Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

408×

body

valid

simplify9.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	38	9
4	47	9
5	54	9
6	72	9
7	115	9
8	124	9
9	135	9
10	236	9
11	551	9
12	3218	9
done	5001	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

2.0ms	(+ (* x y) (* z z))
13.0ms	(+ (+ (* x y) (* z z)) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series136.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* z z))
50.0ms	(+ (+ (* x y) (* z z)) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (440.0ms)

Iter	Nodes	Cost
0	70	791
1	216	667
2	755	601
3	2737	520
done	5000	520

prune109.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

28.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
113.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
115.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
117.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

simplify2.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (709.0ms)

Iter	Nodes	Cost
0	124	2420
1	285	2231
2	900	2017
3	3968	1786
done	5001	1786

prune332.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
3.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
112.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
115.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
118.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	122	2414
1	281	2225
2	858	2011
3	3551	1780
done	5000	1780

prune325.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))

rewrite14.0ms

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:

3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
114.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
122.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
116.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

simplify845.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (209.0ms)

Iter	Nodes	Cost
0	66	1208
1	170	1160
2	466	1040
3	1616	1000
done	5000	1000

prune298.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	12	15
done	12	15

end0.0ms

sample535.0ms

Algorithm

intervals

Results

299.0ms

12177×

body

valid