Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	257×	body	80	valid
9.0ms	232×	body	80	nan

simplify17.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt` `log-prod`
5×	`pow1`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-+l+` `flip3-+` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

27.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms	(* (+ y 0.5) (log y))

series462.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
401.0ms	(* (+ y 0.5) (log y))

simplify2.5s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	113	631
1	293	596
2	888	523
3	3400	510
done	5002	510

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (* (+ y 0.5) (log y)) y))
0.1b	(* (+ y 0.5) (log y))
0.1b	(- (* (+ y 0.5) (log y)) y)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

51.0ms	(- x (- (* (+ y 0.5) (log y)) y))
54.0ms	(* (+ y 0.5) (log y))
28.0ms	(- (* (+ y 0.5) (log y)) y)

series1.1s

Counts

3 → 9

Calls

3 calls:

62.0ms	(- x (- (* (+ y 0.5) (log y)) y))
361.0ms	(* (+ y 0.5) (log y))
692.0ms	(- (* (+ y 0.5) (log y)) y)

simplify3.3s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	144	1000
1	356	916
2	1101	839
3	4461	814
done	5001	814

prune284.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt y) (cbrt y))
263.0ms	(cbrt y)
248.0ms	(cbrt y)
263.0ms	(cbrt y)

simplify5.4s

Counts

85 → 85

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune484.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt y)
4.0ms	(cbrt (pow y 2/3))
3.0ms	(cbrt (cbrt y))
6.0ms	(pow y 2/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
364.0ms	(cbrt (pow y 2/3))
460.0ms	(cbrt (cbrt y))
297.0ms	(pow y 2/3)

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: 4 (922.0ms)

Iter	Nodes	Cost
0	93	428
1	171	383
2	318	347
3	730	333
4	2648	328
done	5001	328

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	31
1	26	31
done	26	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

714.0ms	8028×	body	80	valid
398.0ms	8082×	body	80	nan
0.0ms	1×	body	640	valid