Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	119×	body	5120	exit
7.0ms	198×	body	80	valid
5.0ms	151×	body	80	overflowed
4.0ms	20×	body	640	valid
2.0ms	19×	body	320	valid
2.0ms	21×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 14.2b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(+ (/ (/ x (+ wj 1)) (exp wj)) wj)
0.0b	(/ (/ x (+ wj 1)) (exp wj))
6.7b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

277×	`*-un-lft-identity`
253×	`times-frac`
163×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
72×	`prod-diff`
58×	`fma-def` `distribute-lft-out`
24×	`associate-/r/`
21×	`associate-/l*`
14×	`flip3-+` `flip-+` `div-inv`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
7×	`associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `associate-/l/`

Counts

4 → 297

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
26.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) wj)
13.0ms	(/ (/ x (+ wj 1)) (exp wj))
32.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
243.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) wj)
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify131.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	994	4057
1	4393	3219
2	5001	3211

prune545.0ms

Filtered

309 candidates to 200 candidates (64.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	304	5	309
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	306	5	311

Merged error: 0.1b

Counts

311 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(* 2 (* wj x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (pow wj 2))
8.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series78.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (pow wj 2))
29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
19.0ms	(* 2 (* wj x))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	237	344
1	922	293
2	5001	274

prune113.0ms

Filtered

70 candidates to 49 candidates (70.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 0.1b

Counts

75 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
7.9b	(- wj (/ wj (+ wj 1)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
163×	`times-frac`
121×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
54×	`prod-diff`
29×	`distribute-lft-out`
24×	`associate-/l*`
18×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*`
10×	`div-inv`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 236

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
11.0ms	(- wj (/ wj (+ wj 1)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
38.0ms	(/ (/ x (+ wj 1)) (exp wj))
30.0ms	(- wj (/ wj (+ wj 1)))

simplify108.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	921	2790
1	4082	2167
2	5002	2164

prune408.0ms

Filtered

248 candidates to 162 candidates (65.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	248	5	253

Merged error: 0.1b

Counts

253 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(- (pow wj 4) (pow wj 3))
0.0b	(fma wj wj (- (pow wj 4) (pow wj 3)))
0.0b	(/ (/ x (+ wj 1)) (exp wj))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

145×	`*-un-lft-identity`
128×	`add-sqr-sqrt`
114×	`times-frac`
111×	`add-cube-cbrt`
84×	`prod-diff`
67×	`unpow-prod-down`
27×	`sqr-pow`
24×	`cube-prod`
21×	`associate-/l*`
16×	`distribute-lft-out`
12×	`difference-of-squares`
11×	`add-cbrt-cube`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`cube-mult` `fma-neg` `unpow3` `associate-/r*`
6×	`div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `associate-/l/` `distribute-lft-out--`

Counts

4 → 255

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
11.0ms	(- (pow wj 4) (pow wj 3))
1.0ms	(fma wj wj (- (pow wj 4) (pow wj 3)))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))

series174.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
78.0ms	(- (pow wj 4) (pow wj 3))
29.0ms	(fma wj wj (- (pow wj 4) (pow wj 3)))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify127.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	862	2505
1	3638	1947
2	5002	1942

prune458.0ms

Filtered

267 candidates to 136 candidates (50.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	267	5	272

Merged error: 0.1b

Counts

272 → 5

regimes56.0ms

Accuracy

78.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.1b

bsearch34.0ms

Steps

Iters	Range		Point
7	1.578317661697433e-06	0.00034751998712624757	9.967380119741091e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	26
1	33	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

870.0ms	3849×	body	5120	exit
228.0ms	6236×	body	80	valid
130.0ms	3836×	body	80	overflowed
90.0ms	514×	body	640	valid
89.0ms	782×	body	320	valid
40.0ms	538×	body	160	valid