Details

sample379.0ms

Algorithm

intervals

Results

103.0ms	124×	body	320	valid
45.0ms	292×	body	80	nan
40.0ms	548×	pre	80	true
28.0ms	89×	body	160	valid
13.0ms	21×	body	640	valid
3.0ms	22×	body	80	valid

simplify257.0ms

Counts

1 → 1

Iterations

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

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.3b

localize47.0ms

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)
23.5b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite93.0ms

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:

1.0ms	(fma b b (* (* a -4) c))
3.0ms	(sqrt (fma b b (* (* a -4) c)))
59.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
21.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series536.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma b b (* (* a -4) c))
128.0ms	(sqrt (fma b b (* (* a -4) c)))
180.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
157.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
3	3635
2	1008
1	423
0	180

prune617.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune61.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

341×	`times-frac`
249×	`add-sqr-sqrt`
211×	`associate-r`
181×	`*-un-lft-identity`
179×	`add-cube-cbrt`
77×	`associate-/l*`
64×	`associate-l`
33×	`unswap-sqr`
21×	`add-cbrt-cube` `add-exp-log` `*-commutative` `associate-/l/`
18×	`associate-*r/`
9×	`associate-/r*`
8×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`prod-exp` `cbrt-unprod`
4×	`clear-num`
3×	`frac-2neg` `un-div-inv`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 317

Calls

2 calls:

20.0ms	(/ (* a c) b)
147.0ms	(/ (* -2 (/ (* a c) b)) a)

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (* a c) b)
25.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify1.8s

Counts

323 → 323

Iterations

Iter	Nodes
done	5000
1	1535
0	527

prune1.5s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* -2 (* a c)) (sqrt a))
0.3b	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
0.4b	(/ (/ 1 b) (sqrt a))

rewrite707.0ms

Algorithm

rewrite-expression-head

Rules

1436×	`add-sqr-sqrt`
1257×	`associate-/l*`
961×	`frac-times`
937×	`times-frac`
899×	`*-un-lft-identity`
883×	`add-cube-cbrt`
757×	`associate-r`
495×	`associate-/r*`
450×	`sqrt-prod`
406×	`associate-l`
300×	`associate-/l/`
271×	`unswap-sqr`
111×	`add-exp-log`
101×	`clear-num`
99×	`frac-2neg`
91×	`*-commutative`
71×	`add-cbrt-cube`
50×	`div-inv`
48×	`div-exp`
38×	`prod-exp`
31×	`associate-l/` `associate-r/`
27×	`cbrt-undiv`
24×	`cbrt-unprod`
6×	`un-div-inv`
5×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 1644

Calls

3 calls:

106.0ms	(/ (* -2 (* a c)) (sqrt a))
420.0ms	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
14.0ms	(/ (/ 1 b) (sqrt a))

series252.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (* -2 (* a c)) (sqrt a))
74.0ms	(* (/ (* -2 (* a c)) (sqrt a)) (/ (/ 1 b) (sqrt a)))
64.0ms	(/ (/ 1 b) (sqrt a))

simplify3.0s

Counts

1653 → 1653

Iterations

Iter	Nodes
done	5000
0	1886

prune7.2s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.0b

regimes551.0ms

Accuracy

0% (3.2b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.8s	3661×	body	320	valid
1.0s	16025×	pre	80	true
1.0s	8025×	body	80	nan
921.0ms	2972×	body	160	valid
352.0ms	510×	body	640	valid
169.0ms	857×	body	80	valid