Details

sample153.0ms

Algorithm

intervals

Results

42.0ms	140×	body	160	valid
41.0ms	109×	body	320	valid
28.0ms	231×	body	80	nan
1.0ms	7×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	19	37
1	44	37
2	125	36
3	315	36
4	640	36
5	1087	36
6	1581	36
7	2180	36
8	4936	36
done	5000	36

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize48.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
30.4b	(sqrt (- (* g g) (* h h)))
30.4b	(sqrt (- (* g g) (* h h)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
4×	`add-exp-log` `expm1-log1p-u` `frac-times` `sqrt-div` `associate-*r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `associate-*l/` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

59.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
70.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
25.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

460.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
475.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
58.0ms	(sqrt (- (* g g) (* h h)))
80.0ms	(sqrt (- (* g g) (* h h)))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	183	1500
1	418	1325
2	1557	1219
done	5002	1192

prune697.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.7b

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
8.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
30.4b	(sqrt (- (* g g) (* h h)))
30.4b	(sqrt (- (* g g) (* h h)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `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 → 69

Calls

4 calls:

17.0ms	(- (* g g) (* h h))
109.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
24.0ms	(sqrt (- (* g g) (* h h)))
23.0ms	(sqrt (- (* g g) (* h h)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
421.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
85.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	1192
1	325	1060
2	1391	956
done	5000	946

prune629.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 32.4b

localize48.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
4.4b	(- (* g g) (* h h))
30.4b	(sqrt (- (* g g) (* h h)))
30.4b	(sqrt (- (* g g) (* h h)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

15.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
12.0ms	(sqrt (- (* g g) (* h h)))
15.0ms	(sqrt (- (* g g) (* h h)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* g g) (* h h))
39.0ms	(- (* g g) (* h h))
66.0ms	(sqrt (- (* g g) (* h h)))
77.0ms	(sqrt (- (* g g) (* h h)))

simplify671.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	62	912
1	151	832
2	699	722
done	5001	722

prune643.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 32.4b

localize34.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
8.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
30.4b	(sqrt (- (* g g) (* h h)))
30.4b	(sqrt (- (* g g) (* h h)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `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 → 69

Calls

4 calls:

15.0ms	(- (* g g) (* h h))
58.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
14.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* g g) (* h h))
444.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
51.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	1192
1	325	1060
2	1391	956
done	5000	946

prune547.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 32.4b

regimes986.0ms

Accuracy

0% (1.5b remaining)

Error of 31.9b against oracle of 30.4b and baseline of 31.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	25	38
done	25	38

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	3697×	body	320	valid
1.5s	4159×	body	160	valid
1.0s	7982×	body	80	nan
14.0ms	144×	body	80	valid