Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	243
1	13	243
2	20	243
3	23	243
done	23	243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* z z))
32.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

12.0ms	(+ (* x x) (* y y))
34.0ms	(+ (+ (* x x) (* y y)) (* z z))
36.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x x) (* y y))
53.0ms	(+ (+ (* x x) (* y y)) (* z z))
130.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify801.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	74	16024
1	236	12193
2	1317	12123
done	5000	12123

prune213.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.3b

localize50.0ms

Local error

Found 4 expressions with local error:

32.7b	(sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
33.9b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
33.9b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
33.9b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

209.0ms	(sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
19.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
20.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
20.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
159.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
137.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
147.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.4s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	171	66678
1	316	55831
2	753	54881
3	3126	52641
done	5001	52641

prune471.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.3b

localize3.0ms

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

prune7.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.3b

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 19.3b

regimes774.0ms

Accuracy

63.2% (7.2b remaining)

Error of 25.7b against oracle of 18.5b and baseline of 38.2b

bsearch77.0ms

Steps

Iters	Range		Point
9	5.605877450284385e+142	5.3446694412844105e+147	3.408719160070714e+143
9	-1.9449249655492605e+111	-9.548992574131866e+103	-2.1993493867760175e+110

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	545
1	18	545
done	18	545

end0.0ms

sample745.0ms

Algorithm

intervals

Results

510.0ms

8000×

body

valid