Details

sample259.0ms

Algorithm

intervals

Results

92.0ms	96×	body	1280	valid
38.0ms	58×	body	640	valid
19.0ms	29×	body	10240	exit
15.0ms	145×	body	80	valid
13.0ms	15×	body	1280	nan
12.0ms	157×	body	80	nan
11.0ms	23×	body	320	valid
10.0ms	17×	body	640	nan
6.0ms	24×	body	160	valid
5.0ms	12×	body	320	nan
1.0ms	5×	body	160	nan

simplify189.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.7b	(pow (+ x 1.0) (/ 1.0 n))
1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`unpow-prod-down`
13×	`pow-unpow`
10×	`add-cube-cbrt`
9×	`times-frac` `difference-of-squares`
7×	`sqr-pow`
4×	`add-log-exp`
3×	`pow1` `add-exp-log` `distribute-lft-out--`
2×	`add-cbrt-cube` `distribute-lft-out`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `pow-exp` `flip--` `div-inv`

Counts

2 → 52

Calls

2 calls:

19.0ms	(pow (+ x 1.0) (/ 1.0 n))
171.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series532.0ms

Counts

2 → 6

Calls

2 calls:

209.0ms	(pow (+ x 1.0) (/ 1.0 n))
322.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify84.0ms

Counts: 58 → 58

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow (+ x 1.0) (/ 1.0 n))
1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
24×	`unpow-prod-down`
18×	`difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
13×	`add-cube-cbrt` `pow-unpow` `sqr-pow`
9×	`times-frac`
6×	`distribute-lft-out--`
5×	`pow1` `log-prod` `add-log-exp`
4×	`add-exp-log`
3×	`add-cbrt-cube` `distribute-lft-out`
2×	`sub-neg` `exp-sum`
1×	`pow-to-exp` `log-div` `flip3--` `pow-pow` `exp-diff` `diff-log` `rem-log-exp` `pow-exp` `flip--` `div-inv`

Counts

3 → 82

Calls

3 calls:

12.0ms	(pow (+ x 1.0) (/ 1.0 n))
103.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
258.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

series989.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(pow (+ x 1.0) (/ 1.0 n))
395.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
362.0ms	(log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))

simplify114.0ms

Counts: 91 → 91

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 21.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.9b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
1.9b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`unpow-prod-down`
18×	`difference-of-squares`
16×	`log-prod`
12×	`sqr-pow`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`sub-neg` `exp-sum` `log-pow` `add-cbrt-cube`
2×	`log-div` `cbrt-div` `flip3--` `exp-diff` `pow1/3` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

118.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
136.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
81.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
121.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

series2.3s

Counts

4 → 12

Calls

4 calls:

420.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
518.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
624.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
697.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

simplify82.0ms

Counts: 98 → 98

prune780.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.9b

localize42.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.9b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
1.9b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
1.9b	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-cube-cbrt` `unpow-prod-down`
9×	`difference-of-squares`
7×	`pow1` `add-exp-log`
6×	`exp-sum` `log-pow` `add-log-exp` `sqr-pow`
4×	`sub-neg` `add-cbrt-cube`
3×	`log-div` `cbrt-div` `exp-diff` `pow1/3` `rem-log-exp` `distribute-lft-out--`
1×	`flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

133.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
104.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
89.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
105.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

series2.5s

Counts

4 → 12

Calls

4 calls:

433.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
665.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
665.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
774.0ms	(log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))

simplify115.0ms

Counts: 93 → 93

prune789.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.9b

regimes288.0ms

Accuracy

77.6% (2.0b remaining)

Error of 22.2b against oracle of 20.2b and baseline of 29.2b

bsearch1.0ms

simplify96.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.6s	3163×	body	1280	valid
1.4s	1524×	body	640	valid
897.0ms	4769×	body	80	valid
865.0ms	1164×	body	10240	exit
578.0ms	656×	body	1280	nan
468.0ms	860×	body	320	valid
379.0ms	664×	body	640	nan
352.0ms	5047×	body	80	nan
173.0ms	459×	body	160	valid
105.0ms	326×	body	320	nan
37.0ms	196×	body	160	nan