Details

sample232.0ms

Algorithm

intervals

Results

67.0ms	126×	body	320	valid
26.0ms	304×	body	80	nan
24.0ms	560×	pre	80	true
16.0ms	83×	body	160	valid
8.0ms	22×	body	640	valid
2.0ms	25×	body	80	valid

simplify179.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.0b	(- (* b b) (* (* c a) 4))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
25.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

9.0ms	(sqrt (- (* b b) (* (* c a) 4)))
15.0ms	(- (* b b) (* (* c a) 4))
123.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
69.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series429.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (- (* b b) (* (* c a) 4)))
76.0ms	(- (* b b) (* (* c a) 4))
121.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
122.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	2005
3	2005
2	1103
1	400
0	161

prune576.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

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

prune42.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 49

Calls

2 calls:

16.0ms	(/ (* -2 (/ (* a c) b)) a)
9.0ms	(/ (* a c) b)

series64.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (* -2 (/ (* a c) b)) a)
35.0ms	(/ (* a c) b)

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	2083
3	2083
2	1429
1	278
0	99

prune331.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* -2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.5b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `sqrt-prod`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
19×	`pow1`
12×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`associate-/r*`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
7×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/` `pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `associate-/l*` `associate-/l/`
2×	`frac-times` `associate-*l/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `*-commutative`

Counts

4 → 136

Calls

4 calls:

77.0ms	(/ (* -2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
18.0ms	(/ (* a c) b)
18.0ms	(/ (* a c) b)
50.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* -2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) a)
29.0ms	(/ (* a c) b)
31.0ms	(/ (* a c) b)
69.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify1.1s

Counts

148 → 148

Iterations

Iter	Nodes
done	2062
3	2062
2	1508
1	403
0	167

prune620.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 2.0b

regimes479.0ms

Accuracy

0% (3.7b remaining)

Error of 6.3b against oracle of 2.6b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.0s	3577×	body	320	valid
1.4s	7945×	body	80	nan
902.0ms	2940×	body	160	valid
855.0ms	15945×	pre	80	true
416.0ms	534×	body	640	valid
115.0ms	949×	body	80	valid