Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
8.0ms	256×	body	80	valid

simplify348.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	165
1	19	165
2	55	165
3	144	165
4	265	165
5	315	165
done	315	165

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

3 → 51

Calls

3 calls:

21.0ms	(+ (+ e d) c)
505.0ms	(+ (+ (+ (+ e d) c) b) a)
143.0ms	(+ (+ (+ e d) c) b)

series125.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (+ e d) c)
74.0ms	(+ (+ (+ (+ e d) c) b) a)
33.0ms	(+ (+ (+ e d) c) b)

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	83	12804
1	226	10771
2	1043	10611
done	5006	10571

prune324.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ e d) c) (+ b a))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+r+`

Counts

2 → 43

Calls

2 calls:

22.0ms	(+ (+ e d) c)
129.0ms	(+ (+ (+ e d) c) (+ b a))

series122.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ e d) c)
95.0ms	(+ (+ (+ e d) c) (+ b a))

simplify1.9s

Counts

49 → 49

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	93	15172
1	289	11987
2	1518	11827
done	5003	11787

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ b a))
0.2b	(+ (+ e d) (+ c (+ b a)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+l+`

Counts

2 → 43

Calls

2 calls:

25.0ms	(+ c (+ b a))
75.0ms	(+ (+ e d) (+ c (+ b a)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ c (+ b a))
82.0ms	(+ (+ e d) (+ c (+ b a)))

simplify1.4s

Counts

49 → 49

Iterations

Useful iterations: 1 (73.0ms)

Iter	Nodes	Cost
0	93	15172
1	294	11787
2	1304	11787
done	5006	11787

prune321.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ e d) (cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))))
0.4b	(* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))
0.5b	(cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a))))
0.5b	(* (+ c (+ b a)) (+ c (+ b a)))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

141×	`flip3-+` `flip-+`
116×	`frac-times`
78×	`cbrt-div`
63×	`*-un-lft-identity`
58×	`associate-*l/`
52×	`frac-add`
34×	`associate-*r/`
30×	`pow1` `distribute-lft-out`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
10×	`associate-r`
9×	`add-cube-cbrt` `add-log-exp`
7×	`pow-plus` `pow-prod-up`
6×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `sum-log` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `associate-+l+` `pow1/3` `rem-cbrt-cube`

Counts

4 → 208

Calls

4 calls:

38.0ms	(+ (+ e d) (cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))))
197.0ms	(* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))
131.0ms	(cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a))))
84.0ms	(* (+ c (+ b a)) (+ c (+ b a)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (+ e d) (cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))))
183.0ms	(* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a)))
47.0ms	(cbrt (* (* (+ c (+ b a)) (+ c (+ b a))) (+ c (+ b a))))
63.0ms	(* (+ c (+ b a)) (+ c (+ b a)))

simplify4.7s

Counts

220 → 220

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	393	178121
1	1100	134468
2	3869	133151
done	5005	130470

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes696.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	405
1	21	405
done	21	405

end0.0ms

sample1.4s

Algorithm

intervals

Results

763.0ms	8000×	pre	80	true
326.0ms	8000×	body	80	valid