Details

Time bar (total: 29.5s)

sample34.0ms

Algorithm
intervals
Results
23.0ms315×body80valid

simplify88.0ms

Counts
1 → 1
Iterations
IterNodes
779
679
578
471
358
235
116
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize25.0ms

Local error

Found 1 expressions with local error:

13.0b
(/ (* a1 a2) (* b1 b2))

rewrite12.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
12.0ms
(/ (* a1 a2) (* b1 b2))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.2s

Counts
27 → 27
Iterations
IterNodes
37704
2915
1166
058

prune313.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

11.0b
(* (/ a1 b1) (/ a2 b2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 53
Calls
1 calls:
28.0ms
(* (/ a1 b1) (/ a2 b2))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.2s

Counts
56 → 56
Iterations
IterNodes
33702
21041
1326
0114

prune528.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b2)
1.5b
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
1.8b
(/ (/ a1 b1) (cbrt b2))
7.9b
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
2947×times-frac
1477×add-sqr-sqrt
1323×*-un-lft-identity add-cube-cbrt
1094×cbrt-prod
496×associate-*l*
102×div-inv
95×associate-/l*
50×add-exp-log
33×unswap-sqr
29×add-cbrt-cube
25×cbrt-undiv div-exp
22×associate-*r*
12×associate-/r*
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 1311
Calls
4 calls:
1.0ms
(cbrt b2)
26.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
15.0ms
(/ (/ a1 b1) (cbrt b2))
39.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt b2)
146.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
109.0ms
(/ (/ a1 b1) (cbrt b2))
88.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

simplify1.3s

Counts
1323 → 1323
Iterations
IterNodes
13753
01299

prune17.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

4.6b
(* a1 (/ a2 b2))
7.0b
(/ (* a1 (/ a2 b2)) b1)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*l*
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 62
Calls
2 calls:
18.0ms
(* a1 (/ a2 b2))
22.0ms
(/ (* a1 (/ a2 b2)) b1)

series79.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* a1 (/ a2 b2))
41.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify1.2s

Counts
68 → 68
Iterations
IterNodes
33575
2887
1276
0113

prune646.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

53.9% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 10.6b

bsearch1.0ms

simplify9.0ms

Iterations
IterNodes
233
133
026

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10002×body80valid