Details

Time bar (total: 7.0s)

sample45.0ms

Algorithm
intervals
Results
17.0ms330×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
24.0ms
(/ (* a1 a2) (* b1 b2))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune59.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (* b1 b2) a2)
7.0b
(/ a1 (/ (* b1 b2) a2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (* b1 b2) a2)
10.0ms
(/ a1 (/ (* b1 b2) a2))

series77.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* b1 b2) a2)
48.0ms
(/ a1 (/ (* b1 b2) a2))

simplify954.0ms

Counts
79 → 79
Iterations

Useful iterations: done (950.0ms)

IterNodesCost
0127852
1330823
21658741
done5000731

prune223.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.2b
(* b1 (/ b2 a2))
7.0b
(/ a1 (* b1 (/ b2 a2)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 60
Calls
2 calls:
18.0ms
(* b1 (/ b2 a2))
15.0ms
(/ a1 (* b1 (/ b2 a2)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* b1 (/ b2 a2))
41.0ms
(/ a1 (* b1 (/ b2 a2)))

simplify683.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
0110589
1277570
21138492
done5000492

prune219.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

5.9b
(* (/ 1 b1) (/ a1 (/ b2 a2)))
6.3b
(/ a1 (/ b2 a2))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/r*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 170
Calls
2 calls:
62.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
9.0ms
(/ a1 (/ b2 a2))

series74.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
37.0ms
(/ a1 (/ b2 a2))

simplify675.0ms

Counts
176 → 176
Iterations

Useful iterations: done (668.0ms)

IterNodesCost
02782292
19042145
done50001801

prune569.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes461.0ms

Accuracy

50.8% (5.8b remaining)

Error of 5.9b against oracle of 0.1b and baseline of 11.9b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
044121
155115
done55115

end0.0ms

sample1.3s

Algorithm
intervals
Results
525.0ms9892×body80valid