Details

sample319.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	13	8
2	16	8
3	20	8
4	26	8
5	29	8
6	31	8
done	31	8

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 97

Calls

1 calls:

33.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: 3 (420.0ms)

Iter	Nodes	Cost
0	135	1469
1	292	1395
2	702	1365
3	1907	1357
done	5000	1357

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

320×	`*-un-lft-identity`
241×	`times-frac`
232×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
92×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
69×	`associate-r`
68×	`cbrt-prod`
51×	`distribute-lft-out--` `difference-of-squares`
46×	`distribute-lft-out`
36×	`associate-/l*`
23×	`pow1` `neg-mul-1`
15×	`add-exp-log` `associate-/r*`
12×	`cbrt-div`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/` `distribute-neg-frac`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `associate-*r/` `distribute-frac-neg` `div-exp` `prod-exp` `clear-num` `pow-sqr` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 399

Calls

4 calls:

232.0ms	(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
34.0ms	(/ (- (+ f n)) (- f n))
35.0ms	(/ (- (+ f n)) (- f n))
32.0ms	(/ (- (+ f n)) (- f n))

series320.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
70.0ms	(/ (- (+ f n)) (- f n))
71.0ms	(/ (- (+ f n)) (- f n))
69.0ms	(/ (- (+ f n)) (- f n))

simplify1.8s

Counts

411 → 411

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	265	7480
1	592	7117
2	1451	6650
3	3138	6551
done	5000	6551

prune781.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))
2.3b	(log1p (/ (- (+ f n)) (- f n)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
60×	`times-frac`
59×	`add-sqr-sqrt`
33×	`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*`
4×	`add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u`
2×	`pow1` `associate-/r/` `log1p-expm1-u` `associate-/l/` `distribute-neg-frac` `add-log-exp`
1×	`cbrt-undiv` `neg-sub0` `log1p-udef` `flip3--` `frac-2neg` `flip3-+` `div-sub` `log1p-expm1` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

2 → 108

Calls

2 calls:

31.0ms	(/ (- (+ f n)) (- f n))
1.0ms	(log1p (/ (- (+ f n)) (- f n)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- (+ f n)) (- f n))
113.0ms	(log1p (/ (- (+ f n)) (- f n)))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: 3 (462.0ms)

Iter	Nodes	Cost
0	161	1625
1	339	1547
2	795	1496
3	2128	1488
done	5000	1488

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

39.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
4.0ms	(cbrt (- f n))
4.0ms	(cbrt (- f n))
4.0ms	(cbrt (- f n))

series577.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- f n)) (cbrt (- f n)))
153.0ms	(cbrt (- f n))
148.0ms	(cbrt (- f n))
148.0ms	(cbrt (- f n))

simplify2.3s

Counts

121 → 121

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1420	1158
4	3900	1118
done	5000	1114

prune268.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	16	29
2	17	29
done	17	29

end0.0ms

sample336.0ms

Algorithm

intervals

Results

163.0ms

8000×

body

valid