Details

sample348.0ms

Algorithm

intervals

Results

117.0ms	106×	body	1280	valid
50.0ms	33×	body	10240	exit
42.0ms	50×	body	640	valid
26.0ms	20×	body	1280	nan
25.0ms	142×	body	80	valid
21.0ms	25×	body	640	nan
18.0ms	28×	body	320	valid
15.0ms	121×	body	80	nan
5.0ms	13×	body	160	valid
4.0ms	7×	body	320	nan
1.0ms	4×	body	160	nan

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize18.0ms

Local error

Found 3 expressions with local error:

2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0b	(pow (+ x 1) (/ 1 n))
0.2b	(pow x (/ 1 n))

rewrite77.0ms

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

59.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series390.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

223.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
85.0ms	(pow (+ x 1) (/ 1 n))
81.0ms	(pow x (/ 1 n))

simplify628.0ms

Counts: 111 → 91

prune972.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 18.5b

localize31.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0b	(pow (+ x 1) (/ 1 n))
0.2b	(pow x (/ 1 n))

rewrite182.0ms

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

107.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
64.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series692.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
220.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
105.0ms	(pow (+ x 1) (/ 1 n))
102.0ms	(pow x (/ 1 n))

simplify1.1s

Counts: 150 → 125

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.5b

localize78.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.8b	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
30×	`unpow-prod-down`
27×	`difference-of-squares`
26×	`*-un-lft-identity`
18×	`sqr-pow`
11×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 90

Calls

4 calls:

Slowest

89.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
57.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
49.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.0ms	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

642.0ms	(log (exp (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))
259.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
231.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
220.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify484.0ms

Counts: 137 → 102

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 18.5b

localize101.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
32×	`*-un-lft-identity`
24×	`sqr-pow`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

Slowest

82.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
79.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
71.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
55.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

277.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
270.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
254.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
252.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify666.0ms

Counts: 156 → 112

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.5b

regimes302.0ms

Accuracy

77.4% (2.0b remaining)

Error of 22.5b against oracle of 20.5b and baseline of 29.5b

bsearch25.0ms

end0.0ms

sample10.5s

Algorithm

intervals

Results

3.7s	3264×	body	1280	valid
1.5s	1142×	body	10240	exit
1.3s	1590×	body	640	valid
826.0ms	660×	body	1280	nan
680.0ms	4618×	body	80	valid
604.0ms	4993×	body	80	nan
550.0ms	665×	body	640	nan
438.0ms	877×	body	320	valid
225.0ms	408×	body	320	nan
131.0ms	427×	body	160	valid
80.0ms	179×	body	160	nan