Details

sample135.0ms

Algorithm

intervals

Results

37.0ms	264×	body	80	nan
27.0ms	166×	body	160	valid
21.0ms	520×	pre	80	true
9.0ms	38×	body	320	valid
4.0ms	52×	body	80	valid

simplify128.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	75
2	40
1	22
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite134.0ms

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))
22.0ms	(* (* 3.0 a) c)
75.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* b b) (* (* 3.0 a) c))
28.0ms	(* (* 3.0 a) c)
181.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
107.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1585
1	462
0	167

prune807.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.2b

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

prune91.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite45.0ms

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:

10.0ms	(/ (* a c) b)
14.0ms	(* -1.5 (/ (* a c) b))
17.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
45.0ms	(* -1.5 (/ (* a c) b))
35.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5042
2	2220
1	386
0	129

prune645.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 6.2b

localize22.0ms

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))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

14.0ms	(* a (/ c b))
20.0ms	(* -1.5 (* a (/ c b)))
42.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series76.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* a (/ c b))
31.0ms	(* -1.5 (* a (/ c b)))
24.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify1.7s

Counts

98 → 98

Iterations

Iter	Nodes
done	5030
2	2191
1	410
0	145

prune412.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 6.2b

regimes1.2s

Accuracy

30.9% (4.6b remaining)

Error of 9.7b against oracle of 5.1b and baseline of 11.8b

bsearch3.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	43
2	43
1	35
0	27

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	16347×	pre	80	true
731.0ms	8347×	body	80	nan
715.0ms	4849×	body	160	valid
396.0ms	1403×	body	320	valid
115.0ms	1748×	body	80	valid