Details

sample58.0ms

Algorithm

intervals

Results

11.0ms	111×	body	320	valid
10.0ms	531×	pre	80	true
9.0ms	275×	body	80	nan
6.0ms	97×	body	160	valid
2.0ms	19×	body	640	valid
1.0ms	29×	body	80	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	83	16
4	102	16
5	110	16
done	110	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize13.0ms

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)
28.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite58.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(* (* 3.0 a) c)
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify631.0ms

Counts

105 → 105

Iterations

Useful iterations: done (629.0ms)

Iter	Nodes	Cost
0	167	1559
1	458	1478
2	1911	1247
done	5000	1246

prune256.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune28.0ms

Pruning

11 alts after pruning (10 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))

rewrite23.0ms

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:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series70.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify764.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	129	1138
1	394	1097
2	2297	813
done	5000	813

prune178.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
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×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 89

Calls

3 calls:

7.0ms	(* a (/ c b))
10.0ms	(* -1.5 (* a (/ c b)))
14.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series69.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* a (/ c b))
27.0ms	(* -1.5 (* a (/ c b)))
20.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify892.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	145	1170
1	430	1123
2	2618	839
done	5000	839

prune144.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.6b

regimes318.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

360.0ms	3625×	body	320	valid
311.0ms	16187×	pre	80	true
264.0ms	8187×	body	80	nan
195.0ms	2993×	body	160	valid
64.0ms	478×	body	640	valid
32.0ms	904×	body	80	valid