Details

sample169.0ms

Algorithm

intervals

Results

49.0ms	111×	body	320	valid
32.0ms	284×	body	80	nan
29.0ms	540×	pre	80	true
23.0ms	96×	body	160	valid
7.0ms	16×	body	640	valid
4.0ms	33×	body	80	valid

simplify116.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
26.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite139.0ms

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:

7.0ms	(- (* b b) (* (* 3 a) c))
75.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
14.0ms	(* (* 3 a) c)
42.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series451.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* b b) (* (* 3 a) c))
192.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.0ms	(* (* 3 a) c)
154.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1457
1	423
0	158

prune590.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

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

prune75.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite50.0ms

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:

12.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))
25.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series95.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (* a c) b)
36.0ms	(* -3/2 (/ (* a c) b))
32.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune516.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (sqrt (/ (* a c) b)))
0.3b	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
0.4b	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
20×	`associate-r`
17×	`add-sqr-sqrt`
15×	`sqrt-prod`
14×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
9×	`sqrt-div`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
4×	`associate-/r` `associate-l*` `pow-prod-down` `insert-posit16` `div-inv` `add-log-exp`
3×	`associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

18.0ms	(/ (* a c) b)
27.0ms	(* -3/2 (sqrt (/ (* a c) b)))
86.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
100.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

series356.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* a c) b)
135.0ms	(* -3/2 (sqrt (/ (* a c) b)))
118.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
61.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5015
2	2549
1	459
0	163

prune526.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

regimes626.0ms

Accuracy

0% (3.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.6s	3705×	body	320	valid
1.1s	8309×	body	80	nan
991.0ms	16309×	pre	80	true
852.0ms	2921×	body	160	valid
642.0ms	486×	body	640	valid
123.0ms	888×	body	80	valid