Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	8
1	13	8
2	16	8
3	20	8
4	26	8
5	31	8
6	32	8
done	32	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

13.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify871.0ms

Counts

98 → 98

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	133	1451
1	293	1379
2	822	1351
3	2305	1341
done	5000	1340

prune90.0ms

Filtered

61 candidates to 98 candidates (-60.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (neg (pow (/ (+ f n) (- f n)) 3)))
0.0b	(/ (+ f n) (- f n))
0.0b	(pow (/ (+ f n) (- f n)) 3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
140×	`times-frac`
136×	`add-sqr-sqrt`
120×	`cbrt-prod`
78×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
58×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`associate-/r*`
4×	`pow1` `associate-/l*`
3×	`cube-mult` `pow-unpow` `unpow3` `add-log-exp` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `neg-mul-1` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `flip-+` `distribute-neg-frac`

Counts

3 → 246

Calls

3 calls:

16.0ms	(cbrt (neg (pow (/ (+ f n) (- f n)) 3)))
12.0ms	(/ (+ f n) (- f n))
11.0ms	(pow (/ (+ f n) (- f n)) 3)

series104.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(cbrt (neg (pow (/ (+ f n) (- f n)) 3)))
9.0ms	(/ (+ f n) (- f n))
14.0ms	(pow (/ (+ f n) (- f n)) 3)

simplify511.0ms

Counts

255 → 255

Iterations

Useful iterations: done (502.0ms)

Iter	Nodes	Cost
0	261	4881
1	588	4295
2	2000	3978
done	5001	3936

prune198.0ms

Filtered

111 candidates to 255 candidates (-129.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	256	3	259

Merged error: 0b

Counts

259 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (+ f n) (- f n))))
0.0b	(cbrt (neg (pow (log (exp (/ (+ f n) (- f n)))) 3)))
0.0b	(/ (+ f n) (- f n))
0.0b	(pow (log (exp (/ (+ f n) (- f n)))) 3)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

244×	`*-un-lft-identity`
189×	`log-pow`
182×	`exp-prod`
162×	`add-sqr-sqrt`
160×	`times-frac`
136×	`cbrt-prod`
96×	`add-cube-cbrt`
90×	`unpow-prod-down` `cube-prod`
66×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
12×	`pow1`
8×	`flip3--` `flip--` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
3×	`cube-mult` `pow-unpow` `log-prod` `unpow3` `sqr-pow`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `neg-mul-1` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `clear-num` `flip-+` `rem-cube-cbrt`

Counts

4 → 304

Calls

4 calls:

11.0ms	(log (exp (/ (+ f n) (- f n))))
20.0ms	(cbrt (neg (pow (log (exp (/ (+ f n) (- f n)))) 3)))
9.0ms	(/ (+ f n) (- f n))
15.0ms	(pow (log (exp (/ (+ f n) (- f n)))) 3)

series110.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(log (exp (/ (+ f n) (- f n))))
76.0ms	(cbrt (neg (pow (log (exp (/ (+ f n) (- f n)))) 3)))
9.0ms	(/ (+ f n) (- f n))
15.0ms	(pow (log (exp (/ (+ f n) (- f n)))) 3)

simplify618.0ms

Counts

316 → 316

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	341	6312
1	693	5036
2	2298	4630
done	5000	4579

prune261.0ms

Filtered

145 candidates to 316 candidates (-117.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	316	3	319

Merged error: 0b

Counts

319 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-prod`
94×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`swap-sqr`
32×	`distribute-rgt-neg-in`
28×	`distribute-lft-neg-in` `cbrt-div`
23×	`associate-r` `associate-l`
18×	`pow1` `distribute-lft-out`
16×	`distribute-neg-frac`
14×	`pow1/3`
8×	`add-exp-log` `frac-times` `flip3-+` `flip-+` `unswap-sqr`
6×	`neg-mul-1` `flip3--` `flip--` `distribute-lft-out--`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 183

Calls

4 calls:

4.0ms	(cbrt (neg (+ f n)))
4.0ms	(cbrt (neg (+ f n)))
17.0ms	(* (cbrt (neg (+ f n))) (cbrt (neg (+ f n))))
12.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (neg (+ f n)))
37.0ms	(cbrt (neg (+ f n)))
53.0ms	(* (cbrt (neg (+ f n))) (cbrt (neg (+ f n))))
33.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

simplify1.0s

Counts

195 → 195

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	240	2828
1	463	2609
2	1541	2430
3	4398	2225
done	5000	2202

prune188.0ms

Filtered

130 candidates to 195 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Merged error: 0b

Counts

198 → 3

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	12	13
done	12	13

end0.0ms

sample451.0ms

Algorithm

intervals

Results

211.0ms

8000×

body

valid

Details

sample27.0ms

simplify24.0ms

prune5.0ms

localize8.0ms

rewrite27.0ms

series22.0ms

simplify871.0ms

prune90.0ms

localize9.0ms

rewrite55.0ms

series104.0ms

simplify511.0ms

prune198.0ms

localize12.0ms

rewrite81.0ms

series110.0ms

simplify618.0ms

prune261.0ms

localize16.0ms

rewrite45.0ms

series163.0ms

simplify1.0s

prune188.0ms

regimes115.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample451.0ms

Profiling