Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	247×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	31	12
3	37	12
4	39	12
done	39	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

2.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.5s

Counts

49 → 49

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	86	787
1	249	604
2	808	570
3	2854	560
done	5001	557

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x (+ y z)) (* z y))
0.6b	(+ (* x (+ y z)) (* z y))
16.4b	(sqrt (+ (* x (+ y z)) (* z y)))
16.4b	(sqrt (+ (* x (+ y z)) (* z y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (* x (+ y z)) (* z y))
5.0ms	(+ (* x (+ y z)) (* z y))
7.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
7.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x (+ y z)) (* z y))
21.0ms	(+ (* x (+ y z)) (* z y))
110.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
115.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify1.0s

Counts

68 → 68

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	67	1058
1	183	958
2	559	894
3	2001	878
done	5000	872

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.2b

localize13.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* x (+ y z)))
14.1b	(cbrt (* x (+ y z)))
14.1b	(cbrt (* x (+ y z)))
16.4b	(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `associate-*r/`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 48

Calls

4 calls:

3.0ms	(cbrt (* x (+ y z)))
3.0ms	(cbrt (* x (+ y z)))
3.0ms	(cbrt (* x (+ y z)))
31.0ms	(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (* x (+ y z)))
107.0ms	(cbrt (* x (+ y z)))
106.0ms	(cbrt (* x (+ y z)))
113.0ms	(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

simplify2.7s

Counts

60 → 60

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	101	1078
1	256	1001
2	604	624
3	1693	608
4	4990	581
done	5000	581

prune235.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.2b

localize20.0ms

Local error

Found 4 expressions with local error:

16.4b	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* z y))) (cbrt (+ (* x (+ y z)) (* z y)))) (cbrt (+ (* x (+ y z)) (* z y)))))
17.0b	(cbrt (+ (* x (+ y z)) (* z y)))
17.0b	(cbrt (+ (* x (+ y z)) (* z y)))
17.0b	(cbrt (+ (* x (+ y z)) (* z y)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

51.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* z y))) (cbrt (+ (* x (+ y z)) (* z y)))) (cbrt (+ (* x (+ y z)) (* z y)))))
207.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* z y))) (cbrt (+ (* x (+ y z)) (* z y)))) (cbrt (+ (* x (+ y z)) (* z y)))))
209.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
209.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
206.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

simplify2.6s

Counts

101 → 101

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	185	3720
1	353	3360
2	701	2960
3	1731	2855
4	4639	2828
done	5000	2828

prune329.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 17.2b

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 19.4b against oracle of 19.3b and baseline of 19.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	17	14
done	17	14

end0.0ms

sample841.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
250.0ms	7989×	body	80	nan