Details

sample367.0ms

Algorithm

intervals

Results

100.0ms	94×	body	1280	valid
60.0ms	39×	body	10240	exit
55.0ms	71×	body	640	valid
29.0ms	22×	body	1280	nan
23.0ms	151×	body	80	valid
22.0ms	178×	body	80	nan
20.0ms	22×	body	640	nan
17.0ms	31×	body	320	valid
9.0ms	17×	body	320	nan
5.0ms	14×	body	160	valid
3.0ms	11×	body	160	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2506
5	667
4	220
3	84
2	36
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow x (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (pow (+ x 1) (/ 1 n)) (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:

3.0ms	(pow x (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
66.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series436.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(pow x (/ 1 n))
111.0ms	(pow (+ x 1) (/ 1 n))
250.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
3	3497
2	1130
1	460
0	176

prune924.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 23.9b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

13.0ms	(pow (+ x 1) (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
15.0ms	(pow (+ x 1) (/ 1 n))
31.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(pow (+ x 1) (/ 1 n))
102.0ms	(pow (+ x 1) (/ 1 n))
107.0ms	(pow (+ x 1) (/ 1 n))
227.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

simplify709.0ms

Counts

116 → 116

Iterations

Iter	Nodes
3	2295
2	803
1	329
0	128

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 23.8b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(log (exp (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))
1.7b	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(pow (+ x 1) (/ 1 n))
12.0ms	(pow (+ x 1) (/ 1 n))
21.0ms	(log (exp (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))
37.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(pow (+ x 1) (/ 1 n))
94.0ms	(pow (+ x 1) (/ 1 n))
248.0ms	(log (exp (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))
257.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

simplify720.0ms

Counts

110 → 110

Iterations

Iter	Nodes
3	2410
2	911
1	384
0	160

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 23.8b

localize52.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (* (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))) (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))))
1.7b	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
1.7b	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
1.7b	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(log (exp (* (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))) (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))))
35.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
48.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
60.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

series1.3s

Counts

4 → 12

Calls

4 calls:

652.0ms	(log (exp (* (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))) (cbrt (- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))))))
231.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
240.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
224.0ms	(- (cbrt (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

simplify3.3s

Counts

78 → 78

Iterations

Iter	Nodes
4	6330
3	1914
2	681
1	298
0	128

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 23.8b

regimes384.0ms

Accuracy

81.6% (1.6b remaining)

Error of 22.4b against oracle of 20.9b and baseline of 29.3b

bsearch3.0ms

simplify22.0ms

Iterations

Iter	Nodes
2	49
1	49
0	39

end0.0ms

sample11.5s

Algorithm

intervals

Results

3.4s	3102×	body	1280	valid
1.5s	1139×	body	10240	exit
1.4s	1629×	body	640	valid
1.2s	616×	body	1280	nan
838.0ms	4813×	body	80	valid
643.0ms	5080×	body	80	nan
618.0ms	436×	body	160	valid
544.0ms	609×	body	640	nan
539.0ms	865×	body	320	valid
228.0ms	355×	body	320	nan
62.0ms	199×	body	160	nan