Details

sample301.0ms

Algorithm

intervals

Results

93.0ms	94×	body	1280	valid
34.0ms	47×	body	640	valid
31.0ms	166×	body	80	nan
27.0ms	28×	body	10240	exit
25.0ms	25×	body	1280	nan
20.0ms	144×	body	80	valid
17.0ms	27×	body	640	nan
16.0ms	30×	body	320	valid
7.0ms	17×	body	320	nan
5.0ms	17×	body	160	valid
2.0ms	8×	body	160	nan

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize16.0ms

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))

rewrite70.0ms

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

56.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series482.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

261.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
146.0ms	(pow (+ x 1) (/ 1 n))
75.0ms	(pow x (/ 1 n))

simplify2.1s

Counts: 91 → 91

prune863.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 17.3b

localize27.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
2.5b	(pow (+ x 1) (/ 1 n))
2.5b	(pow (+ x 1) (/ 1 n))
2.5b	(pow (+ x 1) (/ 1 n))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
34×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
12×	`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` `distribute-lft-out` `sqr-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 100

Calls

4 calls:

Slowest

88.0ms	(- (* (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
9.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))

series538.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

220.0ms	(- (* (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
112.0ms	(pow (+ x 1) (/ 1 n))
108.0ms	(pow (+ x 1) (/ 1 n))
97.0ms	(pow (+ x 1) (/ 1 n))

simplify913.0ms

Counts: 112 → 112

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 17.2b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`unpow-prod-down`
26×	`pow-unpow`
22×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube` `insert-posit16`
3×	`distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp` `div-inv`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 113

Calls

4 calls:

Slowest

145.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
91.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ 1 x) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series680.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

271.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
247.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
104.0ms	(pow (+ 1 x) (/ 1 n))
58.0ms	(pow x (/ 1 n))

simplify1.7s

Counts: 125 → 125

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 17.2b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

Slowest

78.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
13.0ms	(pow (+ 1 x) (/ 1 n))
13.0ms	(pow (+ 1 x) (/ 1 n))
12.0ms	(pow (+ 1 x) (/ 1 n))

series605.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

289.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
118.0ms	(pow (+ 1 x) (/ 1 n))
111.0ms	(pow (+ 1 x) (/ 1 n))
86.0ms	(pow (+ 1 x) (/ 1 n))

simplify998.0ms

Counts: 124 → 124

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 17.2b

regimes299.0ms

Accuracy

86% (1.2b remaining)

Error of 21.3b against oracle of 20.1b and baseline of 28.8b

bsearch390.0ms

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.2s	3161×	body	1280	valid
1.6s	4758×	body	80	valid
1.3s	1208×	body	10240	exit
1.3s	1559×	body	640	valid
762.0ms	629×	body	1280	nan
587.0ms	5138×	body	80	nan
525.0ms	659×	body	640	nan
428.0ms	839×	body	320	valid
225.0ms	322×	body	320	nan
188.0ms	436×	body	160	valid
56.0ms	202×	body	160	nan