Details

sample66.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune57.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ n f)) (- 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` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

44.0ms

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

series156.0ms

Counts

1 → 3

Calls

1 calls:

155.0ms

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

simplify657.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1077
1	314
0	135

prune352.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
112×	`exp-prod`
100×	`times-frac`
99×	`add-sqr-sqrt`
57×	`log-pow` `add-cube-cbrt`
52×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
5×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `div-inv` `flip--` `add-log-exp`
4×	`pow1` `associate-/l*`
3×	`exp-neg` `log-prod`
2×	`neg-sub0` `log-div` `neg-mul-1` `exp-diff` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `log-rec` `neg-log` `flip-+`

Counts

3 → 183

Calls

3 calls:

83.0ms	(exp (- (/ (+ n f) (- f n))))
34.0ms	(/ (+ n f) (- f n))
76.0ms	(log (exp (- (/ (+ n f) (- f n)))))

series359.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(exp (- (/ (+ n f) (- f n))))
108.0ms	(/ (+ n f) (- f n))
109.0ms	(log (exp (- (/ (+ n f) (- f n)))))

simplify580.0ms

Counts

192 → 192

Iterations

Iter	Nodes
done	5000
2	1046
1	368
0	201

prune803.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))))

rewrite260.0ms

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` `log-div` `flip3--` `sqrt-div` `div-sub` `distribute-frac-neg` `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 → 360

Calls

4 calls:

27.0ms	(/ (- (+ f n)) (- f n))
35.0ms	(/ (- (+ f n)) (- f n))
92.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
87.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (- (+ f n)) (- f n))
108.0ms	(/ (- (+ f n)) (- f n))
246.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
236.0ms	(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

simplify639.0ms

Counts

372 → 372

Iterations

Iter	Nodes
done	5000
2	1335
1	448
0	254

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

3.0ms	(cbrt (+ n f))
3.0ms	(cbrt (+ f n))
3.0ms	(cbrt (+ f n))
53.0ms	(* (cbrt (+ f n)) (cbrt (+ f n)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ n f))
210.0ms	(cbrt (+ f n))
203.0ms	(cbrt (+ f n))
269.0ms	(* (cbrt (+ f n)) (cbrt (+ f n)))

simplify832.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1506
1	365
0	154

prune899.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
2	15
1	11
0	8

end0.0ms

sample613.0ms

Algorithm

intervals

Results

370.0ms

8000×

body

valid