Details

sample72.0ms

Algorithm

intervals

Results

28.0ms

386×

body

valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	96	13
4	123	13
5	127	13
done	127	13

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.6b	(* (* a z) b)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

33.0ms	(+ (+ x (* y z)) (* t a))
139.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

series231.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (+ x (* y z)) (* t a))
122.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
39.0ms	(* (* a z) b)

simplify1.0s

Counts

54 → 54

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	99	734
1	290	682
2	2016	602
done	5000	602

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
1.2b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
3.5b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
128.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
51.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series698.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt b)
209.0ms	(cbrt b)
55.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
164.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.4s

Counts

86 → 86

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	96	933
1	278	897
2	1731	635
done	5000	519

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.6b	(* b (* a z))
15.5b	(cbrt (* b (* a z)))
15.5b	(cbrt (* b (* a z)))
15.5b	(cbrt (* b (* a z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 45

Calls

4 calls:

31.0ms	(* b (* a z))
20.0ms	(cbrt (* b (* a z)))
19.0ms	(cbrt (* b (* a z)))
18.0ms	(cbrt (* b (* a z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* b (* a z))
142.0ms	(cbrt (* b (* a z)))
102.0ms	(cbrt (* b (* a z)))
107.0ms	(cbrt (* b (* a z)))

simplify1.4s

Counts

57 → 57

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	75	522
1	178	507
2	570	432
3	2259	408
done	5000	389

prune311.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.9b	(* a (* z b))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative`

Counts

3 → 45

Calls

3 calls:

38.0ms	(+ (+ x (* y z)) (* t a))
124.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
25.0ms	(* a (* z b))

series237.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (+ x (* y z)) (* t a))
132.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
40.0ms	(* a (* z b))

simplify969.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	95	731
1	272	681
2	1575	601
done	5000	601

prune169.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

86.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.2b

bsearch104.0ms

Steps

Iters	Range		Point
7	2.144722660572304e+45	6.4210733825952e+46	5.207363882734845e+45
8	-3.4704685986942793e-28	-5.744670383842665e-31	-6.443929933701576e-29

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	53
1	35	39
done	35	39

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

11920×

body

valid