Details

sample206.0ms

Algorithm

intervals

Results

92.0ms	124×	body	320	valid
45.0ms	268×	body	80	nan
41.0ms	126×	body	160	valid
1.0ms	6×	body	80	valid

simplify773.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	2005
4	1170
3	353
2	116
1	46
0	19

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize60.0ms

Local error

Found 4 expressions with local error:

7.4b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
8.0b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite102.0ms

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:

44.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
41.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

392.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
315.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
3	2002
2	1190
1	390
0	165

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 28.7b

localize88.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
7.4b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(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:

11.0ms	(- (* g g) (* h h))
36.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
11.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
425.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
72.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))

simplify968.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2001
3	2001
2	1038
1	328
0	137

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 28.3b

localize62.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
3.4b	(- (* g g) (* h h))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite39.0ms

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))
14.0ms	(- (* g g) (* h h))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* g g) (* h h))
41.0ms	(- (* g g) (* h h))
53.0ms	(sqrt (- (* g g) (* h h)))
62.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
4	2002
3	1567
2	347
1	129
0	57

prune1.5s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.3b

localize100.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
3.4b	(- (* g g) (* h h))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite64.0ms

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:

15.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
16.0ms	(sqrt (- (* g g) (* h h)))
16.0ms	(sqrt (- (* g g) (* h h)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* g g) (* h h))
61.0ms	(- (* g g) (* h h))
67.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
4	2002
3	1567
2	347
1	129
0	57

prune1.8s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 28.3b

regimes1.2s

Accuracy

0% (2.0b remaining)

Error of 31.1b against oracle of 29.1b and baseline of 31.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.0s	3720×	body	320	valid
1.6s	4131×	body	160	valid
1.5s	8017×	body	80	nan
23.0ms	149×	body	80	valid