Details

sample100.0ms

Algorithm

intervals

Results

21.0ms	149×	body	160	valid
20.0ms	522×	pre	80	true
18.0ms	266×	body	80	nan
16.0ms	47×	body	320	valid
4.0ms	60×	body	80	valid

simplify118.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
38.5b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

14.0ms	(- (* b b) (* (* 3 a) c))
34.0ms	(* (* 3 a) c)
80.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
45.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* b b) (* (* 3 a) c))
25.0ms	(* (* 3 a) c)
150.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
107.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1589
1	468
0	170

prune648.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

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

prune58.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 87

Calls

3 calls:

23.0ms	(/ (* a c) b)
32.0ms	(* -3/2 (/ (* a c) b))
44.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (* a c) b)
38.0ms	(* -3/2 (/ (* a c) b))
35.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5081
2	2257
1	396
0	132

prune468.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.3b

localize45.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (* a c))
0.4b	(* (* -3/2 (* a c)) (/ 1 b))
0.4b	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
94×	`add-cbrt-cube`
88×	`prod-exp`
46×	`cbrt-unprod`
44×	`div-exp`
23×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`rec-exp` `1-exp` `pow-prod-down`
4×	`associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`

Counts

3 → 127

Calls

3 calls:

20.0ms	(* -3/2 (* a c))
93.0ms	(* (* -3/2 (* a c)) (/ 1 b))
99.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

series94.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* -3/2 (* a c))
29.0ms	(* (* -3/2 (* a c)) (/ 1 b))
28.0ms	(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))

simplify1.8s

Counts

136 → 136

Iterations

Iter	Nodes
done	5041
2	2817
1	564
0	190

prune302.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 5.3b

regimes858.0ms

Accuracy

20.2% (5.3b remaining)

Error of 10.6b against oracle of 5.3b and baseline of 11.9b

bsearch4.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	41
1	41
0	31

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	8052×	body	80	nan
904.0ms	4905×	body	160	valid
679.0ms	16052×	pre	80	true
358.0ms	1356×	body	320	valid
115.0ms	1739×	body	80	valid