Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

362×

body

valid

simplify50.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
1.8b	(* (* a z) b)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

9.0ms	(+ (+ x (* y z)) (* t a))
40.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
7.0ms	(* (* a z) b)

series173.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (+ x (* y z)) (* t a))
79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
25.0ms	(* (* a z) b)

simplify738.0ms

Counts

68 → 68

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	115	854
1	331	787
2	1339	703
done	5001	695

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
1.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite70.0ms

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)
53.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt b)
167.0ms	(cbrt b)
45.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify530.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (97.0ms)

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

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
1.8b	(* (* a z) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
6.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
8.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
7.0ms	(* (* a z) b)

series569.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
182.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
180.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
25.0ms	(* (* a z) b)

simplify1.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (509.0ms)

Iter	Nodes	Cost
0	109	1083
1	278	1051
2	891	949
3	2938	913
done	5000	913

prune235.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (+ t (* z b))))
0.0b	(+ t (* z b))
0.0b	(+ x (* y z))
2.0b	(* a (+ t (* z b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

11.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
2.0ms	(+ t (* z b))
2.0ms	(+ x (* y z))
11.0ms	(* a (+ t (* z b)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
26.0ms	(+ t (* z b))
27.0ms	(+ x (* y z))
54.0ms	(* a (+ t (* z b)))

simplify465.0ms

Counts

75 → 75

Iterations

Useful iterations: done (463.0ms)

Iter	Nodes	Cost
0	122	1090
1	374	1006
2	1367	952
done	5000	934

prune214.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	24	22
done	24	22

end0.0ms

sample816.0ms

Algorithm

intervals

Results

421.0ms

11775×

body

valid