Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	121×	body	320	valid
14.0ms	128×	body	160	valid
13.0ms	259×	body	80	nan
0.0ms	7×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	19	37
1	43	37
2	119	36
3	283	36
4	528	36
5	771	36
6	932	36
7	1131	36
8	2408	36
done	5000	36

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.4b

localize17.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
32.6b	(sqrt (- (* g g) (* h h)))
32.6b	(sqrt (- (* g g) (* h h)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

19.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
17.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
325.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(sqrt (- (* g g) (* h h)))
46.0ms	(sqrt (- (* g g) (* h h)))

simplify2.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (695.0ms)

Iter	Nodes	Cost
0	166	1416
1	385	1249
2	1231	1135
3	4808	1078
done	5000	1078

prune419.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 34.3b

localize19.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* g g) (* h h))
6.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.6b	(sqrt (- (* g g) (* h h)))
32.6b	(sqrt (- (* g g) (* h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

3.0ms	(- (* g g) (* h h))
17.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* g g) (* h h))
322.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
46.0ms	(sqrt (- (* g g) (* h h)))
50.0ms	(sqrt (- (* g g) (* h h)))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (944.0ms)

Iter	Nodes	Cost
0	135	1112
1	296	991
2	1037	887
3	4996	865
done	5000	865

prune431.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 33.7b

localize19.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* g g) (* h h))
4.2b	(- (* g g) (* h h))
32.6b	(sqrt (- (* g g) (* h h)))
32.6b	(sqrt (- (* g g) (* h h)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

2.0ms	(- (* g g) (* h h))
2.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
31.0ms	(- (* g g) (* h h))
46.0ms	(sqrt (- (* g g) (* h h)))
49.0ms	(sqrt (- (* g g) (* h h)))

simplify672.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	55	808
1	122	744
2	381	640
3	1520	640
done	5000	640

prune430.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 33.7b

localize25.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* g g) (* h h))
4.2b	(- (* g g) (* h h))
32.6b	(sqrt (- (* g g) (* h h)))
32.6b	(sqrt (- (* g g) (* h h)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

3.0ms	(- (* g g) (* h h))
3.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
32.0ms	(- (* g g) (* h h))
53.0ms	(sqrt (- (* g g) (* h h)))
47.0ms	(sqrt (- (* g g) (* h h)))

simplify668.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	55	808
1	122	744
2	381	640
3	1520	640
done	5000	640

prune355.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 33.7b

regimes774.0ms

Accuracy

0% (1.8b remaining)

Error of 33.0b against oracle of 31.2b and baseline of 33.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	24	38
done	24	38

end0.0ms

sample1.8s

Algorithm

intervals

Results

609.0ms	3755×	body	320	valid
438.0ms	4089×	body	160	valid
380.0ms	7743×	body	80	nan
8.0ms	156×	body	80	valid