Details

sample154.0ms

Algorithm

intervals

Results

37.0ms	164×	body	160	valid
32.0ms	32×	body	320	valid
29.0ms	267×	body	80	nan
25.0ms	523×	pre	80	true
7.0ms	60×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.2b

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)
40.0b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite45.0ms

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))
1.0ms	(sqrt (fma b b (* (* a -4) c)))
33.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series407.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma b b (* (* a -4) c))
102.0ms	(sqrt (fma b b (* (* a -4) c)))
142.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
107.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify983.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	2000
3	2000
2	1008
1	423
0	180

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.3b

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
done	0
0	0

prune96.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.3b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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)

series47.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (* a c) b)
26.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	2014
3	2014
2	1285
1	282
0	103

prune572.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

31.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify1.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	2000
3	2000
2	1345
1	222
0	70

prune239.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 5.2b

regimes492.0ms

Accuracy

0% (7.0b remaining)

Error of 12.0b against oracle of 5.0b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	4798×	body	160	valid
1.1s	8337×	body	80	nan
1.0s	16337×	pre	80	true
631.0ms	1403×	body	320	valid
268.0ms	1799×	body	80	valid