Details

sample100.0ms

Algorithm

intervals

Results

22.0ms	525×	pre	80	true
21.0ms	171×	body	160	valid
16.0ms	269×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	52×	body	80	valid

simplify98.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
42.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite102.0ms

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:

7.0ms	(- (* b b) (* (* 3.0 a) c))
15.0ms	(* (* 3.0 a) c)
58.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* b b) (* (* 3.0 a) c))
38.0ms	(* (* 3.0 a) c)
148.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
109.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2777
1	472
0	167

prune606.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

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

prune48.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

7.0ms	(/ (* a c) b)
14.0ms	(* -1.5 (/ (* a c) b))
18.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series85.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
30.0ms	(* -1.5 (/ (* a c) b))
33.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune569.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 5.6b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-/r*`
9×	`rec-exp` `1-exp`
8×	`div-inv`
7×	`pow1` `associate-r`
6×	`associate-*r/` `associate-/r/`
5×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

12.0ms	(/ (* a c) b)
23.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
22.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* a c) b)
33.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
36.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify1.8s

Counts

174 → 174

Iterations

Iter	Nodes
done	5002
2	4090
1	661
0	221

prune506.0ms

Pruning

27 alts after pruning (25 fresh and 2 done)

Merged error: 5.6b

regimes618.0ms

Accuracy

0% (6.7b remaining)

Error of 11.9b against oracle of 5.2b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	4835×	body	160	valid
667.0ms	16141×	pre	80	true
585.0ms	8141×	body	80	nan
280.0ms	1387×	body	320	valid
147.0ms	1778×	body	80	valid