Details

sample147.0ms

Algorithm

intervals

Results

29.0ms	121×	body	320	valid
29.0ms	92×	body	160	valid
19.0ms	500×	pre	80	true
19.0ms	244×	body	80	nan
4.0ms	13×	body	640	valid
2.0ms	30×	body	80	valid

simplify157.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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: 53.1b

localize34.0ms

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)
26.8b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite361.0ms

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:

18.0ms	(- (* b b) (* (* 3.0 a) c))
188.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
35.0ms	(* (* 3.0 a) c)
113.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series468.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* b b) (* (* 3.0 a) c))
202.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
35.0ms	(* (* 3.0 a) c)
147.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify4.1s

Counts

121 → 121

Iterations

Useful iterations: done (4.1s)

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

prune731.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

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

prune84.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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:

30.0ms	(* -1.5 (/ (* a c) b))
17.0ms	(/ (* a c) b)
46.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series120.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* -1.5 (/ (* a c) b))
32.0ms	(/ (* a c) b)
38.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	129	1138
1	401	1097
2	2854	869
done	5001	853

prune587.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
2.0ms	(cbrt b)

series1.5s

Counts

4 → 12

Calls

4 calls:

434.0ms	(* (cbrt b) (cbrt b))
378.0ms	(cbrt b)
354.0ms	(cbrt b)
361.0ms	(cbrt b)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune565.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 2.5b

regimes1.0s

Accuracy

0% (3.5b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.7s	3691×	body	320	valid
856.0ms	16176×	pre	80	true
770.0ms	8176×	body	80	nan
562.0ms	2925×	body	160	valid
201.0ms	495×	body	640	valid
117.0ms	889×	body	80	valid