Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	119×	body	320	valid
20.0ms	134×	body	160	valid
17.0ms	257×	body	80	nan
0.0ms	3×	body	80	valid

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2537
7	1639
6	1310
5	984
4	595
3	287
2	124
1	44
0	19

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize86.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
10.9b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite88.0ms

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` `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 → 68

Calls

4 calls:

31.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
9.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

475.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
437.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
69.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify3.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	4894
2	1302
1	406
0	172

prune964.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 34.8b

localize67.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
9.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite85.0ms

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` `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:

13.0ms	(- (* g g) (* h h))
31.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
14.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
438.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
69.0ms	(sqrt (- (* g g) (* h h)))
61.0ms	(sqrt (- (* g g) (* h h)))

simplify2.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	4138
2	1020
1	320
0	144

prune843.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 34.4b

localize82.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
5.4b	(- (* g g) (* h h))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite35.0ms

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` `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 → 70

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
7.0ms	(- (* g g) (* h h))
9.0ms	(sqrt (- (* g g) (* h h)))
11.0ms	(sqrt (- (* g g) (* h h)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* g g) (* h h))
49.0ms	(- (* g g) (* h h))
55.0ms	(sqrt (- (* g g) (* h h)))
55.0ms	(sqrt (- (* g g) (* h h)))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5022
3	1658
2	371
1	136
0	62

prune901.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 34.4b

localize67.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* g g) (* h h))
5.4b	(- (* g g) (* h h))
32.4b	(sqrt (- (* g g) (* h h)))
32.4b	(sqrt (- (* g g) (* h h)))

rewrite31.0ms

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` `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 → 70

Calls

4 calls:

7.0ms	(- (* g g) (* h h))
6.0ms	(- (* g g) (* h h))
8.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* g g) (* h h))
37.0ms	(- (* g g) (* h h))
58.0ms	(sqrt (- (* g g) (* h h)))
69.0ms	(sqrt (- (* g g) (* h h)))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5022
3	1658
2	371
1	136
0	62

prune690.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 34.4b

regimes1.1s

Accuracy

0% (1.4b remaining)

Error of 32.2b against oracle of 30.8b and baseline of 32.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.8s	3738×	body	320	valid
1.3s	4118×	body	160	valid
1.1s	7974×	body	80	nan
15.0ms	144×	body	80	valid