Details

sample56.0ms

Algorithm

intervals

Results

10.0ms	113×	body	320	valid
9.0ms	531×	pre	80	true
8.0ms	275×	body	80	nan
6.0ms	93×	body	160	valid
2.0ms	13×	body	640	valid
1.0ms	37×	body	80	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	9
1	43	9
2	83	9
3	110	9
4	118	9
5	118	9
done	118	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.2b

localize14.0ms

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)
26.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `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×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
65.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms	(* (* 3.0 a) c)
21.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
111.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(* (* 3.0 a) c)
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	449	785
1	2075	672
2	5002	663
done	5002	663

prune253.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.7b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune26.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

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))

rewrite54.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 84

Calls

3 calls:

10.0ms	(/ (* a c) b)
17.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series75.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* a c) b)
33.0ms	(* -1.5 (/ (* a c) b))
22.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify56.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	383	531
1	2513	389
2	5002	389
done	5002	389

prune173.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ (* a c) b) a)
0.3b	(/ (* a c) b)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

13.0ms	(/ (/ (* a c) b) a)
9.0ms	(/ (* a c) b)

series34.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (/ (* a c) b) a)
24.0ms	(/ (* a c) b)

simplify38.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	399
1	1325	355
2	5001	331
done	5001	331

prune149.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.7b

regimes393.0ms

Accuracy

12.3% (3.2b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 6.3b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27
done	27	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

330.0ms	3623×	body	320	valid
275.0ms	16198×	pre	80	true
252.0ms	8198×	body	80	nan
175.0ms	2914×	body	160	valid
65.0ms	524×	body	640	valid
29.0ms	939×	body	80	valid