Details

sample80.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
15.0ms	236×	body	80	nan

simplify42.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize19.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite95.0ms

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:

9.0ms	(+ (* x y) (* x z))
35.0ms	(+ (+ (* x y) (* x z)) (* y z))
50.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* x y) (* x z))
39.0ms	(+ (+ (* x y) (* x z)) (* y z))
164.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.9s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.1s)

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

prune279.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
1.8b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite98.0ms

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:

15.0ms	(+ (* x (+ y z)) (* y z))
19.0ms	(+ (* x (+ y z)) (* y z))
30.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
32.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x (+ y z)) (* y z))
36.0ms	(+ (* x (+ y z)) (* y z))
152.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
172.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify2.0s

Counts

68 → 68

Iterations

Useful iterations: 3 (797.0ms)

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

prune513.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))
18.5b	(cbrt (+ (* x (+ y z)) (* y z)))
18.5b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

18.0ms	(+ (* x (+ y z)) (* y z))
22.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
20.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
20.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series875.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* x (+ y z)) (* y z))
161.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
311.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
348.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify2.2s

Counts

66 → 66

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	101	1095
1	258	1031
2	731	957
3	2786	935
done	5000	919

prune522.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize72.0ms

Local error

Found 4 expressions with local error:

18.5b	(cbrt (+ (* x (+ y z)) (* y z)))
18.5b	(cbrt (+ (* x (+ y z)) (* y z)))
18.5b	(cbrt (+ (* x (+ y z)) (* y z)))
18.5b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

19.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
20.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
20.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
19.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
334.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
339.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
370.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	57	1132
1	157	1104
2	469	1020
3	1648	992
done	5000	960

prune569.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 19.0b

regimes337.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
681.0ms	7981×	body	80	nan