Details

sample340.0ms

Algorithm

intervals

Results

126.0ms	94×	body	1280	valid
35.0ms	47×	body	640	valid
32.0ms	28×	body	10240	exit
31.0ms	25×	body	1280	nan
21.0ms	144×	body	80	valid
18.0ms	27×	body	640	nan
18.0ms	166×	body	80	nan
15.0ms	30×	body	320	valid
8.0ms	17×	body	160	valid
7.0ms	17×	body	320	nan
2.0ms	8×	body	160	nan

simplify1.7s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize31.0ms

Local error

Found 3 expressions with local error:

2.5b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.2b	(pow x (/ 1 n))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
73×	`unpow-prod-down`
63×	`add-sqr-sqrt`
56×	`prod-diff`
51×	`add-cube-cbrt`
26×	`pow-unpow`
24×	`sqr-pow`
18×	`times-frac`
10×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 152

Calls

3 calls:

Slowest

122.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
12.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(pow x (/ 1 n))

series437.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

242.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
131.0ms	(pow (+ x 1) (/ 1 n))
64.0ms	(pow x (/ 1 n))

simplify847.0ms

Counts: 161 → 161

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.7b

localize33.0ms

Local error

Found 4 expressions with local error:

2.5b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.3b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
1.2b	(pow x (/ 1 n))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

135×	`unpow-prod-down`
130×	`*-un-lft-identity`
112×	`prod-diff`
108×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
61×	`log-prod`
58×	`exp-sum`
45×	`sqr-pow`
26×	`pow-unpow`
18×	`times-frac` `distribute-lft-out` `difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
8×	`fma-neg`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`pow-to-exp` `sub-neg` `pow-pow` `pow-exp` `div-inv`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 241

Calls

4 calls:

Slowest

168.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
77.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series676.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

243.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
237.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
132.0ms	(pow (+ x 1) (/ 1 n))
63.0ms	(pow x (/ 1 n))

simplify1.0s

Counts: 253 → 253

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.7b

localize69.0ms

Local error

Found 4 expressions with local error:

2.5b	(pow (+ x 1) (/ 1 n))
2.5b	(pow (+ x 1) (/ 1 n))
2.5b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`unpow-prod-down`
72×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
56×	`prod-diff`
39×	`pow-unpow`
27×	`times-frac`
25×	`sqr-pow`
12×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 184

Calls

4 calls:

Slowest

73.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
15.0ms	(pow (+ x 1) (/ 1 n))
8.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))

series548.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

231.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
113.0ms	(pow (+ x 1) (/ 1 n))
107.0ms	(pow (+ x 1) (/ 1 n))
96.0ms	(pow (+ x 1) (/ 1 n))

simplify1.7s

Counts: 196 → 196

prune3.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 13.7b

localize28.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (exp (* (/ 1 n) (log1p x))) (pow x (/ 1 n)))
1.2b	(pow x (/ 1 n))
0.3b	(* (/ 1 n) (log1p x))
0.0b	(exp (* (/ 1 n) (log1p x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
21×	`prod-diff`
20×	`times-frac`
14×	`add-exp-log`
13×	`pow-unpow` `unpow-prod-down` `associate-l`
9×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`sqr-pow`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `difference-of-squares` `unswap-sqr`
2×	`div-exp` `cbrt-unprod` `div-inv`
1×	`pow-to-exp` `cbrt-undiv` `rec-exp` `exp-prod` `sub-neg` `pow-pow` `flip3--` `exp-to-pow` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

4 → 124

Calls

4 calls:

Slowest

15.0ms	(- (exp (* (/ 1 n) (log1p x))) (pow x (/ 1 n)))
11.0ms	(* (/ 1 n) (log1p x))
7.0ms	(exp (* (/ 1 n) (log1p x)))
3.0ms	(pow x (/ 1 n))

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(- (exp (* (/ 1 n) (log1p x))) (pow x (/ 1 n)))
76.0ms	(pow x (/ 1 n))
72.0ms	(* (/ 1 n) (log1p x))
62.0ms	(exp (* (/ 1 n) (log1p x)))

simplify767.0ms

Counts: 136 → 136

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 13.5b

regimes362.0ms

Accuracy

87% (1.6b remaining)

Error of 18.2b against oracle of 16.6b and baseline of 28.8b

bsearch8.0ms

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.6s	3161×	body	1280	valid
1.4s	1208×	body	10240	exit
1.3s	1559×	body	640	valid
1.1s	629×	body	1280	nan
718.0ms	4758×	body	80	valid
659.0ms	5138×	body	80	nan
504.0ms	659×	body	640	nan
444.0ms	839×	body	320	valid
241.0ms	322×	body	320	nan
134.0ms	436×	body	160	valid
81.0ms	202×	body	160	nan