Details

sample133.0ms

Algorithm

intervals

Results

29.0ms	114×	body	320	valid
23.0ms	298×	body	80	nan
20.0ms	554×	pre	80	true
14.0ms	88×	body	160	valid
7.0ms	23×	body	640	valid
3.0ms	31×	body	80	valid

simplify211.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	94
7	94
6	93
5	91
4	83
3	68
2	39
1	21
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
25.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

18.0ms	(- (* b b) (* (* 3.0 a) c))
147.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.0ms	(* (* 3.0 a) c)
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* b b) (* (* 3.0 a) c))
279.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0ms	(* (* 3.0 a) c)
150.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1497
1	427
0	154

prune816.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune112.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

19.0ms	(/ (* a c) b)
35.0ms	(* -1.5 (/ (* a c) b))
43.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series145.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (* a c) b)
61.0ms	(* -1.5 (/ (* a c) b))
45.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5058
2	2216
1	371
0	123

prune663.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-exp-log`
92×	`add-cbrt-cube`
70×	`div-exp`
53×	`prod-exp`
37×	`cbrt-undiv`
29×	`times-frac` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-/r*`
9×	`rec-exp` `1-exp`
8×	`div-inv`
7×	`pow1` `associate-r`
6×	`associate-*r/` `associate-/r/`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

70.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
25.0ms	(/ (* a c) b)
34.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
39.0ms	(/ (* a c) b)
53.0ms	(* -1.5 (/ (* a c) b))
46.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify3.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5018
2	2973
1	576
0	213

prune929.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.9b

regimes1.4s

Accuracy

11.9% (3.1b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 6.2b

bsearch10.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	41
1	41
0	30

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.7s	3633×	body	320	valid
1.5s	2952×	body	160	valid
901.0ms	15881×	pre	80	true
748.0ms	7881×	body	80	nan
231.0ms	906×	body	80	valid
172.0ms	509×	body	640	valid