (/ b1 a1) a2) b2)
15.0ms
(/ (/ b1 a1) a2)

series162.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (/ 1 1) (* (/ (/ b1 a1) a2) b2))
54.0ms
(* (/ (/ b1 a1) a2) b2)
31.0ms
(/ (/ b1 a1) a2)

simplify4.0s

Counts
222 → 222
Iterations
IterNodes
done5000
22436
1862
0339

prune2.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes1.4s

Accuracy

56.1% (5.1b remaining)

Error of 5.2b against oracle of 0.1b and baseline of 11.8b

bsearch2.0ms

simplify25.0ms

Iterations
IterNodes
done35
135
030

end0.0ms

sample1.1s

Algorithm
intervals
Results
490.0ms10032×body80valid