Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	247×	body	80	nan
8.0ms	256×	body	80	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	31	12
3	38	12
4	40	12
done	40	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize9.0ms

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)))

rewrite30.0ms

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))
14.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	86	787
1	260	604
2	852	570
3	3027	560
done	5000	557

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.2b

localize11.0ms

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)))

rewrite25.0ms

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)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x (+ y z)) (* z y))
22.0ms	(+ (* x (+ y z)) (* z y))
106.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
111.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify782.0ms

Counts

68 → 68

Iterations

Useful iterations: done (780.0ms)

Iter	Nodes	Cost
0	67	1058
1	183	958
2	562	894
3	2083	878
done	5000	872

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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)))

rewrite45.0ms

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)))
34.0ms	(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (* x (+ y z)))
104.0ms	(cbrt (* x (+ y z)))
104.0ms	(cbrt (* x (+ y z)))
106.0ms	(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

simplify684.0ms

Counts

60 → 60

Iterations

Useful iterations: done (682.0ms)

Iter	Nodes	Cost
0	101	1078
1	257	1001
2	613	624
3	1819	608
done	5000	602

prune231.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.2b

localize18.0ms

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)))

rewrite72.0ms

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:

55.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* z y))) (cbrt (+ (* x (+ y z)) (* z y)))) (cbrt (+ (* x (+ y z)) (* z y)))))
5.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
4.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* z y))) (cbrt (+ (* x (+ y z)) (* z y)))) (cbrt (+ (* x (+ y z)) (* z y)))))
204.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
199.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
202.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	185	3720
1	353	3376
2	812	2960
3	2562	2855
done	5000	2852

prune318.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 17.2b

regimes196.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample813.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
248.0ms	7989×	body	80	nan