Details

sample135.0ms

Algorithm

intervals

Results

27.0ms	109×	body	320	valid
21.0ms	262×	body	80	nan
20.0ms	518×	pre	80	true
18.0ms	109×	body	160	valid
3.0ms	10×	body	640	valid
2.0ms	28×	body	80	valid

simplify174.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	83	16
4	112	16
5	120	16
done	120	16

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
30.5b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`prod-diff`
15×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
7×	`fma-neg`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `associate-r` `pow-prod-down` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3.0 a) c))
175.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
35.0ms	(* (* 3.0 a) c)
79.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series417.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* b b) (* (* 3.0 a) c))
159.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
31.0ms	(* (* 3.0 a) c)
145.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.9s

Counts

121 → 121

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	201	2338
1	543	2075
2	3113	1752
done	5001	1750

prune399.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune32.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

localize10.0ms

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))

rewrite74.0ms

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)
19.0ms	(* -1.5 (/ (* a c) b))
42.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (* a c) b)
44.0ms	(* -1.5 (/ (* a c) b))
23.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	129	1138
1	401	1097
2	2851	877
done	5001	853

prune341.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

18.0ms	(* (* 3.0 a) b)
22.0ms	(* -1.5 (* a c))
40.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series107.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* 3.0 a) b)
40.0ms	(* -1.5 (* a c))
27.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	113	1002
1	364	967
2	3351	737
done	5001	721

prune181.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.5b

regimes459.0ms

Accuracy

0% (3.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.1s	16117×	pre	80	true
832.0ms	8117×	body	80	nan
778.0ms	3617×	body	320	valid
528.0ms	3007×	body	160	valid
116.0ms	464×	body	640	valid
62.0ms	912×	body	80	valid