Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	19	12
done	19	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
33.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

11.0ms	(+ (+ (* x x) (* y y)) (* z z))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (+ (* x x) (* y y)) (* z z))
99.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify922.0ms

Counts

34 → 34

Iterations

Useful iterations: 3 (219.0ms)

Iter	Nodes	Cost
0	58	576
1	144	534
2	490	490
3	2099	474
done	5001	474

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.5b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
33.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
33.0b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

11.0ms	(+ (+ (* x x) (* y y)) (* z z))
68.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (* x x) (* y y)) (* z z))
290.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
100.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
102.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.0s

Counts

138 → 138

Iterations

Useful iterations: 3 (593.0ms)

Iter	Nodes	Cost
0	131	3932
1	256	2558
2	788	2348
3	3741	2243
done	5001	2243

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 15.0b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 15.0b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 15.0b

regimes322.0ms

Accuracy

63% (7.3b remaining)

Error of 25.3b against oracle of 18.0b and baseline of 37.7b

bsearch35.0ms

Steps

Iters	Range		Point
6	3.650177451866855e+47	2.9065697900383553e+48	2.8724218780029053e+48
4	-1.0052114427254143e+123	-6.5309962722429555e+122	-9.039422735503004e+122

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample409.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid