Details

sample156.0ms

Algorithm

intervals

Results

71.0ms	132×	body	320	valid
30.0ms	272×	body	80	nan
28.0ms	117×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize54.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
8.6b	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))

rewrite102.0ms

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))))))
54.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
11.0ms	(sqrt (* (- g h) (+ g h)))
19.0ms	(sqrt (* (- g h) (+ g h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

407.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
464.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
101.0ms	(sqrt (* (- g h) (+ g h)))
81.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5005
2	1571
1	437
0	189

prune853.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 30.5b

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ g (sqrt (* (- g h) (+ g h))))
6.7b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))

rewrite53.0ms

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:

10.0ms	(+ g (sqrt (* (- g h) (+ g h))))
10.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
12.0ms	(sqrt (* (- g h) (+ g h)))
18.0ms	(sqrt (* (- g h) (+ g h)))

series711.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ g (sqrt (* (- g h) (+ g h))))
415.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
111.0ms	(sqrt (* (- g h) (+ g h)))
89.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1320
1	358
0	150

prune852.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 29.8b

localize53.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ g (sqrt (* (- g h) (+ g h))))
6.7b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))

rewrite62.0ms

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:

11.0ms	(+ g (sqrt (* (- g h) (+ g h))))
10.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
17.0ms	(sqrt (* (- g h) (+ g h)))
21.0ms	(sqrt (* (- g h) (+ g h)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ g (sqrt (* (- g h) (+ g h))))
411.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
104.0ms	(sqrt (* (- g h) (+ g h)))
97.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1320
1	358
0	150

prune924.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 29.8b

localize76.0ms

Local error

Found 4 expressions with local error:

30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))
30.0b	(sqrt (* (- g h) (+ g h)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

16.0ms	(sqrt (* (- g h) (+ g h)))
26.0ms	(sqrt (* (- g h) (+ g h)))
16.0ms	(sqrt (* (- g h) (+ g h)))
11.0ms	(sqrt (* (- g h) (+ g h)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (* (- g h) (+ g h)))
81.0ms	(sqrt (* (- g h) (+ g h)))
83.0ms	(sqrt (* (- g h) (+ g h)))
73.0ms	(sqrt (* (- g h) (+ g h)))

simplify2.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	3126
2	704
1	159
0	62

prune940.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 29.8b

regimes671.0ms

Accuracy

55.6% (1.6b remaining)

Error of 31.2b against oracle of 29.6b and baseline of 33.3b

bsearch180.0ms

Steps

Iters	Range		Point
6	1.3012338518725665e-167	6.445570773625479e-167	6.382883611553767e-167

simplify13.0ms

Iterations

Iter	Nodes
done	40
1	40
0	31

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.9s	7842×	body	80	nan
1.7s	3721×	body	320	valid
1.3s	4127×	body	160	valid
19.0ms	152×	body	80	valid