Details

sample153.0ms

Algorithm

intervals

Results

44.0ms	134×	body	160	valid
39.0ms	118×	body	320	valid
32.0ms	301×	body	80	nan
1.0ms	4×	body	80	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	645
1	43	645
2	122	645
3	298	645
4	584	645
5	947	645
6	1286	645
7	1834	645
8	4583	645
done	5000	645

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize65.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
25.9b	(sqrt (- (* g g) (* h h)))
25.9b	(sqrt (- (* g g) (* h h)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `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:

28.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
27.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

477.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
493.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
57.0ms	(sqrt (- (* g g) (* h h)))
51.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	166	30698
1	395	27446
2	1399	26606
done	5001	25926

prune793.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 26.9b

localize102.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
25.9b	(sqrt (- (* g g) (* h h)))
25.9b	(sqrt (- (* g g) (* h h)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
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:

6.0ms	(- (* g g) (* h h))
31.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* g g) (* h h))
417.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
67.0ms	(sqrt (- (* g g) (* h h)))
86.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	24154
1	321	20671
2	1538	20431
done	5000	20111

prune886.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 26.2b

localize97.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
3.0b	(- (* g g) (* h h))
25.9b	(sqrt (- (* g g) (* h h)))
25.9b	(sqrt (- (* g g) (* h h)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
12.0ms	(- (* g g) (* h h))
14.0ms	(sqrt (- (* g g) (* h h)))
23.0ms	(sqrt (- (* g g) (* h h)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
50.0ms	(- (* g g) (* h h))
75.0ms	(sqrt (- (* g g) (* h h)))
85.0ms	(sqrt (- (* g g) (* h h)))

simplify782.0ms

Counts

70 → 70

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	55	17610
1	141	13896
2	673	13896
done	5000	13896

prune713.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 26.2b

localize100.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
25.9b	(sqrt (- (* g g) (* h h)))
25.9b	(sqrt (- (* g g) (* h h)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
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:

6.0ms	(- (* g g) (* h h))
40.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* g g) (* h h))
446.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	24154
1	321	20671
2	1538	20431
done	5000	20111

prune706.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.2b

regimes1.2s

Accuracy

0% (1.7b remaining)

Error of 32.1b against oracle of 30.3b and baseline of 32.1b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	725
1	25	725
done	25	725

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	8173×	body	80	nan
1.6s	3741×	body	320	valid
1.1s	4125×	body	160	valid
14.0ms	134×	body	80	valid