Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

487×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	136	13
4	287	13
5	416	13
6	498	13
7	589	13
8	732	13
9	889	13
done	889	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b	(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* z z) t)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series157.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (* z z) t)
74.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
60.0ms	(* (* y 4.0) (- (* z z) t))

simplify547.0ms

Counts

63 → 63

Iterations

Useful iterations: done (545.0ms)

Iter	Nodes	Cost
0	103	843
1	289	802
2	1117	696
done	5001	692

prune136.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (* z z)))
0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
8.1b	(* (* y 4.0) (* z z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

3.0ms	(- (* x x) (* (* y 4.0) (* z z)))
17.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
11.0ms	(* (* y 4.0) (* z z))

series175.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x x) (* (* y 4.0) (* z z)))
78.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (* y 4.0) (- t)))
29.0ms	(* (* y 4.0) (* z z))

simplify559.0ms

Counts

59 → 59

Iterations

Useful iterations: done (558.0ms)

Iter	Nodes	Cost
0	100	988
1	286	869
2	1077	725
done	5001	713

prune133.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
0.2b	(* (* (* y 4.0) z) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

5.0ms	(- (* x x) (* (* (* y 4.0) z) z))
17.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
21.0ms	(* (* (* y 4.0) z) z)

series171.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* x x) (* (* (* y 4.0) z) z))
77.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (* y 4.0) (- t)))
31.0ms	(* (* (* y 4.0) z) z)

simplify604.0ms

Counts

58 → 58

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	106	967
1	302	904
2	1259	736
done	5001	716

prune159.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))
21.5b	(cbrt (* (* (* y 4.0) z) z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

12.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
21.0ms	(cbrt (* (* (* y 4.0) z) z))
19.0ms	(cbrt (* (* (* y 4.0) z) z))
19.0ms	(cbrt (* (* (* y 4.0) z) z))

series484.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
112.0ms	(cbrt (* (* (* y 4.0) z) z))
110.0ms	(cbrt (* (* (* y 4.0) z) z))
110.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (424.0ms)

Iter	Nodes	Cost
0	95	1062
1	219	963
2	617	840
3	2532	713
done	5000	713

prune244.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes450.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	19	18
2	22	18
3	29	18
done	29	18

end0.0ms

sample859.0ms

Algorithm

intervals

Results

481.0ms

15841×

body

valid