Details

sample290.0ms

Algorithm

intervals

Results

58.0ms	254×	body	80	nan
44.0ms	120×	body	320	valid
30.0ms	510×	pre	80	true
24.0ms	97×	body	160	valid
7.0ms	13×	body	640	valid
3.0ms	26×	body	80	valid

simplify99.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	105
7	105
6	104
5	102
4	94
3	77
2	44
1	25
0	14

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* (* a -4) c))
0.0b	(sqrt (fma b b (* (* a -4) c)))
0.1b	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
26.3b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite58.0ms

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)))
33.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
18.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series572.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma b b (* (* a -4) c))
124.0ms	(sqrt (fma b b (* (* a -4) c)))
190.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
172.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
3	2589
2	949
1	405
0	180

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

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

prune79.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

16.0ms	(/ (* a c) b)
32.0ms	(/ (* -2 (/ (* a c) b)) a)

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (* a c) b)
21.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.3s

Counts

59 → 59

Iterations

Iter	Nodes
3	6399
2	1058
1	267
0	103

prune598.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

21.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify10.3s

Counts

31 → 31

Iterations

Iter	Nodes
3	14092
2	1337
1	220
0	70

prune255.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.6b

regimes521.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample7.0s

Algorithm

intervals

Results

1.8s	3599×	body	320	valid
1.7s	8382×	body	80	nan
1.0s	16382×	pre	80	true
986.0ms	2915×	body	160	valid
611.0ms	967×	body	80	valid
354.0ms	519×	body	640	valid