Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	13
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize88.0ms

Local error

Found 1 expressions with local error:

35.6b

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

60.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series201.0ms

Counts

1 → 3

Calls

1 calls:

200.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify10.5s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	3292
3	939
2	265
1	92
0	41

prune380.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.3b

localize41.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
35.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
35.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
49×	`add-sqr-sqrt`
34×	`sqrt-pow1`
28×	`pow1` `sqrt-div`
18×	`pow1/2`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
8×	`flip3-+` `flip-+`
5×	`add-exp-log` `pow-prod-down` `pow-sqr` `add-cbrt-cube`
4×	`frac-times`
3×	`add-log-exp`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 113

Calls

3 calls:

589.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
74.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
403.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series1.7s

Counts

3 → 9

Calls

3 calls:

519.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
608.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
546.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify9.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
3	1844
2	567
1	238
0	115

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 18.3b

localize5.0ms

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

prune14.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 18.3b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 18.3b

regimes2.6s

Accuracy

63.9% (7.0b remaining)

Error of 25.3b against oracle of 18.4b and baseline of 37.7b

bsearch407.0ms

Steps

Iters	Range		Point
7	4.618629416418565e+91	9.697809572055496e+93	9.445373192608024e+93
8	-2.3248803182338104e+96	-1.0335410165725188e+93	-2.114597052343944e+96

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.9s

8000×

body

valid