Details

sample52.0ms

Algorithm

intervals

Results

23.0ms	276×	body	80	valid
6.0ms	80×	body	80	nan

simplify136.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	166
6	166
5	164
4	150
3	116
2	66
1	35
0	20

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize179.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.5b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.2b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`flip3--` `flip--`
2×	`neg-sub0` `rem-sqrt-square` `sum-log` `distribute-rgt-neg-in` `sqrt-pow1` `pow1/2` `diff-log` `neg-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `+-commutative` `sub-neg` `flip3-+` `associate-+l-` `flip-+`

Counts

4 → 63

Calls

4 calls:

46.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
120.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
104.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
133.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify702.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1037
1	255
0	100

prune741.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.8b

localize205.0ms

Local error

Found 4 expressions with local error:

12.5b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
21.2b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div`
4×	`add-cbrt-cube` `add-exp-log`
3×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--`
2×	`sum-log`
1×	`neg-sub0` `+-commutative` `flip3-+` `neg-log` `associate-+l-` `flip-+`

Counts

4 → 58

Calls

4 calls:

12.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
8.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
12.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
121.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
96.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
121.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1254
1	313
0	113

prune855.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.8b

localize274.0ms

Local error

Found 4 expressions with local error:

21.2b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

7.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
12.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
10.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
120.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
84.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
81.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))

simplify2.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	4076
2	742
1	208
0	79

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.8b

localize329.0ms

Local error

Found 4 expressions with local error:

21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))
21.2b	(sqrt (- (* b b) (* (* c 4.0) a)))
21.2b	(sqrt (- (* b b) (* 4.0 (* c a))))
21.2b	(sqrt (- (* b b) (* 4.0 (* c a))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
14.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
14.0ms	(sqrt (- (* b b) (* 4.0 (* c a))))
15.0ms	(sqrt (- (* b b) (* 4.0 (* c a))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
96.0ms	(sqrt (- (* b b) (* (* c 4.0) a)))
99.0ms	(sqrt (- (* b b) (* 4.0 (* c a))))
93.0ms	(sqrt (- (* b b) (* 4.0 (* c a))))

simplify1.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	834
1	207
0	79

prune970.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.8b

regimes489.0ms

Accuracy

93.6% (0.9b remaining)

Error of 6.3b against oracle of 5.4b and baseline of 19.9b

bsearch197.0ms

Steps

Iters	Range		Point
7	3.193559613742934e+82	9.45571118856315e+83	8.991400549328154e+83
3	-1.280729871585891e+137	-9.51166686841298e+136	-1.177741376353206e+137

simplify24.0ms

Iterations

Iter	Nodes
done	56
1	56
0	45

end1.0ms

sample2.4s

Algorithm

intervals

Results

1.6s	8708×	body	80	valid
373.0ms	2874×	body	80	nan