Details

sample114.0ms

Algorithm

intervals

Results

27.0ms	42×	body	640	valid
23.0ms	27×	body	1280	valid
19.0ms	212×	body	80	valid
7.0ms	110×	body	80	nan
7.0ms	22×	body	320	valid
2.0ms	7×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `pow-unpow` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 87

Calls

3 calls:

104.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
12.0ms	(/ y (+ z y))
24.0ms	(pow (/ y (+ z y)) y)

series542.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
65.0ms	(/ y (+ z y))
348.0ms	(pow (/ y (+ z y)) y)

simplify2.6s

Counts

96 → 96

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	164	1143
1	405	1072
2	1038	1017
3	3016	1012
done	5000	1011

prune339.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.7b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite99.0ms

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:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
48.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
35.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt y)
220.0ms	(cbrt y)
412.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
437.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify3.3s

Counts

136 → 136

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	301	2387
1	693	2217
2	1534	1994
3	4582	1975
done	5000	1973

prune733.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite48.0ms

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:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
721.0ms	(cbrt y)
353.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
117.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.4s

Counts

164 → 164

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	280	2535
1	610	2362
2	1235	2286
3	3243	2239
done	5000	2237

prune912.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite58.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
13.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt y)
272.0ms	(cbrt y)
382.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
105.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.3s

Counts

164 → 164

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	280	2535
1	610	2362
2	1235	2286
3	3243	2239
done	5000	2237

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	30
1	24	30
done	24	30

end0.0ms

sample3.4s

Algorithm

intervals

Results

834.0ms	6579×	body	80	valid
684.0ms	552×	body	320	valid
564.0ms	782×	body	1280	valid
455.0ms	955×	body	640	valid
199.0ms	3028×	body	80	nan
63.0ms	308×	body	160	valid