Details

sample356.0ms

Algorithm

intervals

Results

112.0ms	104×	body	1280	valid
52.0ms	68×	body	640	valid
40.0ms	147×	body	80	valid
35.0ms	34×	body	10240	exit
30.0ms	27×	body	1280	nan
21.0ms	29×	body	640	nan
19.0ms	155×	body	80	nan
13.0ms	22×	body	320	valid
7.0ms	13×	body	320	nan
4.0ms	11×	body	160	valid
1.0ms	3×	body	160	nan

simplify1.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize14.0ms

Local error

Found 3 expressions with local error:

1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.7b	(pow (+ x 1) (/ 1 n))
0.5b	(pow x (/ 1 n))

rewrite88.0ms

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

65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
15.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(pow x (/ 1 n))

series505.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

286.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
142.0ms	(pow (+ x 1) (/ 1 n))
77.0ms	(pow x (/ 1 n))

simplify2.5s

Counts: 91 → 91

prune903.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 22.4b

localize30.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (pow (+ x 1) (/ 1 n)) (* (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (cbrt (pow x (/ 1 n)))))
0.7b	(pow (+ x 1) (/ 1 n))
0.5b	(pow x (/ 1 n))
0.5b	(pow x (/ 1 n))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
30×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
10×	`unpow-prod-down`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

Slowest

64.0ms	(- (pow (+ x 1) (/ 1 n)) (* (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (cbrt (pow x (/ 1 n)))))
13.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))
5.0ms	(pow x (/ 1 n))

series518.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

269.0ms	(- (pow (+ x 1) (/ 1 n)) (* (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (cbrt (pow x (/ 1 n)))))
99.0ms	(pow (+ x 1) (/ 1 n))
77.0ms	(pow x (/ 1 n))
72.0ms	(pow x (/ 1 n))

simplify2.0s

Counts: 110 → 110

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 22.4b

localize55.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.6b	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))
0.7b	(pow (+ 1 x) (/ 1 n))
0.2b	(/ (log x) n)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac`
13×	`pow-unpow`
12×	`log-pow`
10×	`pow1`
7×	`exp-prod` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`log-prod`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r*` `sqr-pow`
2×	`sub-neg` `exp-sum` `div-inv` `distribute-lft-out--`
1×	`pow-to-exp` `cbrt-undiv` `log-div` `clear-num` `pow-pow` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

Slowest

170.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))
53.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
6.0ms	(pow (+ 1 x) (/ 1 n))
6.0ms	(/ (log x) n)

series687.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

287.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))
210.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
116.0ms	(pow (+ 1 x) (/ 1 n))
73.0ms	(/ (log x) n)

simplify1.3s

Counts: 113 → 113

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.2b

localize61.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.8b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.8b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.6b	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`add-log-exp`
8×	`log-pow`
7×	`exp-prod`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`sub-neg` `unpow-prod-down` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--` `sqr-pow`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 74

Calls

4 calls:

Slowest

147.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))
75.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
66.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
65.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))

series963.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

260.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
251.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
230.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))
221.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))

simplify1.3s

Counts: 86 → 86

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.2b

regimes376.0ms

Accuracy

84.4% (1.4b remaining)

Error of 21.7b against oracle of 20.3b and baseline of 29.3b

bsearch347.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.5s	3124×	body	1280	valid
1.4s	1650×	body	640	valid
1.3s	1186×	body	10240	exit
1.1s	4766×	body	80	valid
757.0ms	618×	body	1280	nan
610.0ms	5122×	body	80	nan
498.0ms	674×	body	640	nan
417.0ms	798×	body	320	valid
212.0ms	383×	body	320	nan
128.0ms	439×	body	160	valid
99.0ms	215×	body	160	nan