Details

sample354.0ms

Algorithm

intervals

Results

121.0ms	92×	body	1280	valid
54.0ms	66×	body	640	valid
54.0ms	50×	body	10240	exit
25.0ms	26×	body	1280	nan
24.0ms	146×	body	80	valid
16.0ms	144×	body	80	nan
15.0ms	27×	body	320	valid
13.0ms	17×	body	640	nan
4.0ms	9×	body	320	nan
4.0ms	9×	body	160	valid
2.0ms	6×	body	160	nan

simplify1.4s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize28.0ms

Local error

Found 3 expressions with local error:

1.3b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.5b	(pow (+ x 1) (/ 1 n))
0.0b	(pow x (/ 1 n))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

Slowest

72.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
8.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series520.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

288.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
133.0ms	(pow (+ x 1) (/ 1 n))
99.0ms	(pow x (/ 1 n))

simplify1.4s

Counts: 91 → 91

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.1b

localize50.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
0.5b	(pow (+ x 1) (/ (/ 1 n) 2))
0.5b	(pow (+ x 1) (/ (/ 1 n) 2))
0.0b	(pow x (/ (/ 1 n) 2))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 201

Calls

4 calls:

Slowest

60.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
9.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
9.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
5.0ms	(pow x (/ (/ 1 n) 2))

series610.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

241.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
156.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
133.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
80.0ms	(pow x (/ (/ 1 n) 2))

simplify983.0ms

Counts: 213 → 213

prune3.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 21.0b

localize74.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
0.5b	(pow (+ x 1) (/ (/ 1 n) 2))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
66×	`times-frac`
63×	`*-un-lft-identity`
43×	`pow-unpow`
40×	`add-cube-cbrt`
34×	`unpow-prod-down`
27×	`difference-of-squares`
19×	`sqr-pow`
10×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `div-inv` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 134

Calls

4 calls:

Slowest

99.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
96.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
60.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
11.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

series985.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

343.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
251.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
246.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
146.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

simplify682.0ms

Counts: 146 → 146

prune2.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 21.0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))
1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.1b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
34×	`*-un-lft-identity`
24×	`sqr-pow`
16×	`log-pow`
15×	`exp-prod`
12×	`distribute-lft-out--`
10×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 106

Calls

4 calls:

Slowest

148.0ms	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))
67.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
53.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
53.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

340.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
305.0ms	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))
283.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
272.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))

simplify941.0ms

Counts: 118 → 118

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.0b

regimes391.0ms

Accuracy

84.6% (1.3b remaining)

Error of 22.3b against oracle of 20.9b and baseline of 29.5b

bsearch316.0ms

end0.0ms

sample11.6s

Algorithm

intervals

Results

4.4s	3208×	body	1280	valid
1.6s	1198×	body	10240	exit
1.4s	1660×	body	640	valid
873.0ms	4625×	body	80	valid
814.0ms	678×	body	1280	nan
597.0ms	5002×	body	80	nan
528.0ms	858×	body	320	valid
516.0ms	663×	body	640	nan
202.0ms	359×	body	320	nan
135.0ms	416×	body	160	valid
52.0ms	169×	body	160	nan