Details

sample139.0ms

Algorithm

intervals

Results

43.0ms	48×	body	1280	valid
24.0ms	39×	body	640	valid
21.0ms	164×	body	80	valid
19.0ms	103×	body	80	nan
11.0ms	24×	body	320	valid
4.0ms	15×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1961
5	488
4	149
3	52
2	24
1	15
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`associate-l` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

13.0ms	(/ x (+ x y))
19.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ x (+ x y))
96.0ms	(* x (log (/ x (+ x y))))
59.0ms	(log (/ x (+ x y)))

simplify898.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1048
1	365
0	170

prune560.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune21.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
33.0b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`associate-l/` `associate-r/` `add-exp-log`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`add-cbrt-cube` `rem-log-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 170

Calls

4 calls:

5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
27.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (+ x y))
154.0ms	(cbrt (+ x y))
192.0ms	(cbrt (+ x y))
108.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify1.8s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	2697
1	884
0	394

prune975.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize94.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
5.0b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
11.0b	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
24.8b	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

379×	`cbrt-prod`
220×	`times-frac`
202×	`log-prod`
170×	`cbrt-div`
131×	`*-un-lft-identity`
106×	`associate-/r/`
95×	`add-sqr-sqrt` `add-cube-cbrt`
79×	`flip3-+` `flip-+`
52×	`frac-times`
26×	`associate-l/` `associate-r/`
18×	`distribute-lft-out`
14×	`div-inv`
13×	`add-exp-log`
6×	`pow1`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`div-exp`
2×	`log-div` `pow1/3` `log-pow`
1×	`prod-exp`

Counts

4 → 277

Calls

4 calls:

17.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
17.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
15.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
25.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

series946.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
381.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
93.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
129.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

simplify1.8s

Counts

289 → 289

Iterations

Iter	Nodes
done	5000
2	3714
1	1173
0	682

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes112.0ms

Accuracy

50.2% (4.3b remaining)

Error of 5.6b against oracle of 1.2b and baseline of 10.0b

bsearch503.0ms

Steps

Iters	Range		Point
10	1.2992002808021224e+187	1.4026291920716977e+200	2.5159502131974188e+194
6	2.4360020063759253e-22	2.1227779759431853e-21	2.081714116143433e-21

simplify19.0ms

Iterations

Iter	Nodes
done	52
1	52
0	45

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1495×	body	1280	valid
1.2s	1436×	body	640	valid
677.0ms	4901×	body	80	valid
325.0ms	853×	body	320	valid
288.0ms	3199×	body	80	nan
156.0ms	449×	body	160	valid