Details

sample291.0ms

Algorithm

intervals

Results

94.0ms	115×	body	320	valid
28.0ms	298×	body	80	nan
21.0ms	554×	pre	80	true
14.0ms	86×	body	160	valid
8.0ms	23×	body	640	valid
3.0ms	32×	body	80	valid

simplify281.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	104
7	104
6	103
5	101
4	93
3	78
2	43
1	25
0	14

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* a 4.0) c)))
0.1b	(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
0.1b	(- (* b b) (* (* a 4.0) c))
24.9b	(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`prod-diff`
18×	`sqrt-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`fma-neg`
6×	`times-frac` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 106

Calls

4 calls:

24.0ms	(sqrt (- (* b b) (* (* a 4.0) c)))
183.0ms	(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
24.0ms	(- (* b b) (* (* a 4.0) c))
103.0ms	(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

series594.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (- (* b b) (* (* a 4.0) c)))
198.0ms	(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
86.0ms	(- (* b b) (* (* a 4.0) c))
199.0ms	(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

simplify2.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1598
1	518
0	195

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

localize11.0ms

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

prune120.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
0.3b	(/ (* a c) b)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 55

Calls

2 calls:

47.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
21.0ms	(/ (* a c) b)

series93.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
50.0ms	(/ (* a c) b)

simplify2.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5058
2	2051
1	336
0	111

prune589.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(log1p (/ (* a c) b))
0.2b	(expm1 (log1p (/ (* a c) b)))
0.3b	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))
0.3b	(/ (* a c) b)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(log1p (/ (* a c) b))
1.0ms	(expm1 (log1p (/ (* a c) b)))
27.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))
22.0ms	(/ (* a c) b)

series518.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(log1p (/ (* a c) b))
179.0ms	(expm1 (log1p (/ (* a c) b)))
181.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))
41.0ms	(/ (* a c) b)

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1693
1	369
0	146

prune650.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.9b

regimes935.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample6.0s

Algorithm

intervals

Results

1.4s	7913×	body	80	nan
1.1s	3640×	body	320	valid
941.0ms	15913×	pre	80	true
918.0ms	500×	body	640	valid
778.0ms	2950×	body	160	valid
84.0ms	910×	body	80	valid