Details

sample131.0ms

Algorithm

intervals

Results

29.0ms	514×	pre	80	true
24.0ms	116×	body	320	valid
17.0ms	258×	body	80	nan
15.0ms	101×	body	160	valid
3.0ms	10×	body	640	valid
2.0ms	29×	body	80	valid

simplify132.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize21.0ms

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))
0.2b	(* (* 3.0 a) c)
27.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite179.0ms

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` `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 → 93

Calls

4 calls:

13.0ms	(- (* b b) (* (* 3.0 a) c))
103.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
33.0ms	(* (* 3.0 a) c)
26.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* b b) (* (* 3.0 a) c))
135.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms	(* (* 3.0 a) c)
122.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2801
1	471
0	167

prune623.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

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

prune80.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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` `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 → 84

Calls

3 calls:

23.0ms	(* -1.5 (/ (* a c) b))
14.0ms	(/ (* a c) b)
27.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series96.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* -1.5 (/ (* a c) b))
21.0ms	(/ (* a c) b)
26.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2844
1	401
0	129

prune619.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ a (/ b c))
0.3b	(* -1.5 (/ a (/ b c)))
0.3b	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

145×	`times-frac`
90×	`add-sqr-sqrt`
81×	`*-un-lft-identity` `add-cube-cbrt`
49×	`add-cbrt-cube` `add-exp-log`
44×	`associate-r`
20×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
10×	`div-inv`
5×	`pow1`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*r/` `associate-/r/`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 172

Calls

3 calls:

7.0ms	(/ a (/ b c))
42.0ms	(* -1.5 (/ a (/ b c)))
31.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series117.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ a (/ b c))
53.0ms	(* -1.5 (/ a (/ b c)))
24.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify2.6s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
2	4895
1	813
0	272

prune1.1s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.7b

regimes1.1s

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.6s	8285×	body	80	nan
930.0ms	3647×	body	320	valid
723.0ms	16285×	pre	80	true
473.0ms	2970×	body	160	valid
142.0ms	886×	body	80	valid
129.0ms	497×	body	640	valid