Details

sample170.0ms

Algorithm

intervals

Results

44.0ms	120×	body	320	valid
43.0ms	286×	body	80	nan
32.0ms	129×	body	160	valid
1.0ms	7×	body	80	valid

simplify8.8s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize234.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
9.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite237.0ms

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:

79.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
90.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
39.0ms	(sqrt (- (* g g) (* h h)))
25.0ms	(sqrt (- (* g g) (* h h)))

series1.6s

Counts

4 → 12

Calls

4 calls:

701.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
727.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
65.0ms	(sqrt (- (* g g) (* h h)))
71.0ms	(sqrt (- (* g g) (* h h)))

simplify8.2s

Counts

76 → 76

Iterations

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

prune1.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.6b

localize266.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite218.0ms

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

Counts

4 → 63

Calls

4 calls:

37.0ms	(- (* g g) (* h h))
104.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
39.0ms	(sqrt (- (* g g) (* h h)))
32.0ms	(sqrt (- (* g g) (* h h)))

series1.0s

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* g g) (* h h))
793.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
79.0ms	(sqrt (- (* g g) (* h h)))
84.0ms	(sqrt (- (* g g) (* h h)))

simplify6.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	3894
2	991
1	308
0	138

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.1b

localize294.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite119.0ms

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:

18.0ms	(- (* g g) (* h h))
27.0ms	(- (* g g) (* h h))
35.0ms	(sqrt (- (* g g) (* h h)))
36.0ms	(sqrt (- (* g g) (* h h)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* g g) (* h h))
59.0ms	(- (* g g) (* h h))
65.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(sqrt (- (* g g) (* h h)))

simplify3.4s

Counts

74 → 74

Iterations

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

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 32.1b

localize293.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
5.0b	(- (* g g) (* h h))
30.8b	(sqrt (- (* g g) (* h h)))
30.8b	(sqrt (- (* g g) (* h h)))

rewrite129.0ms

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:

34.0ms	(- (* g g) (* h h))
18.0ms	(- (* g g) (* h h))
32.0ms	(sqrt (- (* g g) (* h h)))
40.0ms	(sqrt (- (* g g) (* h h)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* g g) (* h h))
56.0ms	(- (* g g) (* h h))
88.0ms	(sqrt (- (* g g) (* h h)))
87.0ms	(sqrt (- (* g g) (* h h)))

simplify3.2s

Counts

74 → 74

Iterations

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

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 32.1b

regimes2.7s

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.8s	3805×	body	320	valid
1.5s	4059×	body	160	valid
1.3s	8083×	body	80	nan
23.0ms	136×	body	80	valid