Details

Time bar (total: 26.5s)

sample37.0ms

Algorithm
intervals
Results
11.0ms310×body80valid

simplify70.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize17.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite18.0ms

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:
17.0ms
(/ (* a1 a2) (* b1 b2))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts
24 → 24
Iterations
IterNodes
done5001
2810
1159
055

prune145.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

10.1b
(* (/ a1 b1) (/ a2 b2))

rewrite44.0ms

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×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
40.0ms
(* (/ a1 b1) (/ a2 b2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (/ a1 b1) (/ a2 b2))

simplify3.0s

Counts
53 → 53
Iterations
IterNodes
done5056
34545
21110
1329
0111

prune306.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
2.0b
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
2.8b
(/ (/ a1 b1) (cbrt b2))
6.0b
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite615.0ms

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×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 → 1299
Calls
4 calls:
1.0ms
(cbrt b2)
56.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
10.0ms
(/ (/ a1 b1) (cbrt b2))
392.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt b2)
171.0ms
(/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2))
115.0ms
(/ (/ a1 b1) (cbrt b2))
114.0ms
(* (/ (/ (/ a1 b1) (cbrt b2)) (cbrt b2)) (/ a2 (cbrt b2)))

simplify3.4s

Counts
1311 → 1311
Iterations
IterNodes
done5001
13689
01287

prune9.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
2.0b
(/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2))
2.6b
(/ (* a1 (cbrt (/ 1 b2))) b1)
6.0b
(* (/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
107×add-sqr-sqrt
77×*-un-lft-identity add-cube-cbrt
63×cbrt-prod
50×add-exp-log
46×associate-*l*
33×add-cbrt-cube
22×associate-*r*
21×cbrt-undiv div-exp
17×div-inv
12×prod-exp cbrt-unprod
9×associate-/r* unswap-sqr
8×associate-/l*
6×pow1
4×add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l/
1×frac-times cbrt-div pow1/3 pow-prod-down associate-*l/ *-commutative
Counts
4 → 210
Calls
4 calls:
1.0ms
(cbrt b2)
27.0ms
(/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2))
18.0ms
(/ (* a1 (cbrt (/ 1 b2))) b1)
79.0ms
(* (/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2)) (/ a2 (cbrt b2)))

series992.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt b2)
455.0ms
(/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2))
137.0ms
(/ (* a1 (cbrt (/ 1 b2))) b1)
157.0ms
(* (/ (/ (* a1 (cbrt (/ 1 b2))) b1) (cbrt b2)) (/ a2 (cbrt b2)))

simplify2.0s

Counts
222 → 222
Iterations
IterNodes
done5006
23901
1967
0300

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes893.0ms

Accuracy

44.1% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 9.5b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
done43
143
035

end0.0ms

sample1.1s

Algorithm
intervals
Results
445.0ms9894×body80valid