Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
33.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

40.0ms	(+ (+ (* x x) (* y y)) (* z z))
32.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (+ (* x x) (* y y)) (* z z))
145.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.1s

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
2	802
1	163
0	58

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 17.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.4b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
33.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
33.7b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

25.0ms	(+ (+ (* x x) (* y y)) (* z z))
127.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
23.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
23.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ (* x x) (* y y)) (* z z))
157.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
176.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
159.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.8s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1673
1	316
0	131

prune557.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 17.2b

localize2.0ms

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

prune11.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 17.2b

localize3.0ms

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 17.2b

regimes741.0ms

Accuracy

60.8% (7.7b remaining)

Error of 25.7b against oracle of 17.9b and baseline of 37.7b

bsearch92.0ms

Steps

Iters	Range		Point
8	7.95134694153949e+90	1.3754392491595687e+95	7.495231207769667e+94
11	-1.718776312539675e+54	-2.0346378402041832e+34	-8.211230074550795e+53

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

819.0ms

8000×

body

valid