Details

sample98.0ms

Algorithm

intervals

Results

23.0ms	135×	body	160	valid
20.0ms	264×	body	80	nan
20.0ms	520×	pre	80	true
19.0ms	121×	body	80	valid

simplify103.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4 a) c)))
0.2b	(- (* b b) (* (* 4 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
28.1b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`fma-def` `add-cube-cbrt` `add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `sqrt-prod`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `flip3--` `sqrt-div` `div-exp` `associate-+l-` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `associate-/r*` `neg-mul-1` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `div-sub` `prod-diff` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 94

Calls

4 calls:

10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(- (* b b) (* (* 4 a) c))
49.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
16.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series355.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
64.0ms	(- (* b b) (* (* 4 a) c))
120.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
92.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1454
1	435
0	166

prune523.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.5b

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
done	0
0	0

prune77.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.5b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
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 → 57

Calls

2 calls:

21.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms	(/ (* a c) b)

series41.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
21.0ms	(/ (* a c) b)

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5007
2	2257
1	341
0	113

prune340.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.4b

localize5.0ms

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

prune0.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 8.4b

regimes692.0ms

Accuracy

58.6% (5.6b remaining)

Error of 14.8b against oracle of 9.1b and baseline of 22.8b

bsearch3.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	32

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.3s	8542×	body	80	nan
1.3s	4447×	body	160	valid
1.2s	16542×	pre	80	true
465.0ms	3553×	body	80	valid