Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify239.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize25.0ms

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)))

rewrite59.0ms

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))
44.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (* x x) (* (* y 4.0) y))
88.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1501
1	255
0	91

prune330.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize33.0ms

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)))

rewrite153.0ms

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:

82.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
13.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
47.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
96.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
104.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify2.8s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	4256
1	723
0	255

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize47.0ms

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)))

rewrite143.0ms

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:

13.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
37.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
47.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
42.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
74.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
83.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
67.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	2358
1	328
0	104

prune940.0ms

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

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes336.0ms

Accuracy

56.7% (13.4b remaining)

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

bsearch236.0ms

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

simplify11.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample791.0ms

Algorithm

intervals

Results

524.0ms

8000×

body

valid