Details

Time bar (total: 12.4s)

sample51.0ms

Algorithm
intervals
Results
33.0ms323×body80valid

simplify47.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (* 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 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:
19.0ms
(/ (* a1 a2) (* b1 b2))

series36.0ms

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

simplify1.7s

Counts
27 → 27
Iterations
IterNodes
done5000
2915
1166
058

prune115.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (* a1 a2) b1)
5.1b
(/ (/ (* a1 a2) b1) b2)

rewrite21.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
9.0ms
(/ (* a1 a2) b1)
11.0ms
(/ (/ (* a1 a2) b1) b2)

series72.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* a1 a2) b1)
34.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5000
21002
1311
0128

prune358.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ b1 (* a1 a2)))
3.4b
(/ b1 (* a1 a2))
5.1b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite57.0ms

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×expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 218
Calls
3 calls:
22.0ms
(/ 1 (/ b1 (* a1 a2)))
6.0ms
(/ b1 (* a1 a2))
16.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series102.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (/ b1 (* a1 a2)))
29.0ms
(/ b1 (* a1 a2))
49.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify1.3s

Counts
227 → 227
Iterations
IterNodes
done5001
22172
1790
0327

prune863.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ b1 (* a1 a2))
13.4b
(cbrt (/ b1 (* a1 a2)))
13.4b
(cbrt (/ b1 (* a1 a2)))
13.4b
(cbrt (/ b1 (* a1 a2)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
9×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(/ b1 (* a1 a2))
7.0ms
(cbrt (/ b1 (* a1 a2)))
7.0ms
(cbrt (/ b1 (* a1 a2)))
7.0ms
(cbrt (/ b1 (* a1 a2)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ b1 (* a1 a2))
120.0ms
(cbrt (/ b1 (* a1 a2)))
121.0ms
(cbrt (/ b1 (* a1 a2)))
112.0ms
(cbrt (/ b1 (* a1 a2)))

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5000
31593
2465
1182
095

prune662.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes607.0ms

Accuracy

50% (5.4b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done41
141
035

end0.0ms

sample1.7s

Algorithm
intervals
Results
871.0ms9950×body80valid