Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	20	12
3	22	12
done	22	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
34.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) (* y y))
120.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify632.0ms

Counts

32 → 32

Iterations

Useful iterations: done (631.0ms)

Iter	Nodes	Cost
0	63	471
1	197	431
2	969	387
done	5001	381

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(pow (+ (* x x) (* y y)) 3)
21.3b	(cbrt (pow (+ (* x x) (* y y)) 3))
34.7b	(sqrt (+ (cbrt (pow (+ (* x x) (* y y)) 3)) (* z z)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `sqrt-prod`
2×	`cube-mult` `cbrt-div` `sqrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 74

Calls

4 calls:

11.0ms	(+ (* x x) (* y y))
17.0ms	(pow (+ (* x x) (* y y)) 3)
14.0ms	(cbrt (pow (+ (* x x) (* y y)) 3))
116.0ms	(sqrt (+ (cbrt (pow (+ (* x x) (* y y)) 3)) (* z z)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x x) (* y y))
76.0ms	(pow (+ (* x x) (* y y)) 3)
32.0ms	(cbrt (pow (+ (* x x) (* y y)) 3))
112.0ms	(sqrt (+ (cbrt (pow (+ (* x x) (* y y)) 3)) (* z z)))

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: 2 (364.0ms)

Iter	Nodes	Cost
0	120	1452
1	382	1135
2	2508	1009
done	5001	1009

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.1b

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

prune6.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 19.1b

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

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 19.1b

regimes392.0ms

Accuracy

62% (7.4b remaining)

Error of 25.5b against oracle of 18.1b and baseline of 37.7b

bsearch90.0ms

Steps

Iters	Range		Point
10	1.0351447807322186e+134	9.971512115957523e+149	2.822964666556509e+137
9	-2.4966868535704454e+104	-1.1338304569119937e+98	-2.4671741178496777e+104

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	23
1	18	23
done	18	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

861.0ms

8000×

body

valid