Details

sample161.0ms

Algorithm

intervals

Results

43.0ms	126×	body	320	valid
37.0ms	127×	body	160	valid
27.0ms	251×	body	80	nan
0.0ms	3×	body	80	valid

simplify8.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2064
7	1304
6	1067
5	847
4	542
3	270
2	121
1	43
0	19

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize141.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `insert-posit16` `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 → 64

Calls

4 calls:

73.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
88.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
24.0ms	(sqrt (- (* g g) (* h h)))
13.0ms	(sqrt (- (* g g) (* h h)))

series1.7s

Counts

4 → 12

Calls

4 calls:

757.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
709.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
104.0ms	(sqrt (- (* g g) (* h h)))
98.0ms	(sqrt (- (* g g) (* h h)))

simplify7.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	4606
2	1259
1	390
0	169

prune1.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 27.7b

localize140.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
8.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite122.0ms

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×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
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` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 63

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
64.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
18.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* g g) (* h h))
815.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
109.0ms	(sqrt (- (* g g) (* h h)))
97.0ms	(sqrt (- (* g g) (* h h)))

simplify6.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	4270
2	1043
1	330
0	140

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 27.3b

localize167.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

22.0ms	(- (* g g) (* h h))
16.0ms	(- (* g g) (* h h))
13.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* g g) (* h h))
78.0ms	(- (* g g) (* h h))
83.0ms	(sqrt (- (* g g) (* h h)))
88.0ms	(sqrt (- (* g g) (* h h)))

simplify3.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5006
3	1566
2	349
1	129
0	57

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 27.3b

localize173.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
2.6b	(- (* g g) (* h h))
26.5b	(sqrt (- (* g g) (* h h)))
26.5b	(sqrt (- (* g g) (* h h)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 62

Calls

4 calls:

10.0ms	(- (* g g) (* h h))
12.0ms	(- (* g g) (* h h))
24.0ms	(sqrt (- (* g g) (* h h)))
28.0ms	(sqrt (- (* g g) (* h h)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* g g) (* h h))
78.0ms	(- (* g g) (* h h))
75.0ms	(sqrt (- (* g g) (* h h)))
104.0ms	(sqrt (- (* g g) (* h h)))

simplify3.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5006
3	1566
2	349
1	129
0	57

prune1.2s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 27.3b

regimes3.7s

Accuracy

0% (1.6b remaining)

Error of 32.7b against oracle of 31.1b and baseline of 32.7b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.0s	8035×	body	80	nan
1.5s	3724×	body	320	valid
1.0s	4130×	body	160	valid
16.0ms	146×	body	80	valid