Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	61×	body	640	valid
9.0ms	40×	body	320	valid
8.0ms	115×	body	80	valid
8.0ms	21×	body	1280	valid
2.0ms	19×	body	160	valid

simplify123.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	214
10	214
9	204
8	139
7	97
6	86
5	78
4	65
3	45
2	35
1	21
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.0b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite204.0ms

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:

8.0ms	(/ 1 (+ x 1))
9.0ms	(/ 1 (- x 1))
37.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
148.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ x 1))
26.0ms	(/ 1 (- x 1))
32.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
149.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify3.3s

Counts

153 → 153

Iterations

Iter	Nodes
3	3644
2	1384
1	493
0	219

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (pow x 7))
0.1b	(/ (/ 2 (* x x)) x)
0.4b	(/ 2 (pow x 5))
0.7b	(/ 2 (* x x))

rewrite49.0ms

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:

5.0ms	(/ 2 (pow x 7))
18.0ms	(/ (/ 2 (* x x)) x)
10.0ms	(/ 2 (pow x 5))
13.0ms	(/ 2 (* x x))

series279.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ 2 (pow x 7))
57.0ms	(/ (/ 2 (* x x)) x)
91.0ms	(/ 2 (pow x 5))
37.0ms	(/ 2 (* x x))

simplify2.0s

Counts

175 → 175

Iterations

Iter	Nodes
3	4421
2	1450
1	497
0	251

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2 (pow x 7)) (+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x))))
0.0b	(/ 2 (pow x 7))
0.1b	(/ (/ 2 x) (* x x))
0.4b	(/ 2 (pow x 5))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

73×	`times-frac`
55×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`add-exp-log`
24×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`associate-/l*`
15×	`associate-/r*`
12×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv` `sqr-pow`
5×	`div-inv`
4×	`pow1` `frac-add` `insert-posit16`
3×	`clear-num` `sum-log` `frac-2neg` `distribute-lft-out`
2×	`pow-to-exp` `flip3-+` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

75.0ms	(+ (/ 2 (pow x 7)) (+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x))))
9.0ms	(/ 2 (pow x 7))
17.0ms	(/ (/ 2 x) (* x x))
15.0ms	(/ 2 (pow x 5))

series363.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (/ 2 (pow x 7)) (+ (/ 2 (pow x 5)) (/ (/ 2 x) (* x x))))
117.0ms	(/ 2 (pow x 7))
54.0ms	(/ (/ 2 x) (* x x))
100.0ms	(/ 2 (pow x 5))

simplify946.0ms

Counts

170 → 170

Iterations

Iter	Nodes
2	2672
1	673
0	292

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (pow x 7))
0.1b	(/ (/ (/ 2 x) x) x)
0.1b	(/ (/ 2 x) x)
0.4b	(/ 2 (pow x 5))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
262×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
62×	`associate-/l*`
28×	`add-exp-log`
24×	`unpow-prod-down` `div-inv`
22×	`add-cbrt-cube`
20×	`associate-/r*`
15×	`div-exp`
11×	`cbrt-undiv`
8×	`sqr-pow`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `associate-/l/`

Counts

4 → 356

Calls

4 calls:

9.0ms	(/ 2 (pow x 7))
22.0ms	(/ (/ (/ 2 x) x) x)
15.0ms	(/ (/ 2 x) x)
10.0ms	(/ 2 (pow x 5))

series335.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ 2 (pow x 7))
79.0ms	(/ (/ (/ 2 x) x) x)
49.0ms	(/ (/ 2 x) x)
102.0ms	(/ 2 (pow x 5))

simplify1.2s

Counts

368 → 368

Iterations

Iter	Nodes
2	2581
1	1094
0	557

prune3.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

98% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 9.6b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	35
1	35
0	26

end0.0ms

sample2.6s

Algorithm

intervals

Results

883.0ms	4144×	body	80	valid
861.0ms	1866×	body	640	valid
341.0ms	570×	body	1280	valid
287.0ms	948×	body	320	valid
86.0ms	474×	body	160	valid