Details

sample385.0ms

Algorithm

intervals

Results

115.0ms	99×	body	1280	valid
66.0ms	50×	body	640	valid
62.0ms	44×	body	10240	exit
31.0ms	26×	body	1280	nan
26.0ms	154×	body	80	valid
20.0ms	164×	body	80	nan
16.0ms	18×	body	640	nan
14.0ms	26×	body	320	valid
6.0ms	10×	body	320	nan
4.0ms	10×	body	160	valid
2.0ms	6×	body	160	nan

simplify662.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

662.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize16.0ms

Local error

Found 3 expressions with local error:

2.0b	(pow (+ x 1) (/ 1 n))
1.8b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.3b	(pow x (/ 1 n))

rewrite110.0ms

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

95.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(pow x (/ 1 n))

series455.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

289.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
110.0ms	(pow (+ x 1) (/ 1 n))
57.0ms	(pow x (/ 1 n))

simplify9.8s

Counts

69 → 91

Calls

69 calls:

Slowest

529.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
522.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
519.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
504.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
468.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.7b

localize25.0ms

Local error

Found 4 expressions with local error:

2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
1.8b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.3b	(pow x (/ (/ 1 n) 2))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 201

Calls

4 calls:

Slowest

73.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
13.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
7.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
3.0ms	(pow x (/ (/ 1 n) 2))

series547.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

245.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
114.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
112.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
76.0ms	(pow x (/ (/ 1 n) 2))

simplify13.9s

Counts

181 → 213

Calls

181 calls:

Slowest

454.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
451.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
438.0ms	(- (pow (+ x 1) (/ (/ (/ 1 n) 2) 2)) (pow x (/ (/ (/ 1 n) 2) 2)))
391.0ms	(- (pow (+ x 1) (/ (/ (/ 1 n) 2) 2)) (pow (sqrt x) (/ (/ 1 n) 2)))
373.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))

prune2.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.7b

localize50.0ms

Local error

Found 4 expressions with local error:

2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
1.8b	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
1.8b	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
102×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
86×	`pow-unpow`
78×	`add-cube-cbrt`
28×	`unpow-prod-down`
18×	`difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
8×	`div-inv`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 174

Calls

4 calls:

Slowest

140.0ms	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))
85.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
11.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
8.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

series810.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

302.0ms	(log (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))
278.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))
120.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
110.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

simplify18.9s

Counts

156 → 186

Calls

156 calls:

Slowest

525.0ms	(+ (pow (sqrt (+ x 1)) (/ (/ 1 n) 2)) (sqrt (pow x (/ (/ 1 n) 2))))
498.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
492.0ms	(log (sqrt (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2))))))
465.0ms	(log (* (cbrt (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2))))) (cbrt (exp (- (pow (+ x 1) (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2)))))))
458.0ms	(- (pow (sqrt (+ x 1)) (/ (/ 1 n) 2)) (pow x (/ (/ (/ 1 n) 2) 2)))

prune2.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.7b

localize112.0ms

Local error

Found 4 expressions with local error:

2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
2.0b	(pow (+ x 1) (/ (/ 1 n) 2))
2.0b	(pow (+ x 1) (/ (/ 1 n) 2))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
172×	`pow-unpow`
156×	`*-un-lft-identity`
148×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `div-inv`
8×	`pow1` `add-exp-log`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `pow-exp` `insert-posit16` `distribute-lft-out` `add-log-exp` `sqr-pow`

Counts

4 → 236

Calls

4 calls:

Slowest

15.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
13.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
7.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
7.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

series534.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
137.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
134.0ms	(pow (+ x 1) (/ (/ 1 n) 2))
118.0ms	(pow (+ x 1) (/ (/ 1 n) 2))

simplify9.9s

Counts

208 → 248

Calls

208 calls:

Slowest

533.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
485.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
481.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
463.0ms	(pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (/ 1 n) 2))
401.0ms	(- (+ (* 1/2 (/ (log -1) n)) (+ 1 (* 1/2 (/ 1 (* x n))))) (* 1/2 (/ (log (/ -1 x)) n)))

prune5.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 21.7b

regimes361.0ms

Accuracy

86.1% (1.2b remaining)

Error of 22.1b against oracle of 20.9b and baseline of 29.5b

bsearch332.0ms

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.6s	3145×	body	1280	valid
1.7s	1168×	body	10240	exit
1.3s	1625×	body	640	valid
734.0ms	621×	body	1280	nan
734.0ms	4727×	body	80	valid
562.0ms	691×	body	640	nan
502.0ms	5047×	body	80	nan
467.0ms	840×	body	320	valid
162.0ms	351×	body	320	nan
136.0ms	432×	body	160	valid
44.0ms	170×	body	160	nan