Details

sample250.0ms

Algorithm

intervals

Results

75.0ms	278×	body	80	nan
31.0ms	121×	body	320	valid
19.0ms	534×	pre	80	true
14.0ms	85×	body	160	valid
6.0ms	19×	body	640	valid
3.0ms	31×	body	80	valid

simplify165.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
25.9b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite281.0ms

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:

12.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(- (* b b) (* (* 4.0 a) c))
144.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
112.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series496.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms	(- (* b b) (* (* 4.0 a) c))
180.0ms	(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
106.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.5s

Counts

118 → 118

Iterations

Useful iterations: done (1.5s)

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

prune442.0ms

Pruning

11 alts after pruning (11 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

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune57.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.2b	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

rewrite63.0ms

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:

15.0ms	(/ (* a c) b)
45.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series59.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (* a c) b)
37.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify994.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (331.0ms)

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

prune216.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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))
21.0ms	(/ (* a c) b)
27.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))
1.0ms	(expm1 (log1p (/ (* a c) b)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log1p (/ (* a c) b))
35.0ms	(/ (* a c) b)
146.0ms	(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) (* 2.0 a))
162.0ms	(expm1 (log1p (/ (* a c) b)))

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	972
1	351	851
2	1524	683
done	5000	673

prune243.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

regimes443.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.6b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.2s	16339×	pre	80	true
1.1s	3606×	body	320	valid
899.0ms	2912×	body	160	valid
820.0ms	8339×	body	80	nan
210.0ms	974×	body	80	valid
170.0ms	508×	body	640	valid