Details

sample149.0ms

Algorithm

intervals

Results

48.0ms	126×	body	160	valid
46.0ms	124×	body	320	valid
32.0ms	268×	body	80	nan
1.0ms	6×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize63.0ms

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)))

rewrite139.0ms

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:

50.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
49.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
22.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

465.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
436.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
69.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify1.6s

Counts

84 → 84

Iterations

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

prune851.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 29.4b

localize52.0ms

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)))

rewrite82.0ms

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:

14.0ms	(- (* g g) (* h h))
42.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
15.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
373.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
71.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

85 → 85

Iterations

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

prune926.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 28.9b

localize77.0ms

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)))

rewrite48.0ms

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:

17.0ms	(- (* g g) (* h h))
10.0ms	(- (* g g) (* h h))
10.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* g g) (* h h))
63.0ms	(- (* g g) (* h h))
84.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(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

prune888.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.9b

localize86.0ms

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)))

rewrite83.0ms

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:

17.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
20.0ms	(sqrt (- (* g g) (* h h)))
20.0ms	(sqrt (- (* g g) (* h h)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* g g) (* h h))
57.0ms	(- (* g g) (* h h))
83.0ms	(sqrt (- (* g g) (* h h)))
84.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

86 → 86

Iterations

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

prune625.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.9b

regimes1.1s

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.2s	3720×	body	320	valid
1.9s	4131×	body	160	valid
1.8s	8017×	body	80	nan
32.0ms	149×	body	80	valid