Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

383×

body

valid

simplify60.0ms

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

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

rewrite54.0ms

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:

9.0ms	(+ (+ x (* y z)) (* t a))
36.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(* (* a z) b)

series154.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (+ x (* y z)) (* t a))
82.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

simplify756.0ms

Counts

54 → 54

Iterations

Useful iterations: done (754.0ms)

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

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
4.4b	(* a (* z b))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

9.0ms	(+ (+ x (* y z)) (* t a))
37.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
6.0ms	(* a (* z b))

series152.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ x (* y z)) (* t a))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
27.0ms	(* a (* z b))

simplify796.0ms

Counts

55 → 55

Iterations

Useful iterations: done (795.0ms)

Iter	Nodes	Cost
0	99	790
1	275	692
2	1095	610
done	5000	598

prune143.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite65.0ms

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)
0.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
13.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt b)
182.0ms	(cbrt b)
51.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
101.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify826.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (110.0ms)

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

prune289.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite37.0ms

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)
27.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
7.0ms	(* (cbrt a) (* z b))

series516.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt a)
185.0ms	(cbrt a)
46.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
105.0ms	(* (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

prune217.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes268.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	24	85
1	39	67
done	39	67

end0.0ms

sample859.0ms

Algorithm

intervals

Results

442.0ms

11895×

body

valid