Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

383×

body

valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	54	13
3	83	13
4	88	13
5	90	13
done	90	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))
7.5b	(* (* a z) b)

rewrite56.0ms

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:

10.0ms	(+ (+ x (* y z)) (* t a))
38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series155.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (+ x (* y z)) (* t a))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
30.0ms	(* (* a z) b)

simplify744.0ms

Counts

54 → 54

Iterations

Useful iterations: done (742.0ms)

Iter	Nodes	Cost
0	99	734
1	278	682
2	1191	598
done	5000	590

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))
4.4b	(* a (* z b))

rewrite57.0ms

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:

9.0ms	(+ (+ x (* y z)) (* t a))
38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(* a (* z b))

series151.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
82.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
25.0ms	(* a (* z b))

simplify615.0ms

Counts

54 → 54

Iterations

Useful iterations: done (613.0ms)

Iter	Nodes	Cost
0	95	731
1	267	681
2	1044	597
done	5000	589

prune125.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
2.1b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.5b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite69.0ms

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:

0.0ms	(cbrt b)
1.0ms	(cbrt b)
52.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt b)
179.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
101.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify832.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	95	943
1	260	906
2	1075	600
done	5000	600

prune254.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
1.9b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
2.8b	(* (cbrt a) (* z b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`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-l`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 71

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
26.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
7.0ms	(* (cbrt a) (* z b))

series498.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt a)
171.0ms	(cbrt a)
44.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
104.0ms	(* (cbrt a) (* z b))

simplify2.7s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	86	800
1	230	771
2	817	537
3	4687	439
done	5000	439

prune211.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

74.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	81
1	35	67
done	35	67

end0.0ms

sample789.0ms

Algorithm

intervals

Results

416.0ms

11895×

body

valid