Details

sample69.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	241×	body	80	nan

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	33	12
3	42	12
4	43	12
done	43	12

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize11.0ms

Local error

Found 3 expressions with local error:

1.4b	(+ (* x y) (* x z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
20.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite86.0ms

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:

8.0ms	(+ (* x y) (* x z))
45.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (942.0ms)

Iter	Nodes	Cost
0	86	787
1	250	604
2	870	570
3	3394	560
done	5002	560

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 21.8b

localize13.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* x (+ y z)) (* y z))
2.2b	(+ (* x (+ y z)) (* y z))
20.5b	(sqrt (+ (* x (+ y z)) (* y z)))
20.5b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite83.0ms

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:

18.0ms	(+ (* x (+ y z)) (* y z))
13.0ms	(+ (* x (+ y z)) (* y z))
22.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
28.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x (+ y z)) (* y z))
28.0ms	(+ (* x (+ y z)) (* y z))
152.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
147.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify1.6s

Counts

68 → 68

Iterations

Useful iterations: 3 (667.0ms)

Iter	Nodes	Cost
0	68	1058
1	186	958
2	586	894
3	2446	878
done	5002	878

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 21.8b

localize23.0ms

Local error

Found 4 expressions with local error:

20.5b	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
21.2b	(cbrt (+ (* x (+ y z)) (* y z)))
21.2b	(cbrt (+ (* x (+ y z)) (* y z)))
21.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite200.0ms

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:

140.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
23.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
14.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
12.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
284.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
331.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
304.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	186	3720
1	361	3368
2	759	2960
3	2102	2855
done	5000	2828

prune493.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 21.8b

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* x (+ y z)) (* y z))
2.2b	(+ (* x (+ y z)) (* y z))
21.2b	(cbrt (+ (* x (+ y z)) (* y z)))
21.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate-+l+` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `sum-log`

Counts

4 → 52

Calls

4 calls:

21.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
10.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x (+ y z)) (* y z))
34.0ms	(+ (* x (+ y z)) (* y z))
318.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
335.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	72	1022
1	196	978
2	576	900
3	2326	882
done	5000	866

prune389.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 21.8b

regimes345.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.4b and baseline of 19.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
685.0ms	8209×	body	80	nan