Details

sample54.0ms

Algorithm

intervals

Results

11.0ms	24×	body	1280	valid
11.0ms	30×	body	640	valid
10.0ms	217×	body	80	valid
3.0ms	99×	body	80	nan
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	105	11
5	245	11
6	563	11
7	1664	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
6.8b	(pow (/ y (+ z y)) y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`*-un-lft-identity`
90×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 195

Calls

4 calls:

26.0ms	(/ (pow (/ y (+ z y)) y) y)
5.0ms	(/ y (+ z y))
49.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
8.0ms	(pow (/ y (+ z y)) y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (pow (/ y (+ z y)) y) y)
48.0ms	(/ y (+ z y))
92.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
267.0ms	(pow (/ y (+ z y)) y)

simplify994.0ms

Counts

207 → 207

Iterations

Useful iterations: 2 (325.0ms)

Iter	Nodes	Cost
0	308	3208
1	628	2992
2	1818	2925
done	5000	2925

prune555.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
16.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series993.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
200.0ms	(cbrt y)
297.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
306.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	301	2387
1	696	2217
2	1606	1994
3	4719	1975
done	5000	1975

prune512.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
5.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series782.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt y)
206.0ms	(cbrt y)
292.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
82.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.8s

Counts

164 → 164

Iterations

Useful iterations: 3 (732.0ms)

Iter	Nodes	Cost
0	280	2535
1	610	2362
2	1297	2286
3	3450	2239
done	5000	2239

prune638.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

250×	`unpow-prod-down`
144×	`times-frac`
139×	`*-un-lft-identity`
138×	`cbrt-prod`
103×	`add-sqr-sqrt` `add-cube-cbrt`
29×	`pow-unpow`
18×	`distribute-lft-out`
15×	`add-exp-log`
14×	`pow-exp`
6×	`cbrt-div` `associate-/r/`
5×	`pow1` `pow-to-exp` `div-inv` `sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `flip3-+` `div-exp` `flip-+`
2×	`unpow2`
1×	`pow1/3`

Counts

4 → 242

Calls

4 calls:

1.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
31.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
35.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt y)
303.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
320.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
312.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

simplify1.0s

Counts

254 → 254

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	397	5558
1	1048	5098
2	2391	4975
done	5001	4917

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

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

362.0ms	822×	body	1280	valid
320.0ms	6525×	body	80	valid
241.0ms	920×	body	640	valid
101.0ms	574×	body	320	valid
100.0ms	3023×	body	80	nan
31.0ms	290×	body	160	valid