Details

sample190.0ms

Algorithm

intervals

Results

78.0ms	146×	body	160	valid
46.0ms	104×	body	320	valid
38.0ms	285×	body	80	nan
1.0ms	6×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 37.3b

localize56.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
9.1b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`cbrt-prod`
10×	`*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `cbrt-div` `times-frac`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `associate-*r/` `flip-+` `flip--`
1×	`associate-*l/` `div-inv` `distribute-lft-out--`

Counts

4 → 69

Calls

4 calls:

29.0ms	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
21.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
14.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series892.0ms

Counts

4 → 12

Calls

4 calls:

446.0ms	(cbrt (* (/ -1/2 a) (+ (sqrt (- (* g g) (* h h))) g)))
314.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
62.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	2000
3	2000
2	1070
1	431
0	199

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 33.1b

localize81.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
9.1b	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`cbrt-prod` `*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`pow1` `times-frac` `add-log-exp`
5×	`difference-of-squares`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-div` `sub-neg` `pow1/3` `diff-log` `div-inv` `distribute-lft-out--`

Counts

4 → 68

Calls

4 calls:

13.0ms	(- (* g g) (* h h))
15.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
340.0ms	(cbrt (/ (- (sqrt (- (* g g) (* h h))) g) (* 2 a)))
48.0ms	(sqrt (- (* g g) (* h h)))
83.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	2003
3	2003
2	775
1	323
0	158

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.6b

localize112.0ms

Local error

Found 4 expressions with local error:

31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

13.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))
84.0ms	(sqrt (- (* g g) (* h h)))

simplify972.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2001
5	2001
4	1120
3	471
2	205
1	99
0	45

prune1.9s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 32.6b

localize50.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
4.4b	(- (* g g) (* h h))
31.7b	(sqrt (- (* g g) (* h h)))
31.7b	(sqrt (- (* g g) (* h h)))

rewrite52.0ms

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:

14.0ms	(- (* g g) (* h h))
22.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* g g) (* h h))
33.0ms	(- (* g g) (* h h))
58.0ms	(sqrt (- (* g g) (* h h)))
75.0ms	(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

prune1.4s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 32.6b

regimes822.0ms

Accuracy

0% (2.2b remaining)

Error of 32.3b against oracle of 30.1b and baseline of 32.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.4s	3746×	body	320	valid
2.3s	4124×	body	160	valid
2.2s	8203×	body	80	nan
24.0ms	130×	body	80	valid