Details

sample35.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
8	2001
7	1519
6	575
5	339
4	177
3	95
2	46
1	22
0	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
15.5b	(/ (* x x) (+ (* x x) (* y y)))
23.5b	(/ (* y y) (+ (* x x) (* y y)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`times-frac`
9×	`*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--` `insert-posit16`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 71

Calls

3 calls:

82.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
15.0ms	(/ (* x x) (+ (* x x) (* y y)))
22.0ms	(/ (* y y) (+ (* x x) (* y y)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
61.0ms	(/ (* x x) (+ (* x x) (* y y)))
68.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	2228
3	2228
2	1527
1	376
0	120

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

18.1b	(cbrt (/ (* x x) (+ (* x x) (* y y))))
18.1b	(cbrt (/ (* x x) (+ (* x x) (* y y))))
18.1b	(cbrt (/ (* x x) (+ (* x x) (* y y))))
23.5b	(/ (* y y) (+ (* x x) (* y y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `associate-/r*` `pow1/3`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

12.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
12.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
12.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
20.0ms	(/ (* y y) (+ (* x x) (* y y)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
173.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
144.0ms	(cbrt (/ (* x x) (+ (* x x) (* y y))))
51.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	2000
3	2000
2	1080
1	263
0	98

prune443.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes96.0ms

Accuracy

73.4% (5.3b remaining)

Error of 5.7b against oracle of 0.5b and baseline of 20.3b

bsearch246.0ms

Steps

Iters	Range		Point
10	9.017376886876375e-170	8.716472054328612e-160	5.33062675147924e-161
6	-1.4327488265462246e-211	-2.778524981170525e-212	-1.4153860890433093e-211
9	-2.136686633581268e-183	-2.3721941201325608e-189	-2.406936418392987e-189
10	-8.548720489344102e+154	-2.896109030498554e+140	-1.3330097877511057e+154

simplify10.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample1.8s

Algorithm

intervals

Results

961.0ms	8000×	body	80	valid
363.0ms	8000×	pre	80	true