Details

sample264.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	16	4
2	20	4
3	26	4
4	31	4
5	33	4
6	33	4

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

12.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	291	774
1	924	758
2	3018	743
3	5001	743

prune119.0ms

Filtered

100 candidates to 62 candidates (62.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (/ (- (+ f n)) (- f n)))
0.0b	(log (exp (/ (- (+ f n)) (- f n))))
0.1b	(/ (- (+ f n)) (- f n))

rewrite55.0ms

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×	`add-exp-log` `associate-/r/`
5×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `distribute-frac-neg` `add-log-exp`
3×	`neg-sub0` `exp-neg` `expm1-log1p-u` `log-prod` `flip3--` `div-sub` `flip--` `log1p-expm1-u` `div-inv`
2×	`log-div` `exp-diff` `rem-log-exp` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `log-rec` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 259

Calls

3 calls:

16.0ms	(exp (/ (- (+ f n)) (- f n)))
17.0ms	(log (exp (/ (- (+ f n)) (- f n))))
9.0ms	(/ (- (+ f n)) (- f n))

series231.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(exp (/ (- (+ f n)) (- f n)))
69.0ms	(log (exp (/ (- (+ f n)) (- f n))))
73.0ms	(/ (- (+ f n)) (- f n))

simplify91.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	412	1692
1	1125	1633
2	3648	1596
3	5002	1593

prune351.0ms

Filtered

268 candidates to 161 candidates (60.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	267	6	273

Merged error: 0b

Counts

273 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (+ f n)) (- f n)))
0.1b	(/ (- (+ f n)) (- f n))
0.5b	(log1p (exp (/ (- (+ f n)) (- f n))))
0.5b	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

157×	`*-un-lft-identity`
120×	`times-frac`
113×	`add-sqr-sqrt`
66×	`exp-prod`
63×	`add-cube-cbrt`
44×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-lft-out`
12×	`associate-/l*`
11×	`neg-mul-1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
4×	`pow1` `associate-/r/`
2×	`neg-sub0` `expm1-log1p` `flip3--` `div-sub` `distribute-frac-neg` `flip--` `div-inv` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `exp-neg` `log1p-udef` `frac-2neg` `flip3-+` `exp-diff` `log1p-expm1` `div-exp` `clear-num` `flip-+` `rem-exp-log` `expm1-udef`

Counts

4 → 198

Calls

4 calls:

16.0ms	(exp (/ (- (+ f n)) (- f n)))
9.0ms	(/ (- (+ f n)) (- f n))
1.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))
1.0ms	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(exp (/ (- (+ f n)) (- f n)))
68.0ms	(/ (- (+ f n)) (- f n))
449.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))
193.0ms	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	381	1428
1	1092	1362
2	3448	1339
3	5002	1332

prune376.0ms

Filtered

210 candidates to 129 candidates (61.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	210	6	216

Merged error: 0b

Counts

216 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log1p (exp (/ (- (+ f n)) (- f n)))))
0.0b	(- (exp (log1p (exp (/ (- (+ f n)) (- f n))))) 1)
0.1b	(/ (- (+ f n)) (- f n))
0.5b	(log1p (exp (/ (- (+ f n)) (- f n))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
60×	`times-frac`
43×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`difference-of-squares`
14×	`distribute-lft-out--`
12×	`distribute-lft-out` `associate-/l*`
9×	`prod-diff`
7×	`add-exp-log` `add-log-exp`
6×	`neg-mul-1` `add-cbrt-cube`
5×	`expm1-log1p-u` `associate-/r*`
4×	`pow1` `log1p-expm1-u`
3×	`exp-prod` `fma-neg`
2×	`expm1-def` `log1p-udef` `flip3--` `associate-/r/` `flip--` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `difference-of-sqr-1` `div-sub` `log1p-expm1` `distribute-frac-neg` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 154

Calls

4 calls:

2.0ms	(exp (log1p (exp (/ (- (+ f n)) (- f n)))))
4.0ms	(- (exp (log1p (exp (/ (- (+ f n)) (- f n))))) 1)
10.0ms	(/ (- (+ f n)) (- f n))
1.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))

series930.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(exp (log1p (exp (/ (- (+ f n)) (- f n)))))
196.0ms	(- (exp (log1p (exp (/ (- (+ f n)) (- f n))))) 1)
71.0ms	(/ (- (+ f n)) (- f n))
470.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))

simplify97.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	428	1425
1	1540	1284
2	4802	1230
3	5001	1230

prune305.0ms

Filtered

166 candidates to 105 candidates (63.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	166	6	172

Merged error: 0b

Counts

172 → 6

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	15	6
2	15	6

end0.0ms

sample283.0ms

Algorithm

intervals

Results

161.0ms

8000×

body

valid