Details

sample141.0ms

Algorithm

intervals

Results

47.0ms	251×	body	80	nan
42.0ms	126×	body	320	valid
27.0ms	127×	body	160	valid
0.0ms	3×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3455
4	1170
3	353
2	116
1	46
0	19

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize58.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite131.0ms

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:

69.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
42.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

435.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
419.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
82.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))

simplify3.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	4329
2	1190
1	390
0	165

prune833.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 26.8b

localize59.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite70.0ms

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`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 63

Calls

4 calls:

9.0ms	(- (* g g) (* h h))
42.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
417.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
50.0ms	(sqrt (- (* g g) (* h h)))
70.0ms	(sqrt (- (* g g) (* h h)))

simplify3.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	4563
2	1038
1	328
0	137

prune836.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 26.4b

localize80.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite59.0ms

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:

8.0ms	(- (* g g) (* h h))
9.0ms	(- (* g g) (* h h))
16.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* g g) (* h h))
47.0ms	(- (* g g) (* h h))
59.0ms	(sqrt (- (* g g) (* h h)))
58.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5025
3	1567
2	347
1	129
0	57

prune722.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 26.4b

localize72.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.5b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite87.0ms

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`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 63

Calls

4 calls:

13.0ms	(- (* g g) (* h h))
49.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
15.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* g g) (* h h))
455.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))

simplify3.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	4563
2	1038
1	328
0	137

prune497.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 26.4b

regimes1.0s

Accuracy

56.9% (1.6b remaining)

Error of 31.7b against oracle of 30.0b and baseline of 33.8b

bsearch272.0ms

Steps

Iters	Range		Point
10	-1.0379169882309884e-191	-1.149502580977988e-207	-1.0197648282366805e-191

simplify10.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	3724×	body	320	valid
1.1s	8035×	body	80	nan
1.1s	4130×	body	160	valid
15.0ms	146×	body	80	valid