Details

sample186.0ms

Algorithm

intervals

Results

54.0ms	486×	pre	80	true
23.0ms	86×	body	320	valid
23.0ms	124×	body	160	valid
20.0ms	230×	body	80	nan
5.0ms	15×	body	640	valid
3.0ms	31×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(- (* b b) (* (* c a) 4))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
30.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite283.0ms

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:

16.0ms	(sqrt (- (* b b) (* (* c a) 4)))
17.0ms	(- (* b b) (* (* c a) 4))
210.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
37.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series410.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (- (* b b) (* (* c a) 4)))
65.0ms	(- (* b b) (* (* c a) 4))
128.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
119.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
3	3663
2	1093
1	400
0	161

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

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

prune88.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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	(/ (* a c) b)
18.0ms	(/ (* -2 (/ (* a c) b)) a)

series49.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (* a c) b)
22.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.0s

Counts

55 → 55

Iterations

Iter	Nodes
3	6523
2	1062
1	265
0	99

prune558.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.3b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)
9.0ms	(* (cbrt b) (cbrt b))

series1.2s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt b)
256.0ms	(cbrt b)
313.0ms	(cbrt b)
367.0ms	(* (cbrt b) (cbrt b))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
4	2987
3	964
2	329
1	132
0	63

prune938.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 3.2b

regimes573.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	3591×	body	320	valid
1.2s	8155×	body	80	nan
1.1s	16155×	pre	80	true
821.0ms	2993×	body	160	valid
306.0ms	496×	body	640	valid
134.0ms	920×	body	80	valid