Details

sample157.0ms

Algorithm

intervals

Results

48.0ms	101×	body	1280	valid
22.0ms	48×	body	10240	exit
20.0ms	57×	body	640	valid
10.0ms	172×	body	80	valid
10.0ms	23×	body	1280	nan
7.0ms	24×	body	640	nan
7.0ms	193×	body	80	nan
7.0ms	29×	body	320	valid
2.0ms	11×	body	320	nan
1.0ms	10×	body	160	valid
1.0ms	8×	body	160	nan

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	34	13
3	81	13
4	231	13
5	694	13
6	3452	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(pow (+ x 1.0) (/ 1.0 n))
1.0b	(pow x (/ 1.0 n))
2.2b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite105.0ms

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` `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 → 79

Calls

3 calls:

11.0ms	(pow (+ x 1.0) (/ 1.0 n))
5.0ms	(pow x (/ 1.0 n))
86.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series491.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(pow (+ x 1.0) (/ 1.0 n))
63.0ms	(pow x (/ 1.0 n))
276.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: 3 (751.0ms)

Iter	Nodes	Cost
0	190	1337
1	473	1246
2	1193	1206
3	3609	1183
done	5000	1183

prune268.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
1.0b	(pow (+ x 1.0) (/ 1.0 n))
1.0b	(pow x (/ 1.0 n))
2.7b	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`pow-unpow`
24×	`add-cube-cbrt`
18×	`times-frac`
12×	`unpow-prod-down`
10×	`log-pow`
8×	`pow1` `exp-prod`
6×	`add-exp-log` `log-prod`
5×	`add-log-exp`
4×	`add-cbrt-cube` `sqr-pow`
3×	`associate--l+` `difference-of-squares`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 95

Calls

4 calls:

35.0ms	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
263.0ms	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
151.0ms	(pow (+ x 1.0) (/ 1.0 n))
66.0ms	(pow x (/ 1.0 n))
296.0ms	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (778.0ms)

Iter	Nodes	Cost
0	209	1533
1	488	1326
2	1203	1274
3	3614	1248
done	5000	1248

prune361.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 19.9b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ 1.0 n))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
34.2b	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`pow-unpow`
9×	`times-frac`
8×	`add-log-exp`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`pow1/3` `diff-log` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow-exp` `associate--l+` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 67

Calls

4 calls:

4.0ms	(pow x (/ 1.0 n))
33.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
31.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
78.0ms	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

series1.3s

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow x (/ 1.0 n))
389.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
374.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
445.0ms	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

simplify2.0s

Counts

79 → 79

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	186	1667
1	469	1344
2	1301	1224
3	4399	1172
done	5000	1169

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.9b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1.0) (/ 1.0 n))
1.0b	(pow x (/ 1.0 n))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
34.0b	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `pow-unpow`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`times-frac`
8×	`unpow-prod-down` `add-log-exp`
6×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`cbrt-prod` `difference-of-squares` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `diff-log` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `pow1/3` `associate--l+` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 84

Calls

4 calls:

13.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
32.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
72.0ms	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

147.0ms	(pow (+ x 1.0) (/ 1.0 n))
68.0ms	(pow x (/ 1.0 n))
381.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
443.0ms	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

simplify741.0ms

Counts

96 → 96

Iterations

Useful iterations: done (738.0ms)

Iter	Nodes	Cost
0	221	1820
1	556	1721
2	1511	1322
done	5000	1267

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.8b

regimes196.0ms

Accuracy

91% (1.6b remaining)

Error of 22.1b against oracle of 20.5b and baseline of 38.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	94
1	51	94
done	51	94

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.4s	3099×	body	1280	valid
548.0ms	1589×	body	640	valid
428.0ms	1156×	body	10240	exit
313.0ms	660×	body	1280	nan
259.0ms	4859×	body	80	valid
212.0ms	655×	body	640	nan
192.0ms	853×	body	320	valid
189.0ms	5201×	body	80	nan
62.0ms	454×	body	160	valid
62.0ms	335×	body	320	nan
22.0ms	204×	body	160	nan