Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify280.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	243
1	19	243
2	39	243
3	77	243
4	133	243
5	199	243
6	244	243
7	252	243
done	252	243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize20.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (* x x) (* (* y 4.0) y))
29.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

13.0ms	(- (* x x) (* (* y 4.0) y))
43.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x x) (* (* y 4.0) y))
121.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	91	19859
1	255	17651
2	1501	17511
done	5000	17526

prune358.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
19.0b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

81×	`prod-diff`
64×	`times-frac`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
46×	`associate-/r/`
45×	`add-cube-cbrt`
23×	`flip3-+` `flip-+` `div-inv`
17×	`add-cbrt-cube` `add-exp-log`
9×	`fma-neg`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l*` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 164

Calls

3 calls:

123.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
26.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
42.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series378.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
117.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
118.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify3.3s

Counts

173 → 173

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	255	118232
1	723	100927
2	4256	89255
done	5000	89255

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize81.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
11×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 106

Calls

4 calls:

18.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
31.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
37.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
102.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
101.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
132.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify2.5s

Counts

118 → 118

Iterations

Useful iterations: 2 (524.0ms)

Iter	Nodes	Cost
0	104	34899
1	328	29762
2	2358	27592
done	5002	27592

prune708.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes271.0ms

Accuracy

56.7% (13.4b remaining)

Error of 13.8b against oracle of 0.3b and baseline of 31.4b

bsearch257.0ms

Steps

Iters	Range		Point
9	1.8841348729660574e+121	3.270754152227266e+128	7.3735183150701e+127
6	1.9438090553147822e-153	1.5544812808461908e-152	2.1395518106041052e-153
7	-2.6703146002526768e+20	-6.809545746203195e+18	-9.211266202426182e+18
7	-4.6693392046439585e+80	-2.8553313065515472e+79	-4.332313917220749e+80
8	-1.4870231680618705e+126	-3.431305599926169e+122	-4.754864512281886e+122

simplify31.0ms

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	30	1100
1	36	1100
done	36	1100

end0.0ms

sample700.0ms

Algorithm

intervals

Results

513.0ms

8000×

body

valid