Details

sample280.0ms

Algorithm

intervals

Results

62.0ms	118×	body	320	valid
30.0ms	254×	body	80	nan
28.0ms	510×	pre	80	true
25.0ms	98×	body	160	valid
6.0ms	11×	body	640	valid
4.0ms	29×	body	80	valid

simplify558.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* (* a -4) c))
0.0b	(sqrt (fma b b (* (* a -4) c)))
0.1b	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
28.4b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite51.0ms

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))
2.0ms	(sqrt (fma b b (* (* a -4) c)))
34.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
10.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series476.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma b b (* (* a -4) c))
131.0ms	(sqrt (fma b b (* (* a -4) c)))
153.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
136.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
3	2589
2	949
1	405
0	180

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize15.0ms

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

prune39.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.3b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:

19.0ms	(/ (* a c) b)
37.0ms	(/ (* -2 (/ (* a c) b)) a)

series54.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* a c) b)
22.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify2.9s

Counts

59 → 59

Iterations

Iter	Nodes
3	6399
2	1058
1	267
0	103

prune503.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.2b

localize18.0ms

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

prune1.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.2b

regimes448.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.3s	3603×	body	320	valid
1.1s	8127×	body	80	nan
1.1s	16127×	pre	80	true
870.0ms	2990×	body	160	valid
311.0ms	492×	body	640	valid
188.0ms	915×	body	80	valid