Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	258×	body	80	nan

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	11	14
1	22	12
2	42	11
3	59	11
4	63	11
5	64	11
done	64	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
15.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
103.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	92	853
1	281	652
2	943	584
3	3683	573
done	5000	570

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize10.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma x z (* y (+ z x)))
1.3b	(fma x z (* y (+ z x)))
21.6b	(sqrt (fma x z (* y (+ z x))))
21.6b	(sqrt (fma x z (* y (+ z x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma x z (* y (+ z x)))
0.0ms	(fma x z (* y (+ z x)))
1.0ms	(sqrt (fma x z (* y (+ z x))))
1.0ms	(sqrt (fma x z (* y (+ z x))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(fma x z (* y (+ z x)))
22.0ms	(fma x z (* y (+ z x)))
112.0ms	(sqrt (fma x z (* y (+ z x))))
107.0ms	(sqrt (fma x z (* y (+ z x))))

simplify1.8s

Counts

62 → 62

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	50	750
1	101	674
2	272	616
3	936	608
4	4086	602
done	5000	598

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.8b

localize13.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
21.6b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `sqrt-prod` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
1.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ (* x y) (* x z)))
111.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(cbrt (+ (* x y) (* x z)))
373.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify1.7s

Counts

75 → 75

Iterations

Useful iterations: 3 (418.0ms)

Iter	Nodes	Cost
0	133	1585
1	361	1241
2	1099	978
3	4661	825
done	5000	825

prune314.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 22.8b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma x z (* y (+ z x)))
21.6b	(sqrt (fma x z (* y (+ z x))))
22.2b	(cbrt (fma x z (* y (+ z x))))
22.2b	(cbrt (fma x z (* y (+ z x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma x z (* y (+ z x)))
1.0ms	(sqrt (fma x z (* y (+ z x))))
1.0ms	(cbrt (fma x z (* y (+ z x))))
1.0ms	(cbrt (fma x z (* y (+ z x))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma x z (* y (+ z x)))
108.0ms	(sqrt (fma x z (* y (+ z x))))
206.0ms	(cbrt (fma x z (* y (+ z x))))
205.0ms	(cbrt (fma x z (* y (+ z x))))

simplify524.0ms

Counts

63 → 63

Iterations

Useful iterations: done (522.0ms)

Iter	Nodes	Cost
0	81	801
1	171	757
2	411	690
3	1275	676
done	5000	657

prune267.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.8b

regimes189.0ms

Accuracy

0% (0.0b remaining)

Error of 20.8b against oracle of 20.8b and baseline of 20.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample834.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
239.0ms	7776×	body	80	nan