Details

sample259.0ms

Algorithm

intervals

Results

86.0ms	124×	body	320	valid
81.0ms	126×	body	160	valid
60.0ms	268×	body	80	nan
1.0ms	6×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	1243
3	370
2	119
1	47
0	19

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize38.0ms

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)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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 → 72

Calls

4 calls:

52.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
27.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series993.0ms

Counts

4 → 12

Calls

4 calls:

429.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
416.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
82.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2004
3	2004
2	1274
1	408
0	171

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 29.4b

localize79.0ms

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)))

rewrite96.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
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` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
60.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
422.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
65.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	2006
3	2006
2	1111
1	342
0	146

prune1.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 28.9b

localize61.0ms

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)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

16.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
20.0ms	(sqrt (- (* g g) (* h h)))
29.0ms	(sqrt (- (* g g) (* h h)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* g g) (* h h))
36.0ms	(- (* g g) (* h h))
81.0ms	(sqrt (- (* g g) (* h h)))
86.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	2011
4	2011
3	1666
2	377
1	138
0	64

prune1.8s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.9b

localize71.0ms

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)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 74

Calls

4 calls:

14.0ms	(- (* g g) (* h h))
13.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))
18.0ms	(sqrt (- (* g g) (* h h)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* g g) (* h h))
34.0ms	(- (* g g) (* h h))
75.0ms	(sqrt (- (* g g) (* h h)))
80.0ms	(sqrt (- (* g g) (* h h)))

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	2011
4	2011
3	1666
2	377
1	138
0	64

prune1.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.9b

regimes1.3s

Accuracy

0% (1.6b remaining)

Error of 31.1b against oracle of 29.6b and baseline of 31.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.1s	3720×	body	320	valid
2.3s	4131×	body	160	valid
1.6s	8017×	body	80	nan
61.0ms	149×	body	80	valid