Details

sample70.0ms

Algorithm

intervals

Results

28.0ms	784×	body	80	nan
10.0ms	257×	body	80	valid

simplify535.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	207	11
5	273	11
6	383	11
7	546	11
8	589	11
9	591	11
done	591	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

72.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
21.0ms	(- (- (* x (log y)) y) z)
5.0ms	(* x (log y))

series175.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
57.0ms	(- (* x (log y)) y)
32.0ms	(- (- (* x (log y)) y) z)
42.0ms	(* x (log y))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: 3 (599.0ms)

Iter	Nodes	Cost
0	167	1160
1	361	1097
2	918	1064
3	3318	1016
done	5000	1016

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.4b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt y))) x)
10.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series601.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (* 2 (log (cbrt y))) x)
127.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
173.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify808.0ms

Counts

75 → 75

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	123	811
1	294	731
2	977	551
done	5000	535

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.0b	(- (- (* (log (cbrt y)) (* 3 x)) y) z)
0.3b	(* (log (cbrt y)) (* 3 x))
0.5b	(cbrt y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log` `add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt`
6×	`cbrt-prod` `log-prod`
5×	`associate-l`
4×	`log-pow`
3×	`pow1/3` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `flip3--` `rem-log-exp` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

1.0ms	(log (cbrt y))
47.0ms	(- (- (* (log (cbrt y)) (* 3 x)) y) z)
7.0ms	(* (log (cbrt y)) (* 3 x))
1.0ms	(cbrt y)

series622.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(log (cbrt y))
66.0ms	(- (- (* (log (cbrt y)) (* 3 x)) y) z)
125.0ms	(* (log (cbrt y)) (* 3 x))
174.0ms	(cbrt y)

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (533.0ms)

Iter	Nodes	Cost
0	116	736
1	248	700
2	721	590
3	2885	561
done	5000	561

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series861.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
186.0ms	(cbrt y)
247.0ms	(cbrt (cbrt y))
244.0ms	(cbrt (cbrt y))

simplify1.7s

Counts

62 → 62

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	42	346
1	75	328
2	147	300
3	306	288
4	845	288
5	3493	288
done	5001	288

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	14
1	16	14
done	16	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

820.0ms	24230×	body	80	nan
338.0ms	8038×	body	80	valid