Details

sample256.0ms

Algorithm

intervals

Results

80.0ms	799×	body	80	nan
42.0ms	28×	body	640	valid
21.0ms	186×	body	80	valid
13.0ms	11×	body	1280	valid
9.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify217.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	83	13
7	105	13
8	124	13
9	132	13
10	139	13
11	140	13
done	140	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.5b	(log (- 1.0 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

21.0ms	(* z (log (- 1.0 y)))
9.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* z (log (- 1.0 y)))
55.0ms	(* x (log y))
62.0ms	(log (- 1.0 y))

simplify4.0s

Counts

79 → 79

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	168	766
1	333	740
2	715	664
3	1408	637
4	3831	633
done	5000	630

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.3b	(* x (log y))
6.9b	(* z (pow y 2))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
27×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`associate--l+`
12×	`log-prod` `div-exp`
9×	`pow1` `associate-l`
8×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
5×	`associate-*r/`
3×	`sub-neg` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `flip3--` `pow-prod-down` `frac-sub` `flip--`
1×	`diff-log` `log-pow` `div-inv`

Counts

4 → 118

Calls

4 calls:

29.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
28.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
9.0ms	(* x (log y))
19.0ms	(* z (pow y 2))

series375.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
80.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
82.0ms	(* x (log y))
56.0ms	(* z (pow y 2))

simplify1.4s

Counts

130 → 130

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	249	1827
1	586	1682
2	1759	1520
done	5000	1507

prune713.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
6.9b	(* z (pow y 2))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
23×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 84

Calls

4 calls:

47.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
24.0ms	(* z (pow y 2))

series877.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
312.0ms	(cbrt y)
339.0ms	(cbrt y)
37.0ms	(* z (pow y 2))

simplify5.1s

Counts

96 → 96

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	145	974
1	352	861
2	982	704
3	4551	659
done	5000	604

prune706.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
0.6b	(cbrt y)
5.1b	(pow y 1/3)
6.9b	(* z (pow y 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `add-sqr-sqrt` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log`
8×	`associate-r`
7×	`unpow-prod-down`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`unswap-sqr`
3×	`pow-unpow` `associate-l` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `unpow2`
1×	`+-commutative` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 91

Calls

4 calls:

44.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
1.0ms	(cbrt y)
15.0ms	(pow y 1/3)
21.0ms	(* z (pow y 2))

series745.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
269.0ms	(cbrt y)
274.0ms	(pow y 1/3)
49.0ms	(* z (pow y 2))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	176	1083
1	416	887
2	1137	736
done	5001	692

prune706.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes248.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	37	37
done	37	37

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.2s	24209×	body	80	nan
908.0ms	5516×	body	80	valid
770.0ms	900×	body	640	valid
378.0ms	446×	body	1280	valid
250.0ms	723×	body	320	valid
72.0ms	449×	body	160	valid