Details

sample367.0ms

Algorithm

intervals

Results

105.0ms	104×	body	1280	valid
73.0ms	54×	body	640	valid
38.0ms	40×	body	10240	exit
30.0ms	32×	body	1280	nan
27.0ms	135×	body	80	valid
22.0ms	201×	body	80	nan
17.0ms	23×	body	640	nan
15.0ms	28×	body	320	valid
8.0ms	20×	body	160	valid
7.0ms	15×	body	320	nan
2.0ms	7×	body	160	nan

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	2681
5	735
4	218
3	82
2	34
1	17
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.5b	(pow x (/ 1 n))
1.7b	(pow (+ x 1) (/ 1 n))
2.1b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite97.0ms

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:

3.0ms	(pow x (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
85.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(pow x (/ 1 n))
101.0ms	(pow (+ x 1) (/ 1 n))
245.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	3490
2	1217
1	467
0	176

prune806.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 23.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow x (/ 1 n))
1.7b	(pow (+ 1 x) (/ 1 n))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

rewrite246.0ms

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:

5.0ms	(pow x (/ 1 n))
13.0ms	(pow (+ 1 x) (/ 1 n))
85.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
141.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow x (/ 1 n))
116.0ms	(pow (+ 1 x) (/ 1 n))
275.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
254.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

simplify3.1s

Counts

125 → 125

Iterations

Iter	Nodes
3	3809
2	1353
1	550
0	222

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 23.5b

localize50.0ms

Local error

Found 4 expressions with local error:

1.7b	(pow (+ 1 x) (/ 1 n))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`unpow-prod-down`
27×	`difference-of-squares`
19×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

9.0ms	(pow (+ 1 x) (/ 1 n))
63.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
60.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
87.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(pow (+ 1 x) (/ 1 n))
245.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
294.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
248.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

116 → 116

Iterations

Iter	Nodes
3	2308
2	827
1	347
0	136

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 23.5b

localize49.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.1b	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
34×	`*-un-lft-identity`
24×	`sqr-pow`
16×	`log-pow`
15×	`exp-prod`
12×	`distribute-lft-out--`
10×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 106

Calls

4 calls:

82.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
70.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
74.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
125.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

249.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
287.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
684.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
301.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
4	4652
3	1419
2	533
1	270
0	133

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 23.5b

regimes325.0ms

Accuracy

80.9% (1.6b remaining)

Error of 23.1b against oracle of 21.5b and baseline of 29.7b

bsearch1.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	56
1	56
0	46

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.3s	3169×	body	1280	valid
1.7s	1196×	body	10240	exit
1.1s	1586×	body	640	valid
1.0s	5198×	body	80	nan
816.0ms	692×	body	1280	nan
799.0ms	4684×	body	80	valid
528.0ms	666×	body	640	nan
397.0ms	828×	body	320	valid
210.0ms	373×	body	320	nan
176.0ms	487×	body	160	valid
43.0ms	162×	body	160	nan