Details

sample271.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify22.0ms

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

prune5.0ms

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: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

15.0ms

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

series90.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	293	774
1	927	758
2	3021	743
3	5001	743

prune141.0ms

Filtered

100 candidates to 62 candidates (62.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

10.0ms	(/ (- (+ f n)) (- f n))
1.0ms	(log1p (expm1 (/ (- (+ f n)) (- f n))))
1.0ms	(expm1 (/ (- (+ f n)) (- f n)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- (+ f n)) (- f n))
110.0ms	(log1p (expm1 (/ (- (+ f n)) (- f n))))
105.0ms	(expm1 (/ (- (+ f n)) (- f n)))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	323	918
1	971	882
2	3076	867
3	5001	867

prune202.0ms

Filtered

128 candidates to 82 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

374×	`*-un-lft-identity`
300×	`times-frac`
270×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
138×	`cbrt-prod`
132×	`unpow-prod-down` `cube-prod`
104×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
61×	`distribute-lft-out--` `difference-of-squares`
52×	`distribute-lft-out`
26×	`neg-mul-1`
12×	`associate-/l*`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `distribute-frac-neg` `div-exp` `pow-exp` `associate-/l/` `distribute-neg-frac` `rem-cube-cbrt` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `cube-neg` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 402

Calls

3 calls:

23.0ms	(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
9.0ms	(/ (- (+ f n)) (- f n))
16.0ms	(pow (/ (- (+ f n)) (- f n)) 3)

series252.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
66.0ms	(/ (- (+ f n)) (- f n))
79.0ms	(pow (/ (- (+ f n)) (- f n)) 3)

simplify140.0ms

Algorithm

egg-herbie

Counts

411 → 411

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	964	3812
1	4694	3496
2	5001	3496

prune377.0ms

Filtered

411 candidates to 150 candidates (36.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	410	1	411
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	410	5	415

Merged error: 0b

Counts

415 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

301×	`*-un-lft-identity`
240×	`times-frac`
217×	`add-sqr-sqrt`
198×	`cbrt-prod`
119×	`add-cube-cbrt`
84×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
49×	`distribute-lft-out--` `difference-of-squares`
42×	`distribute-lft-out`
21×	`neg-mul-1`
12×	`associate-/l*`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip-+`

Counts

4 → 328

Calls

4 calls:

10.0ms	(/ (- (+ f n)) (- f n))
10.0ms	(cbrt (/ (- (+ f n)) (- f n)))
13.0ms	(cbrt (/ (- (+ f n)) (- f n)))
10.0ms	(cbrt (/ (- (+ f n)) (- f n)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (- (+ f n)) (- f n))
234.0ms	(cbrt (/ (- (+ f n)) (- f n)))
237.0ms	(cbrt (/ (- (+ f n)) (- f n)))
236.0ms	(cbrt (/ (- (+ f n)) (- f n)))

simplify104.0ms

Algorithm

egg-herbie

Counts

340 → 340

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	389	3387
1	1048	3332
2	3201	3269
3	5002	3248

prune645.0ms

Filtered

340 candidates to 206 candidates (60.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	340	5	345

Merged error: 0b

Counts

345 → 5

regimes63.0ms

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

sample326.0ms

Algorithm

intervals

Results

191.0ms

8000×

body

valid