Details

sample111.0ms

Algorithm

intervals

Results

29.0ms	109×	body	320	valid
26.0ms	145×	body	160	valid
22.0ms	266×	body	80	nan
0.0ms	2×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (48.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize37.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
7.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

42.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
61.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series920.0ms

Counts

4 → 12

Calls

4 calls:

411.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
355.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
77.0ms	(sqrt (- (* g g) (* h h)))
76.0ms	(sqrt (- (* g g) (* h h)))

simplify980.0ms

Counts

80 → 80

Iterations

Useful iterations: done (977.0ms)

Iter	Nodes	Cost
0	172	1528
1	415	1349
2	1517	1225
done	5000	1184

prune777.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.5b

localize60.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite115.0ms

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`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `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 → 69

Calls

4 calls:

9.0ms	(- (* g g) (* h h))
59.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
22.0ms	(sqrt (- (* g g) (* h h)))
23.0ms	(sqrt (- (* g g) (* h h)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* g g) (* h h))
408.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
83.0ms	(sqrt (- (* g g) (* h h)))
72.0ms	(sqrt (- (* g g) (* h h)))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	146	1220
1	358	1084
2	1679	960
done	5001	940

prune656.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.2b

localize28.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
3.0b	(- (* g g) (* h h))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite73.0ms

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:

17.0ms	(- (* g g) (* h h))
15.0ms	(- (* g g) (* h h))
25.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
35.0ms	(- (* g g) (* h h))
65.0ms	(sqrt (- (* g g) (* h h)))
83.0ms	(sqrt (- (* g g) (* h h)))

simplify524.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (104.0ms)

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

prune694.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 27.2b

localize60.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* g g) (* h h))
3.0b	(- (* g g) (* h h))
25.7b	(sqrt (- (* g g) (* h h)))
25.7b	(sqrt (- (* g g) (* h h)))

rewrite98.0ms

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:

18.0ms	(- (* g g) (* h h))
30.0ms	(- (* g g) (* h h))
23.0ms	(sqrt (- (* g g) (* h h)))
24.0ms	(sqrt (- (* g g) (* h h)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* g g) (* h h))
48.0ms	(- (* g g) (* h h))
57.0ms	(sqrt (- (* g g) (* h h)))
84.0ms	(sqrt (- (* g g) (* h h)))

simplify642.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (158.0ms)

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

prune575.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 27.2b

regimes1.0s

Accuracy

0% (1.3b remaining)

Error of 32.2b against oracle of 30.9b and baseline of 32.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.9s	3668×	body	320	valid
1.7s	8069×	body	80	nan
1.2s	4192×	body	160	valid
15.0ms	140×	body	80	valid