Details

Time bar (total: 4.8s)

sample19.0ms

Algorithm
intervals
Results
6.0ms309×body80valid

simplify36.0ms

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: 9.3b

localize8.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (* a1 a2) (* b1 b2))

rewrite13.0ms

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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

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

simplify567.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune45.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (* b1 b2) (* a1 a2)))
8.8b
(/ (* b1 b2) (* a1 a2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
18.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
12.0ms
(/ (* b1 b2) (* a1 a2))

series64.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
30.0ms
(/ (* b1 b2) (* a1 a2))

simplify545.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01241135
12991000
21244790
done5000790

prune106.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ b1 (/ (* a1 a2) b2)))
3.2b
(/ (* a1 a2) b2)
7.1b
(/ b1 (/ (* a1 a2) b2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 211
Calls
3 calls:
21.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
9.0ms
(/ (* a1 a2) b2)
9.0ms
(/ b1 (/ (* a1 a2) b2))

series90.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
20.0ms
(/ (* a1 a2) b2)
34.0ms
(/ b1 (/ (* a1 a2) b2))

simplify809.0ms

Counts
220 → 220
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
03123275
16952817
219502462
done50002462

prune332.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ b1 (/ 1 b2))
9.0b
(/ (* a1 a2) (/ b1 (/ 1 b2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
251×times-frac
114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
46×add-exp-log
28×div-exp add-cbrt-cube
15×cbrt-undiv
14×div-inv
5×prod-exp
4×associate-/r/ associate-/l*
3×rec-exp 1-exp cbrt-unprod
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 192
Calls
2 calls:
12.0ms
(/ b1 (/ 1 b2))
20.0ms
(/ (* a1 a2) (/ b1 (/ 1 b2)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ b1 (/ 1 b2))
30.0ms
(/ (* a1 a2) (/ b1 (/ 1 b2)))

simplify830.0ms

Counts
198 → 198
Iterations

Useful iterations: 2 (342.0ms)

IterNodesCost
03092779
17181983
219421805
done50011805

prune288.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes280.0ms

Accuracy

61.1% (4.5b remaining)

Error of 4.5b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03391
14378
24663
34963
done4963

end0.0ms

sample538.0ms

Algorithm
intervals
Results
214.0ms9939×body80valid