Details

sample321.0ms

Algorithm

intervals

Results

142.0ms	109×	body	1280	valid
35.0ms	47×	body	640	valid
27.0ms	28×	body	10240	exit
22.0ms	154×	body	80	valid
18.0ms	176×	body	80	nan
17.0ms	22×	body	640	nan
15.0ms	31×	body	320	valid
14.0ms	16×	body	1280	nan
5.0ms	15×	body	160	valid
4.0ms	9×	body	320	nan
1.0ms	5×	body	160	nan

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
5	1285
4	283
3	84
2	36
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow x (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite101.0ms

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:

6.0ms	(pow x (/ 1 n))
14.0ms	(pow (+ x 1) (/ 1 n))
78.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(pow x (/ 1 n))
115.0ms	(pow (+ x 1) (/ 1 n))
240.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5004
2	1371
1	473
0	176

prune582.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.6b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite201.0ms

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:

7.0ms	(pow (+ x 1) (/ 1 n))
60.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
67.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow (+ x 1) (/ 1 n))
249.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
259.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
251.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.9s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
3	2881
2	918
1	348
0	136

prune987.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.5b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.6b	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
28×	`unpow-prod-down`
19×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
13×	`pow-unpow` `log-prod` `sqr-pow`
8×	`add-log-exp`
6×	`pow1` `exp-prod` `add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `distribute-lft-out`
3×	`pow-div`
2×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `div-inv` `flip--`
1×	`pow-to-exp` `log-div` `pow-pow` `div-exp` `pow-exp`

Counts

4 → 107

Calls

4 calls:

7.0ms	(pow (+ x 1) (/ 1 n))
49.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
51.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
21.0ms	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

series966.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (+ x 1) (/ 1 n))
235.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
276.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
341.0ms	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

simplify2.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
3	3280
2	1170
1	476
0	201

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.5b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.8b	(+ (log (/ 1 (sqrt (exp (pow x (/ 1 n)))))) (- (pow (+ x 1) (/ 1 n)) (log (sqrt (exp (pow x (/ 1 n)))))))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`times-frac`
25×	`add-cube-cbrt`
24×	`unpow-prod-down`
22×	`associate-+l+` `log-prod`
18×	`difference-of-squares`
13×	`pow-unpow` `sqr-pow`
10×	`pow1` `distribute-lft-out--` `add-log-exp`
9×	`sqrt-prod` `distribute-lft-out`
5×	`add-exp-log` `log-pow`
4×	`add-cbrt-cube` `insert-posit16`
3×	`sub-neg` `diff-log`
2×	`associate-+r+` `sum-log` `flip3--` `div-inv` `flip--`
1×	`pow-to-exp` `+-commutative` `log-div` `associate-+r-` `pow-pow` `flip3-+` `pow-exp` `associate-+l-` `flip-+`

Counts

4 → 124

Calls

4 calls:

7.0ms	(pow (+ x 1) (/ 1 n))
73.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
64.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
223.0ms	(+ (log (/ 1 (sqrt (exp (pow x (/ 1 n)))))) (- (pow (+ x 1) (/ 1 n)) (log (sqrt (exp (pow x (/ 1 n)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

103.0ms	(pow (+ x 1) (/ 1 n))
226.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
224.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
625.0ms	(+ (log (/ 1 (sqrt (exp (pow x (/ 1 n)))))) (- (pow (+ x 1) (/ 1 n)) (log (sqrt (exp (pow x (/ 1 n)))))))

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	1676
1	571
0	226

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.5b

regimes321.0ms

Accuracy

83.4% (1.5b remaining)

Error of 22.5b against oracle of 21.0b and baseline of 29.9b

bsearch192.0ms

Steps

Iters	Range		Point
5	7.43027159421113e+15	23680829915495896.0	7547414330764314.0
3	-3.988943487888535e+21	-3.1098446226995644e+21	-3.1647883017738754e+21

simplify8.0ms

Iterations

Iter	Nodes
done	46
1	46
0	36

end0.0ms

sample11.3s

Algorithm

intervals

Results

3.6s	3267×	body	1280	valid
1.4s	1141×	body	10240	exit
1.3s	1580×	body	640	valid
1.1s	686×	body	640	nan
751.0ms	4594×	body	80	valid
746.0ms	631×	body	1280	nan
602.0ms	444×	body	160	valid
548.0ms	4931×	body	80	nan
514.0ms	838×	body	320	valid
204.0ms	353×	body	320	nan
52.0ms	182×	body	160	nan