Details

sample198.0ms

Algorithm

intervals

Results

67.0ms	126×	body	320	valid
57.0ms	257×	body	80	nan
46.0ms	127×	body	160	valid
1.0ms	3×	body	80	valid

simplify689.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
4	1170
3	353
2	116
1	46
0	19

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 36.3b

localize58.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.1b	(sqrt (- (* g g) (* h h)))
31.1b	(sqrt (- (* g g) (* h h)))

rewrite88.0ms

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` `insert-posit16` `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 → 64

Calls

4 calls:

28.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
41.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

405.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
387.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
83.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify999.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
2	1190
1	390
0	165

prune755.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 31.4b

localize57.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (* g g) (* h h))
10.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.1b	(sqrt (- (* g g) (* h h)))
31.1b	(sqrt (- (* g g) (* h h)))

rewrite55.0ms

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` `insert-posit16`
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 → 63

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
28.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
347.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
77.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))

simplify694.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2000
2	994
1	308
0	136

prune698.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 30.0b

localize71.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (* g g) (* h h))
4.0b	(- (* g g) (* h h))
31.1b	(sqrt (- (* g g) (* h h)))
31.1b	(sqrt (- (* g g) (* h h)))

rewrite34.0ms

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` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
8.0ms	(- (* g g) (* h h))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* g g) (* h h))
47.0ms	(- (* g g) (* h h))
72.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))

simplify789.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
3	1567
2	347
1	129
0	57

prune693.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 30.0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (* g g) (* h h))
10.8b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
31.1b	(sqrt (- (* g g) (* h h)))
31.1b	(sqrt (- (* g g) (* h h)))

rewrite88.0ms

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` `insert-posit16`
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 → 63

Calls

4 calls:

14.0ms	(- (* g g) (* h h))
48.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
16.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* g g) (* h h))
374.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
73.0ms	(sqrt (- (* g g) (* h h)))

simplify780.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2000
2	994
1	308
0	136

prune545.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 29.9b

regimes1.1s

Accuracy

57.7% (1.7b remaining)

Error of 30.5b against oracle of 28.7b and baseline of 32.8b

bsearch297.0ms

Steps

Iters	Range		Point
9	1.5323158258855582e-158	2.3099876174195666e-151	1.5535024974663892e-158

simplify10.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.6s	3756×	body	320	valid
1.9s	8161×	body	80	nan
1.8s	4087×	body	160	valid
24.0ms	157×	body	80	valid