Details

sample97.0ms

Algorithm

intervals

Results

26.0ms	536×	pre	80	true
20.0ms	137×	body	160	valid
19.0ms	280×	body	80	nan
8.0ms	119×	body	80	valid

simplify115.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	105
7	105
6	104
5	102
4	94
3	77
2	44
1	25
0	14

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* (* a -4) c))
0.1b	(sqrt (fma b b (* (* a -4) c)))
0.2b	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
26.7b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
18×	`times-frac` `prod-diff`
10×	`difference-of-squares`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log` `associate-/l*` `add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

4 → 114

Calls

4 calls:

0.0ms	(fma b b (* (* a -4) c))
2.0ms	(sqrt (fma b b (* (* a -4) c)))
31.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
11.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series440.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma b b (* (* a -4) c))
114.0ms	(sqrt (fma b b (* (* a -4) c)))
139.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
113.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.8s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
3	3635
2	1008
1	423
0	180

prune513.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.0b

localize15.0ms

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

prune95.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 9.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

11.0ms	(/ (* a c) b)
34.0ms	(/ (* -2 (/ (* a c) b)) a)

series47.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (* a c) b)
25.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify1.0s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1285
1	282
0	103

prune329.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

40.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5420
2	1345
1	222
0	70

prune123.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 8.9b

regimes758.0ms

Accuracy

46% (7.6b remaining)

Error of 16.5b against oracle of 8.9b and baseline of 22.9b

bsearch13.0ms

Steps

Iters	Range		Point
1	2371.6535562406452	2626.0447279562113	2435.2513491695368

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	4433×	body	160	valid
984.0ms	8478×	body	80	nan
687.0ms	16478×	pre	80	true
290.0ms	3567×	body	80	valid