Details

sample199.0ms

Algorithm

intervals

Results

51.0ms	29×	body	80	valid
24.0ms	118×	body	320	valid
16.0ms	469×	pre	80	true
14.0ms	213×	body	80	nan
12.0ms	98×	body	160	valid
2.0ms	11×	body	640	valid

simplify166.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	16
3	86	16
4	108	16
5	116	16
done	116	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
28.5b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite279.0ms

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:

11.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
12.0ms	(- (* b b) (* (* 4.0 a) c))
160.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
90.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series447.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
80.0ms	(- (* b b) (* (* 4.0 a) c))
149.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
127.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.4s

Counts

118 → 118

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	195	2476
1	480	2169
2	1444	1861
done	5001	1789

prune396.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.4b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune51.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:

21.0ms	(/ (* a c) b)
28.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series63.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (* a c) b)
36.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify987.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	111	818
1	314	787
2	1621	559
done	5001	559

prune187.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.4b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

0.0ms	(log1p (/ (* a c) b))
0.0ms	(expm1 (log1p (/ (* a c) b)))
10.0ms	(/ (* a c) b)
14.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))

series367.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log1p (/ (* a c) b))
125.0ms	(expm1 (log1p (/ (* a c) b)))
28.0ms	(/ (* a c) b)
117.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	972
1	351	851
2	1527	683
done	5001	673

prune250.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.4b

regimes379.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	3640×	body	320	valid
1.1s	8070×	body	80	nan
782.0ms	16070×	pre	80	true
428.0ms	2964×	body	160	valid
287.0ms	482×	body	640	valid
66.0ms	914×	body	80	valid