Details

sample314.0ms

Algorithm

intervals

Results

60.0ms	101×	body	160	valid
24.0ms	115×	body	320	valid
18.0ms	259×	body	80	nan
16.0ms	515×	pre	80	true
3.0ms	10×	body	640	valid
2.0ms	30×	body	80	valid

simplify89.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	128
5	128
4	119
3	86
2	46
1	25
0	14

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 c) a)))
0.1b	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
0.1b	(- (* b b) (* (* 4.0 c) a))
27.5b	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

9.0ms	(sqrt (- (* b b) (* (* 4.0 c) a)))
77.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
8.0ms	(- (* b b) (* (* 4.0 c) a))
54.0ms	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series425.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- (* b b) (* (* 4.0 c) a)))
107.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
78.0ms	(- (* b b) (* (* 4.0 c) a))
162.0ms	(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	2182
1	509
0	198

prune879.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.7b

localize13.0ms

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

prune87.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (/ (* a c) b)) a)
0.3b	(/ (* a c) b)

rewrite26.0ms

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` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 51

Calls

2 calls:

15.0ms	(/ (* -2.0 (/ (* a c) b)) a)
8.0ms	(/ (* a c) b)

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* -2.0 (/ (* a c) b)) a)
40.0ms	(/ (* a c) b)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1932
1	281
0	101

prune405.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.7b

localize19.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (* -2.0 (* a c)) (* a b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

17.0ms

(/ (* -2.0 (* a c)) (* a b))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (* -2.0 (* a c)) (* a b))

simplify2.0s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
2	1570
1	229
0	69

prune105.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.7b

regimes719.0ms

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
done	8
1	8
0	7

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.1s	16315×	pre	80	true
1.1s	3639×	body	320	valid
905.0ms	2975×	body	160	valid
758.0ms	8315×	body	80	nan
226.0ms	493×	body	640	valid
70.0ms	893×	body	80	valid