Details

sample92.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify33.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/` `distribute-neg-frac`
1×	`pow1` `cbrt-undiv` `neg-sub0` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

82.0ms

(/ (- (+ f n)) (- f n))

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(/ (- (+ f n)) (- f n))

simplify1.2s

Counts: 98 → 98

prune230.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- f n) (- (+ f n))))
0.0b	(/ (- f n) (- (+ f n)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
438×	`*-un-lft-identity`
334×	`add-sqr-sqrt`
212×	`add-cube-cbrt`
104×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
78×	`associate-/r*`
61×	`distribute-lft-out--` `difference-of-squares`
52×	`distribute-lft-out`
26×	`neg-mul-1`
15×	`add-exp-log`
11×	`associate-/r/`
10×	`distribute-neg-frac`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 382

Calls

2 calls:

56.0ms	(/ 1 (/ (- f n) (- (+ f n))))
35.0ms	(/ (- f n) (- (+ f n)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(/ 1 (/ (- f n) (- (+ f n))))
109.0ms	(/ (- f n) (- (+ f n)))

simplify1.7s

Counts: 388 → 388

prune787.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
0.1b	(/ (sqrt (+ f n)) (- f n))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
72×	`times-frac`
53×	`sqrt-prod`
45×	`add-cube-cbrt`
41×	`associate-r`
18×	`associate-l`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
6×	`sqrt-div`
5×	`associate-/r*`
4×	`pow1` `associate-/r/` `distribute-neg-frac`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 144

Calls

2 calls:

152.0ms	(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
46.0ms	(/ (sqrt (+ f n)) (- f n))

series219.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
112.0ms	(/ (sqrt (+ f n)) (- f n))

simplify926.0ms

Counts: 150 → 150

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))))
0.1b	(/ 1 (sqrt (- (+ f n))))
0.2b	(* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))
0.2b	(/ (- f n) (sqrt (- (+ f n))))

rewrite525.0ms

Algorithm

rewrite-expression-head

Rules

282×	`*-un-lft-identity`
265×	`times-frac`
250×	`add-sqr-sqrt`
227×	`sqrt-prod`
142×	`add-cube-cbrt`
110×	`add-exp-log`
81×	`associate-r`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
53×	`div-exp`
51×	`associate-l`
38×	`add-cbrt-cube`
36×	`distribute-lft-out`
32×	`prod-exp`
31×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
18×	`neg-mul-1` `rec-exp` `1-exp`
15×	`cbrt-undiv` `unswap-sqr`
11×	`pow1` `associate-/r/` `associate-/l*`
8×	`sqrt-div` `cbrt-unprod` `distribute-neg-frac`
5×	`pow-flip` `div-inv`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/l/` `inv-pow`
1×	`flip3--` `sqrt-pow1` `pow1/2` `div-sub` `*-commutative` `flip--`

Counts

4 → 421

Calls

4 calls:

153.0ms	(/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))))
24.0ms	(/ 1 (sqrt (- (+ f n))))
252.0ms	(* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))
48.0ms	(/ (- f n) (sqrt (- (+ f n))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))))
153.0ms	(/ 1 (sqrt (- (+ f n))))
165.0ms	(* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))
122.0ms	(/ (- f n) (sqrt (- (+ f n))))

simplify813.0ms

Counts: 433 → 433

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

45.1% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.3s

end0.0ms

sample676.0ms

Algorithm

intervals

Results

401.0ms

8000×

body

valid