Details

sample74.0ms

Algorithm

intervals

Results

32.0ms	68×	body	640	valid
10.0ms	132×	body	80	valid
7.0ms	16×	body	1280	valid
5.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite689.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
20×	`times-frac`
14×	`add-sqr-sqrt`
10×	`distribute-lft-out--`
9×	`distribute-lft-out` `add-log-exp`
4×	`difference-of-squares`
3×	`frac-add`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-+l+` `flip3--` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 44

Calls

2 calls:

119.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
565.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series469.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
395.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify988.0ms

Counts

50 → 50

Iterations

Useful iterations: done (985.0ms)

Iter	Nodes	Cost
0	116	1027
1	306	977
2	1147	925
done	5001	905

prune280.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
1.1b	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
15.3b	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`flip3-+` `times-frac` `associate-r` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-sub` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `pow-prod-down` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

42.0ms	(* (+ x 1.0) x)
152.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
58.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

series747.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (+ x 1.0) x)
535.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
118.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 2 (715.0ms)

Iter	Nodes	Cost
0	142	1338
1	432	1275
2	2577	1059
done	5001	1059

prune407.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
0.0b	(/ 2.0 (pow x 7))
0.1b	(/ 2.0 (pow x 5))
0.3b	(/ 2.0 (pow x 3))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
78×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
26×	`associate-/r*`
19×	`add-exp-log`
12×	`cube-prod` `sqr-pow`
11×	`distribute-lft-out`
10×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*` `add-log-exp`
6×	`div-inv`
4×	`pow1` `cube-mult` `unpow3` `frac-add`
3×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l+`

Counts

4 → 177

Calls

4 calls:

957.0ms	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
15.0ms	(/ 2.0 (pow x 7))
13.0ms	(/ 2.0 (pow x 5))
15.0ms	(/ 2.0 (pow x 3))

series877.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (+ (/ 2.0 (pow x 7)) (/ 2.0 (pow x 3))) (/ 2.0 (pow x 5)))
592.0ms	(/ 2.0 (pow x 7))
90.0ms	(/ 2.0 (pow x 5))
81.0ms	(/ 2.0 (pow x 3))

simplify2.1s

Counts

189 → 189

Iterations

Useful iterations: 2 (879.0ms)

Iter	Nodes	Cost
0	286	2461
1	636	2170
2	2924	2094
done	5002	2094

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (pow x 7))
0.1b	(/ 2.0 (pow x 5))
0.1b	(/ (/ 2.0 (* x x)) x)
1.1b	(/ 2.0 (* x x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`associate-/r*`
16×	`associate-/l*`
13×	`div-exp`
9×	`cbrt-undiv`
8×	`div-inv` `sqr-pow`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 159

Calls

4 calls:

15.0ms	(/ 2.0 (pow x 7))
15.0ms	(/ 2.0 (pow x 5))
38.0ms	(/ (/ 2.0 (* x x)) x)
20.0ms	(/ 2.0 (* x x))

series335.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ 2.0 (pow x 7))
92.0ms	(/ 2.0 (pow x 5))
72.0ms	(/ (/ 2.0 (* x x)) x)
50.0ms	(/ 2.0 (* x x))

simplify2.3s

Counts

171 → 171

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	248	1824
1	540	1685
2	3034	1561
done	5001	1557

prune996.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 26.5b

bsearch182.0ms

Steps

Iters	Range		Point
10	2.8868360106527892e-08	453261925.93168354	120.21434515618485
8	-3934.6710789005906	-4.26929226401081	-109.15750550726749

simplify10.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	29	67
1	39	49
done	39	49

end0.0ms

sample1.9s

Algorithm

intervals

Results

706.0ms	1889×	body	640	valid
443.0ms	4118×	body	80	valid
225.0ms	904×	body	320	valid
176.0ms	562×	body	1280	valid
68.0ms	530×	body	160	valid