Details

sample246.0ms

Algorithm

intervals

Results

79.0ms	122×	body	320	valid
77.0ms	127×	body	160	valid
57.0ms	270×	body	80	nan
1.0ms	7×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2529
5	1599
4	844
3	368
2	117
1	45
0	19

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.1b

localize62.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.3b	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite138.0ms

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:

38.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
59.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
20.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

388.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
377.0ms	(cbrt (* (/ 1 (* 2 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
77.0ms	(sqrt (- (* g g) (* h h)))
80.0ms	(sqrt (- (* g g) (* h h)))

simplify4.4s

Counts

84 → 84

Iterations

Iter	Nodes
3	4638
2	1243
1	407
0	171

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.8b

localize55.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.3b	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite88.0ms

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` `flip3--` `flip--`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `associate-*l/`

Counts

4 → 73

Calls

4 calls:

17.0ms	(- (* g g) (* h h))
33.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
15.0ms	(sqrt (- (* g g) (* h h)))
19.0ms	(sqrt (- (* g g) (* h h)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
397.0ms	(cbrt (* (/ 1 (* 2 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
67.0ms	(sqrt (- (* g g) (* h h)))
66.0ms	(sqrt (- (* g g) (* h h)))

simplify2.7s

Counts

85 → 85

Iterations

Iter	Nodes
3	3949
2	1028
1	321
0	145

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.2b

localize59.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite60.0ms

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:

22.0ms	(- (* g g) (* h h))
15.0ms	(- (* g g) (* h h))
11.0ms	(sqrt (- (* g g) (* h h)))
10.0ms	(sqrt (- (* g g) (* h h)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
48.0ms	(- (* g g) (* h h))
56.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))

simplify4.6s

Counts

86 → 86

Iterations

Iter	Nodes
4	8974
3	1671
2	397
1	136
0	64

prune1.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 31.2b

localize64.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
3.6b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite62.0ms

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))
14.0ms	(- (* g g) (* h h))
16.0ms	(sqrt (- (* g g) (* h h)))
17.0ms	(sqrt (- (* g g) (* h h)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
59.0ms	(- (* g g) (* h h))
80.0ms	(sqrt (- (* g g) (* h h)))
89.0ms	(sqrt (- (* g g) (* h h)))

simplify5.1s

Counts

86 → 86

Iterations

Iter	Nodes
4	8974
3	1671
2	397
1	136
0	64

prune1.6s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 31.2b

regimes1.4s

Accuracy

0% (2.2b remaining)

Error of 31.9b against oracle of 29.7b and baseline of 31.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	25
1	25
0	20

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.7s	3841×	body	320	valid
2.2s	7989×	body	80	nan
2.2s	4017×	body	160	valid
26.0ms	142×	body	80	valid