Details

sample63.0ms

Algorithm

intervals

Results

33.0ms	256×	body	80	valid
13.0ms	256×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
8	2884
7	1046
6	573
5	339
4	177
3	95
2	46
1	22
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
13.8b	(/ (* x x) (+ (* x x) (* y y)))
23.7b	(/ (* y y) (+ (* x x) (* y y)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

13.0ms	(+ (* x x) (* y y))
112.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
30.0ms	(/ (* x x) (+ (* x x) (* y y)))
37.0ms	(/ (* y y) (+ (* x x) (* y y)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* y y))
91.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
63.0ms	(/ (* x x) (+ (* x x) (* y y)))
61.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
3	3588
2	1127
1	372
0	132

prune727.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
13.8b	(/ (* x x) (+ (* x x) (* y y)))
23.7b	(/ (* y y) (+ (* y y) (* x x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (* x x) (* y y))
76.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
26.0ms	(/ (* x x) (+ (* x x) (* y y)))
14.0ms	(/ (* y y) (+ (* y y) (* x x)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x x) (* y y))
113.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
62.0ms	(/ (* x x) (+ (* x x) (* y y)))
57.0ms	(/ (* y y) (+ (* y y) (* x x)))

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	5382
2	1438
1	420
0	142

prune610.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

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
1	0
0	0

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

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
1	0
0	0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes126.0ms

Accuracy

75.9% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 19.8b

bsearch142.0ms

Steps

Iters	Range	Point
9	6.810393354458645e-170	3.634876864120329e-162	3.4681229867935913e-162
9	-3.7721195140921854e-149	-1.8437943018341673e-154	-1.0184496907077957e-153
8	-1.542727211461463e+154	-3.554202870153192e+151	-1.3381309335657303e+154

Iters

Range

Point

6.810393354458645e-170

3.634876864120329e-162

3.4681229867935913e-162

-3.7721195140921854e-149

-1.8437943018341673e-154

-1.0184496907077957e-153

-1.542727211461463e+154

-3.554202870153192e+151

-1.3381309335657303e+154

simplify7.0ms

Iterations

Iter	Nodes
2	23
1	23
0	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

921.0ms	8000×	body	80	valid
424.0ms	8000×	pre	80	true