Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	61×	body	640	valid
13.0ms	136×	body	80	valid
8.0ms	18×	body	1280	valid
8.0ms	25×	body	320	valid
3.0ms	16×	body	160	valid

simplify215.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	195
10	195
9	187
8	132
7	94
6	83
5	75
4	63
3	43
2	33
1	19
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
0.9b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

53.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
9.0ms	(/ 1 (+ x 1))
14.0ms	(/ 1 (- x 1))
203.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
26.0ms	(/ 1 (+ x 1))
16.0ms	(/ 1 (- x 1))
131.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify15.0s

Counts

153 → 153

Iterations

Iter	Nodes
3	4297
2	1427
1	492
0	219

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2 (* x x)) x)
0.2b	(/ 2 (pow x 7))
0.3b	(/ 2 (* x x))
0.3b	(/ 2 (pow x 5))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 163

Calls

4 calls:

24.0ms	(/ (/ 2 (* x x)) x)
10.0ms	(/ 2 (pow x 7))
17.0ms	(/ 2 (* x x))
10.0ms	(/ 2 (pow x 5))

series276.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (/ 2 (* x x)) x)
94.0ms	(/ 2 (pow x 7))
30.0ms	(/ 2 (* x x))
100.0ms	(/ 2 (pow x 5))

simplify2.4s

Counts

175 → 175

Iterations

Iter	Nodes
3	4292
2	1453
1	499
0	251

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2 (* x x)) x)
0.2b	(/ 2 (pow x 7))
0.3b	(/ 2 (* x x))
0.3b	(/ 2 (pow x 5))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 163

Calls

4 calls:

24.0ms	(/ (/ 2 (* x x)) x)
10.0ms	(/ 2 (pow x 7))
14.0ms	(/ 2 (* x x))
11.0ms	(/ 2 (pow x 5))

series287.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (/ 2 (* x x)) x)
98.0ms	(/ 2 (pow x 7))
34.0ms	(/ 2 (* x x))
94.0ms	(/ 2 (pow x 5))

simplify2.5s

Counts

175 → 175

Iterations

Iter	Nodes
3	4292
2	1453
1	499
0	251

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (/ 1 x) (/ 2 x)) x)
0.2b	(/ 2 (pow x 7))
0.2b	(* (/ 1 x) (/ 2 x))
0.3b	(/ 2 (pow x 5))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
69×	`add-sqr-sqrt`
68×	`add-exp-log`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
38×	`add-cbrt-cube`
31×	`div-exp`
24×	`unpow-prod-down`
17×	`associate-/r*`
16×	`prod-exp`
15×	`cbrt-undiv`
13×	`associate-r` `associate-l`
8×	`cbrt-unprod` `sqr-pow`
7×	`associate-/l*`
6×	`pow1` `unswap-sqr`
5×	`div-inv`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`frac-times` `pow-to-exp` `associate-l/` `pow-exp` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 184

Calls

4 calls:

24.0ms	(/ (* (/ 1 x) (/ 2 x)) x)
5.0ms	(/ 2 (pow x 7))
14.0ms	(* (/ 1 x) (/ 2 x))
5.0ms	(/ 2 (pow x 5))

series276.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* (/ 1 x) (/ 2 x)) x)
110.0ms	(/ 2 (pow x 7))
30.0ms	(* (/ 1 x) (/ 2 x))
73.0ms	(/ 2 (pow x 5))

simplify3.0s

Counts

196 → 196

Iterations

Iter	Nodes
2	2264
1	652
0	286

prune2.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

98.7% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 9.1b

bsearch239.0ms

Steps

Iters	Range		Point
10	1.4996160052323843e-06	45385424.466692075	111.69425311390617
10	-8.26555774309129e+15	-0.755072844465923	-113.57820944408793

simplify5.0ms

Iterations

Iter	Nodes
2	38
1	38
0	31

end0.0ms

sample2.9s

Algorithm

intervals

Results

981.0ms	1888×	body	640	valid
965.0ms	4234×	body	80	valid
366.0ms	534×	body	1280	valid
360.0ms	891×	body	320	valid
101.0ms	455×	body	160	valid