Details

sample155.0ms

Algorithm

intervals

Results

50.0ms	144×	body	160	valid
30.0ms	273×	body	80	nan
29.0ms	529×	pre	80	true
18.0ms	50×	body	320	valid
7.0ms	62×	body	80	valid

simplify87.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.5b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

15.0ms	(- (* b b) (* (* 3 a) c))
17.0ms	(* (* 3 a) c)
66.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
48.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series391.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 3 a) c))
36.0ms	(* (* 3 a) c)
184.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
117.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify6.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	6170
2	1501
1	422
0	158

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune54.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite58.0ms

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×	`associate-l` `insert-posit16` `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 → 81

Calls

3 calls:

8.0ms	(/ (* a c) b)
16.0ms	(* -3/2 (/ (* a c) b))
33.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series140.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* a c) b)
53.0ms	(* -3/2 (/ (* a c) b))
43.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify11.1s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune1.1s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.4b	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
0.5b	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
0.6b	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

210×	`add-cbrt-cube` `add-exp-log`
100×	`prod-exp` `cbrt-unprod`
68×	`cbrt-undiv` `div-exp`
24×	`pow1`
16×	`add-sqr-sqrt`
15×	`times-frac`
14×	`associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`frac-times` `associate-*r/`
8×	`associate-r`
7×	`cbrt-div` `swap-sqr` `associate-*l/`
6×	`pow-prod-up`
5×	`div-inv`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

3 → 167

Calls

3 calls:

102.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
23.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
69.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b)))
58.0ms	(* (/ (* -1/2 c) b) (/ (* -1/2 c) b))
73.0ms	(cbrt (* (/ (* -1/2 c) b) (* (/ (* -1/2 c) b) (/ (* -1/2 c) b))))

simplify796.0ms

Counts

176 → 176

Iterations

Iter	Nodes
2	2185
1	595
0	209

prune1.3s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.1b

regimes509.0ms

Accuracy

0% (6.9b remaining)

Error of 12.1b against oracle of 5.3b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.2s	4834×	body	160	valid
1.0s	8289×	body	80	nan
1.0s	16289×	pre	80	true
913.0ms	1352×	body	320	valid
252.0ms	1814×	body	80	valid