Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	218×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	18×	body	1280	valid
4.0ms	23×	body	320	valid
3.0ms	83×	body	80	nan
1.0ms	11×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	103	11
5	240	11
6	550	11
7	1627	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
6.1b	(pow (/ y (+ z y)) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

23.0ms	(/ (pow (/ y (+ z y)) y) y)
5.0ms	(/ y (+ z y))
7.0ms	(pow (/ y (+ z y)) y)

series404.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(/ (pow (/ y (+ z y)) y) y)
42.0ms	(/ y (+ z y))
228.0ms	(pow (/ y (+ z y)) y)

simplify787.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	276	2881
1	538	2705
2	1568	2650
done	5000	2650

prune444.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(* (cbrt (+ z y)) (cbrt (+ z y)))
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.6b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
71×	`*-un-lft-identity`
61×	`unpow-prod-down`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
28×	`cbrt-div`
22×	`add-exp-log`
14×	`flip3-+` `flip-+`
13×	`pow1` `distribute-lft-out`
10×	`associate-/r/`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l` `pow-exp`
6×	`pow-unpow`
5×	`div-exp` `prod-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

2.0ms	(cbrt (+ z y))
18.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
12.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series818.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ z y))
160.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
258.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
269.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify716.0ms

Counts

173 → 173

Iterations

Useful iterations: 2 (302.0ms)

Iter	Nodes	Cost
0	351	3133
1	820	2802
2	2013	2643
done	5000	2643

prune551.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
89×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `rem-log-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
15.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ z y))
128.0ms	(cbrt (+ z y))
267.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
77.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.3s

Counts

162 → 162

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	287	2677
1	635	2499
2	1382	2419
3	3622	2370
done	5001	2370

prune577.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- z)) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/ (exp (- z)) y)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (exp (- z)) y)

simplify2.0s

Counts

32 → 32

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	285	269
3	892	267
4	3371	267
done	5001	267

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27
done	20	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

350.0ms	782×	body	1280	valid
315.0ms	6526×	body	80	valid
257.0ms	959×	body	640	valid
105.0ms	2993×	body	80	nan
88.0ms	513×	body	320	valid
33.0ms	304×	body	160	valid