Details

sample334.0ms

Algorithm

intervals

Results

102.0ms	106×	body	1280	valid
54.0ms	20×	body	1280	nan
38.0ms	33×	body	10240	exit
36.0ms	50×	body	640	valid
22.0ms	142×	body	80	valid
19.0ms	25×	body	640	nan
18.0ms	28×	body	320	valid
13.0ms	121×	body	80	nan
4.0ms	13×	body	160	valid
3.0ms	7×	body	320	nan
1.0ms	4×	body	160	nan

simplify293.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

293.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize31.0ms

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))

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` `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

94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series426.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

237.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
112.0ms	(pow (+ x 1) (/ 1 n))
78.0ms	(pow x (/ 1 n))

simplify21.6s

Counts

111 → 91

Calls

111 calls:

Slowest

1.1s	(pow x (/ 1 (* (cbrt n) (cbrt n))))
632.0ms	(pow (+ x 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))))
619.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
615.0ms	(pow (+ x 1) (/ 1 (* (cbrt n) (cbrt n))))
562.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune952.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 18.9b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

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

141.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
71.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
13.0ms	(pow (+ 1 x) (/ 1 n))
6.0ms	(pow x (/ 1 n))

series797.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

298.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
289.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))
117.0ms	(pow (+ 1 x) (/ 1 n))
93.0ms	(pow x (/ 1 n))

simplify32.9s

Counts

150 → 125

Calls

150 calls:

Slowest

985.0ms	(pow (+ 1 x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))))
672.0ms	(pow (+ 1 x) (/ 1 (* (cbrt n) (cbrt n))))
624.0ms	(+ (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
581.0ms	(pow x (/ 1 (* (cbrt n) (cbrt n))))
567.0ms	(- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n))))

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.9b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

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

77.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
49.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
46.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
6.0ms	(log (exp (* (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

682.0ms	(log (exp (* (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))))
254.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
252.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
245.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

simplify41.4s

Counts

137 → 102

Calls

137 calls:

Slowest

841.0ms	(+ (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
582.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
580.0ms	(+ (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
557.0ms	(- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
551.0ms	(+ (sqrt (pow (+ 1 x) (/ 1 n))) (pow (sqrt x) (/ 1 n)))

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 18.9b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite270.0ms

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

78.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
70.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
64.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
54.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
279.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
275.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
260.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

simplify47.2s

Counts

156 → 112

Calls

156 calls:

Slowest

717.0ms	(/ (exp (pow (+ 1 x) (/ 1 n))) (exp (pow x (/ 1 n))))
640.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
619.0ms	(+ (pow (sqrt (+ 1 x)) (/ 1 n)) (pow x (/ (/ 1 n) 2)))
607.0ms	(+ (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
595.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.9b

regimes202.0ms

Accuracy

77.1% (2.0b remaining)

Error of 22.8b against oracle of 20.9b and baseline of 29.5b

bsearch11.0ms

end0.0ms

sample11.4s

Algorithm

intervals

Results

3.6s	3264×	body	1280	valid
1.8s	1590×	body	640	valid
1.4s	1142×	body	10240	exit
936.0ms	665×	body	640	nan
795.0ms	4618×	body	80	valid
771.0ms	660×	body	1280	nan
623.0ms	4993×	body	80	nan
554.0ms	877×	body	320	valid
204.0ms	408×	body	320	nan
134.0ms	427×	body	160	valid
52.0ms	179×	body	160	nan