Details

sample138.0ms

Algorithm

intervals

Results

59.0ms

256×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
6	32
5	30
4	26
3	20
2	16
1	13
0	6

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 97

Calls

1 calls:

42.0ms

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

series140.0ms

Counts

1 → 3

Calls

1 calls:

140.0ms

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

simplify660.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1069
1	316
0	135

prune362.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

229×	`*-un-lft-identity`
180×	`times-frac`
165×	`add-sqr-sqrt`
132×	`exp-prod`
91×	`add-cube-cbrt`
67×	`log-pow`
64×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`distribute-lft-out--` `difference-of-squares`
32×	`distribute-lft-out`
16×	`neg-mul-1`
12×	`associate-/l*`
6×	`associate-/r/`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `distribute-frac-neg` `add-log-exp`
3×	`neg-sub0` `exp-neg` `expm1-log1p-u` `log-prod` `flip3--` `div-sub` `log1p-expm1-u` `div-inv` `flip--`
2×	`log-div` `exp-diff` `distribute-neg-frac` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `log-rec` `flip-+` `rem-exp-log`

Counts

3 → 258

Calls

3 calls:

72.0ms	(exp (/ (- (+ n f)) (- f n)))
75.0ms	(log (exp (/ (- (+ n f)) (- f n))))
55.0ms	(/ (- (+ n f)) (- f n))

series311.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(exp (/ (- (+ n f)) (- f n)))
92.0ms	(log (exp (/ (- (+ n f)) (- f n))))
110.0ms	(/ (- (+ n f)) (- f n))

simplify675.0ms

Counts

267 → 267

Iterations

Iter	Nodes
done	5001
2	1364
1	453
0	249

prune887.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))
0.0b	(/ (- (+ f n)) (- f n))
0.0b	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

314×	`*-un-lft-identity`
240×	`times-frac`
226×	`add-sqr-sqrt`
138×	`log-pow`
134×	`sqrt-pow1`
132×	`exp-prod`
126×	`add-cube-cbrt`
88×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
50×	`distribute-lft-out--` `difference-of-squares`
44×	`distribute-lft-out`
24×	`associate-/l*`
22×	`neg-mul-1`
12×	`log-prod`
10×	`associate-/r*` `add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`sqrt-prod`
4×	`neg-sub0` `expm1-log1p-u` `log-div` `flip3--` `sqrt-div` `div-sub` `distribute-frac-neg` `log1p-expm1-u` `div-inv` `flip--` `distribute-neg-frac` `add-log-exp` `associate-/l/`
2×	`exp-neg` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow1/2` `exp-diff` `div-exp` `rem-log-exp` `flip-+`

Counts

4 → 368

Calls

4 calls:

51.0ms	(/ (- (+ f n)) (- f n))
31.0ms	(/ (- (+ f n)) (- f n))
92.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
79.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (- (+ f n)) (- f n))
81.0ms	(/ (- (+ f n)) (- f n))
232.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
221.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

simplify650.0ms

Counts

380 → 380

Iterations

Iter	Nodes
done	5000
2	1347
1	455
0	258

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- f n))
0.5b	(cbrt (- f n))
0.5b	(cbrt (- f n))
0.5b	(* (cbrt (- f n)) (cbrt (- f n)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

7.0ms	(cbrt (- f n))
7.0ms	(cbrt (- f n))
7.0ms	(cbrt (- f n))
71.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

series893.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- f n))
221.0ms	(cbrt (- f n))
221.0ms	(cbrt (- f n))
240.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

simplify1.1s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	973
1	295
0	135

prune590.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
2	15
1	14
0	8

end0.0ms

sample669.0ms

Algorithm

intervals

Results

399.0ms

8000×

body

valid