Details

Time bar (total: 19.6s)

sample34.0ms

Algorithm
intervals
Results
17.0ms320×body80valid

simplify51.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize19.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (* a1 a2) (* b1 b2))

rewrite32.0ms

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:
27.0ms
(/ (* a1 a2) (* b1 b2))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts
27 → 27
Iterations
IterNodes
done5000
2915
1166
058

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

10.2b
(* (/ a1 b1) (/ a2 b2))

rewrite39.0ms

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:
36.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.3s

Counts
56 → 56
Iterations
IterNodes
done5004
34320
21089
1328
0114

prune272.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.2b
(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
5.2b
(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
45×times-frac
31×add-cbrt-cube
27×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×cbrt-undiv div-exp
16×associate-/r/
11×associate-/r*
8×prod-exp cbrt-unprod
6×cbrt-prod div-inv associate-/l*
5×frac-times associate-*l/ associate-*r/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow1/3
Counts
4 → 130
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
36.0ms
(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
22.0ms
(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

series677.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt b2)
223.0ms
(cbrt b2)
93.0ms
(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
136.0ms
(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

simplify1.7s

Counts
142 → 142
Iterations
IterNodes
done5001
21919
1599
0233

prune692.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.5b
(* (/ (cbrt a2) (cbrt b2)) (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))))
2.6b
(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))

rewrite417.0ms

Algorithm
rewrite-expression-head
Rules
2485×times-frac
1268×add-sqr-sqrt
1095×*-un-lft-identity add-cube-cbrt
846×cbrt-prod
380×associate-*r*
125×associate-/r*
45×add-exp-log
40×associate-*l*
35×unswap-sqr
31×add-cbrt-cube div-inv
22×cbrt-undiv div-exp
9×associate-/r/
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 1037
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
276.0ms
(* (/ (cbrt a2) (cbrt b2)) (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))))
32.0ms
(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))

series816.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt b2)
255.0ms
(cbrt b2)
239.0ms
(* (/ (cbrt a2) (cbrt b2)) (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))))
74.0ms
(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))

simplify2.2s

Counts
1049 → 1049
Iterations
IterNodes
done5000
01491

prune6.8s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes512.0ms

Accuracy

50.2% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.2b

bsearch2.0ms

simplify12.0ms

Iterations
IterNodes
done39
139
033

end0.0ms

sample892.0ms

Algorithm
intervals
Results
483.0ms9920×body80valid