Details

sample279.0ms

Algorithm

intervals

Results

86.0ms	104×	body	1280	valid
62.0ms	28×	body	10240	exit
28.0ms	39×	body	640	valid
22.0ms	24×	body	1280	nan
15.0ms	124×	body	80	valid
15.0ms	37×	body	320	valid
13.0ms	148×	body	80	nan
8.0ms	11×	body	640	nan
4.0ms	10×	body	320	nan
4.0ms	14×	body	160	valid
2.0ms	8×	body	160	nan

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize16.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.7b	(pow (+ x 1) (/ 1 n))
0.5b	(pow x (/ 1 n))

rewrite114.0ms

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

92.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
15.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series462.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

305.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
88.0ms	(pow (+ x 1) (/ 1 n))
69.0ms	(pow x (/ 1 n))

simplify1.8s

Counts: 91 → 91

prune890.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 19.3b

localize24.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
0.7b	(pow (+ 1 x) (/ 1 n))
0.5b	(pow x (/ 1 n))

rewrite92.0ms

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

71.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ 1 x) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series431.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

241.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
112.0ms	(pow (+ 1 x) (/ 1 n))
78.0ms	(pow x (/ 1 n))

simplify1.6s

Counts: 91 → 91

prune905.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.3b

localize31.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
1.9b	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))
0.7b	(pow (+ x 1) (/ 1 n))
0.2b	(/ (log x) n)

rewrite224.0ms

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

121.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))
87.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
9.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(/ (log x) n)

series673.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

246.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))
237.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
95.0ms	(pow (+ x 1) (/ 1 n))
95.0ms	(/ (log x) n)

simplify1.1s

Counts: 113 → 113

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.0b

localize67.0ms

Local error

Found 4 expressions with local error:

2.0b	(log (* (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))) (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))))
1.9b	(log (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))))
1.9b	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
1.9b	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`pow1`
11×	`log-pow`
10×	`*-un-lft-identity`
9×	`log-prod`
8×	`add-exp-log` `add-log-exp`
7×	`pow1/3`
6×	`add-cube-cbrt` `difference-of-squares`
5×	`cbrt-prod` `cbrt-div` `exp-diff`
4×	`log-div` `add-cbrt-cube` `insert-posit16`
3×	`sub-neg` `rem-log-exp`
2×	`unpow-prod-down` `flip3--` `diff-log` `exp-sum` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip--` `distribute-lft-out--` `sqr-pow`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/`

Counts

4 → 77

Calls

4 calls:

Slowest

194.0ms	(log (* (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))) (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))))
72.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
64.0ms	(log (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

502.0ms	(log (* (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))) (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))))))
440.0ms	(log (cbrt (exp (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))))))
247.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))
240.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))

simplify752.0ms

Counts: 89 → 89

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.0b

regimes329.0ms

Accuracy

81.3% (1.7b remaining)

Error of 22.1b against oracle of 20.4b and baseline of 29.6b

bsearch8.0ms

end0.0ms

sample10.9s

Algorithm

intervals

Results

3.8s	3166×	body	1280	valid
1.3s	1624×	body	640	valid
1.2s	1115×	body	10240	exit
1.2s	672×	body	1280	nan
906.0ms	4715×	body	80	valid
591.0ms	4953×	body	80	nan
537.0ms	614×	body	640	nan
462.0ms	833×	body	320	valid
185.0ms	334×	body	320	nan
150.0ms	476×	body	160	valid
57.0ms	185×	body	160	nan