Details

sample104.0ms

Algorithm

intervals

Results

24.0ms	227×	body	80	valid
21.0ms	23×	body	1280	valid
12.0ms	22×	body	640	valid
8.0ms	107×	body	80	nan
4.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	152	11
5	489	11
6	1976	11
done	5001	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`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×	`pow-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 184

Calls

4 calls:

48.0ms	(/ (pow (/ y (+ z y)) y) y)
77.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
19.0ms	(/ y (+ z y))
18.0ms	(pow (/ y (+ z y)) y)

series677.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (pow (/ y (+ z y)) y) y)
102.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
50.0ms	(/ y (+ z y))
347.0ms	(pow (/ y (+ z y)) y)

simplify1.8s

Counts

196 → 196

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	300	3136
1	723	2932
2	3098	2875
done	5000	2872

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
33.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
28.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ z y))
187.0ms	(cbrt (+ z y))
379.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
360.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.7s

Counts

134 → 134

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	308	2511
1	1000	2344
2	3290	2207
done	5002	2157

prune894.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
0.7b	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
0.7b	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
51×	`*-un-lft-identity`
49×	`cbrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `pow-unpow`
7×	`pow1` `distribute-lft-out`
4×	`cbrt-div` `pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`pow1/3` `div-exp` `div-inv`

Counts

4 → 111

Calls

4 calls:

8.0ms	(cbrt (+ z y))
35.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
3.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

series676.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (+ z y))
385.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
51.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
55.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

simplify1.4s

Counts

123 → 123

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	254	2084
1	781	1944
2	2597	1884
done	5000	1881

prune689.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

24.0ms	(/ (exp (- z)) y)
44.0ms	(+ (/ (exp (- z)) y) x)

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (exp (- z)) y)
43.0ms	(+ (/ (exp (- z)) y) x)

simplify3.7s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	87	481
1	195	457
2	713	433
3	4983	424
done	5001	424

prune187.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	35
1	16	35
done	16	35

end0.0ms

sample3.1s

Algorithm

intervals

Results

726.0ms	6576×	body	80	valid
625.0ms	787×	body	1280	valid
567.0ms	960×	body	640	valid
309.0ms	2957×	body	80	nan
158.0ms	524×	body	320	valid
59.0ms	320×	body	160	valid