Details

sample426.0ms

Algorithm

intervals

Results

87.0ms	263×	body	80	nan
50.0ms	118×	body	320	valid
34.0ms	519×	pre	80	true
26.0ms	88×	body	160	valid
9.0ms	16×	body	640	valid
5.0ms	34×	body	80	valid

simplify141.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize48.0ms

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)
26.4b	(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite30.0ms

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` `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 → 110

Calls

4 calls:

0.0ms	(fma b b (* (* a -4) c))
1.0ms	(sqrt (fma b b (* (* a -4) c)))
15.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

series476.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma b b (* (* a -4) c))
118.0ms	(sqrt (fma b b (* (* a -4) c)))
156.0ms	(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
117.0ms	(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.3s

Counts

122 → 122

Iterations

Iter	Nodes
3	2667
2	945
1	401
0	176

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.7b

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
1	0
0	0

prune86.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 51

Calls

2 calls:

33.0ms	(/ (* -2 (/ (* a c) b)) a)
16.0ms	(/ (* a c) b)

series73.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (* -2 (/ (* a c) b)) a)
36.0ms	(/ (* a c) b)

simplify3.3s

Counts

57 → 57

Iterations

Iter	Nodes
3	6436
2	1061
1	266
0	101

prune578.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ -2 (/ b (/ c 1)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac`
186×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
44×	`associate-/r*`
17×	`div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`div-exp`
6×	`cbrt-undiv`
5×	`associate-/r/`
3×	`associate-/l*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`

Counts

1 → 199

Calls

1 calls:

13.0ms

(/ -2 (/ b (/ c 1)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ -2 (/ b (/ c 1)))

simplify26.8s

Counts

202 → 202

Iterations

Iter	Nodes
2	3222
1	1171
0	443

prune1.5s

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.6b

regimes534.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.1s	3581×	body	320	valid
1.5s	8265×	body	80	nan
1.0s	16265×	pre	80	true
872.0ms	2942×	body	160	valid
351.0ms	518×	body	640	valid
118.0ms	959×	body	80	valid