Details

sample143.0ms

Algorithm

intervals

Results

56.0ms	143×	body	320	valid
38.0ms	109×	body	160	valid
28.0ms	227×	body	80	nan
0.0ms	4×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3455
4	1170
3	353
2	116
1	46
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize51.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
8.0b	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
25.2b	(sqrt (* (- g h) (+ g h)))
25.2b	(sqrt (* (- g h) (+ g h)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`frac-times`
10×	`pow1` `cbrt-div`
8×	`flip3-+` `flip3--` `associate-*r/` `flip-+` `flip--`
6×	`associate-*l/`
4×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`cbrt-prod` `pow1/2` `pow1/3` `pow-prod-down` `sqrt-prod`

Counts

4 → 70

Calls

4 calls:

14.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
51.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
9.0ms	(sqrt (* (- g h) (+ g h)))
11.0ms	(sqrt (* (- g h) (+ g h)))

series965.0ms

Counts

4 → 12

Calls

4 calls:

389.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
441.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
65.0ms	(sqrt (* (- g h) (+ g h)))
70.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5005
2	1571
1	437
0	189

prune1.0s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 25.6b

localize50.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ g (sqrt (* (- g h) (+ g h))))
7.9b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
25.2b	(sqrt (* (- g h) (+ g h)))
25.2b	(sqrt (* (- g h) (+ g h)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`frac-times` `pow1`
9×	`flip3-+` `flip-+`
6×	`-un-lft-identity` `flip3--` `associate-r/` `flip--` `add-log-exp`
5×	`cbrt-div` `associate-*l/`
4×	`add-sqr-sqrt` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ g (sqrt (* (- g h) (+ g h))))
16.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
13.0ms	(sqrt (* (- g h) (+ g h)))
10.0ms	(sqrt (* (- g h) (+ g h)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ g (sqrt (* (- g h) (+ g h))))
450.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
92.0ms	(sqrt (* (- g h) (+ g h)))
108.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1320
1	358
0	150

prune930.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 24.6b

localize62.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (sqrt (* (- g h) (+ g h))) g)
1.6b	(+ g (sqrt (* (- g h) (+ g h))))
25.2b	(sqrt (* (- g h) (+ g h)))
25.2b	(sqrt (* (- g h) (+ g h)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `*-un-lft-identity` `add-log-exp`
7×	`flip3-+` `flip3--` `flip-+` `flip--`
6×	`add-sqr-sqrt`
4×	`sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

29.0ms	(- (sqrt (* (- g h) (+ g h))) g)
5.0ms	(+ g (sqrt (* (- g h) (+ g h))))
22.0ms	(sqrt (* (- g h) (+ g h)))
18.0ms	(sqrt (* (- g h) (+ g h)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (sqrt (* (- g h) (+ g h))) g)
116.0ms	(+ g (sqrt (* (- g h) (+ g h))))
87.0ms	(sqrt (* (- g h) (+ g h)))
75.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1113
1	251
0	106

prune991.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 24.4b

localize79.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ g (sqrt (* (- g h) (+ g h))))
25.2b	(sqrt (* (- g h) (+ g h)))
25.2b	(sqrt (* (- g h) (+ g h)))
25.2b	(sqrt (* (- g h) (+ g h)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
13×	`pow1`
12×	`frac-times`
10×	`flip3-+` `flip-+`
9×	`flip3--` `flip--`
6×	`-un-lft-identity` `sqrt-pow1` `associate-l/` `associate-*r/` `add-log-exp`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 73

Calls

4 calls:

9.0ms	(+ g (sqrt (* (- g h) (+ g h))))
24.0ms	(sqrt (* (- g h) (+ g h)))
18.0ms	(sqrt (* (- g h) (+ g h)))
12.0ms	(sqrt (* (- g h) (+ g h)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ g (sqrt (* (- g h) (+ g h))))
83.0ms	(sqrt (* (- g h) (+ g h)))
111.0ms	(sqrt (* (- g h) (+ g h)))
103.0ms	(sqrt (* (- g h) (+ g h)))

simplify2.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
3	4506
2	941
1	212
0	83

prune983.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 24.4b

regimes638.0ms

Accuracy

53.5% (1.4b remaining)

Error of 29.9b against oracle of 28.6b and baseline of 31.5b

bsearch348.0ms

Steps

Iters	Range		Point
9	3.217796488647711e-172	2.6721200641074134e-166	2.6459856019794505e-166

simplify9.0ms

Iterations

Iter	Nodes
done	48
2	48
1	43
0	34

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.5s	3746×	body	320	valid
2.3s	4110×	body	160	valid
2.2s	7860×	body	80	nan
26.0ms	144×	body	80	valid