Details

sample184.0ms

Algorithm

intervals

Results

54.0ms	129×	body	160	valid
42.0ms	269×	body	80	nan
37.0ms	525×	pre	80	true
21.0ms	127×	body	80	valid

simplify136.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	105
7	105
6	104
5	102
4	94
3	77
2	44
1	25
0	14

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* (* a -4) c))
0.1b	(sqrt (fma b b (* (* a -4) c)))
0.2b	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
26.2b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
18×	`times-frac` `prod-diff`
10×	`difference-of-squares`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log` `associate-/l*` `add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

4 → 114

Calls

4 calls:

0.0ms	(fma b b (* (* a -4) c))
1.0ms	(sqrt (fma b b (* (* a -4) c)))
24.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
16.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series403.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma b b (* (* a -4) c))
96.0ms	(sqrt (fma b b (* (* a -4) c)))
126.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
119.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.1s

Counts

126 → 126

Iterations

Iter	Nodes
3	2593
2	949
1	407
0	180

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.0b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune85.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 10.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ (* -2 (/ (* a c) b)) a)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

21.0ms	(/ (* a c) b)
29.0ms	(/ (* -2 (/ (* a c) b)) a)

series72.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* a c) b)
40.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify2.3s

Counts

59 → 59

Iterations

Iter	Nodes
3	5824
2	969
1	269
0	103

prune607.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 9.9b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune0.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.9b

regimes786.0ms

Accuracy

44.1% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 22.5b

bsearch22.0ms

Steps

Iters	Range		Point
1	105.91878804894776	111.55246949000541	107.32720840921216

simplify5.0ms

Iterations

Iter	Nodes
2	29
1	29
0	24

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.4s	4494×	body	160	valid
1.4s	16691×	pre	80	true
1.3s	8691×	body	80	nan
472.0ms	3506×	body	80	valid