Details

sample58.0ms

Algorithm

intervals

Results

24.0ms	115×	body	5120	exit
6.0ms	184×	body	80	valid
4.0ms	122×	body	80	overflowed
4.0ms	22×	body	640	valid
3.0ms	30×	body	320	valid
1.0ms	21×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune9.0ms

Filtered

1 candidates to 1 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: 17.1b

Counts

2 → 2

localize13.0ms

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))
6.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
3.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
18.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune277.0ms

Filtered

188 candidates to 138 candidates (26.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Merged error: 0.3b

Counts

190 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* 2 (* wj x))

simplify82.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	66
1	318	56
2	1235	56
3	3444	56
4	5001	56

prune37.0ms

Filtered

21 candidates to 11 candidates (47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 0.3b

Counts

27 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (- wj 1) (exp wj))
6.5b	(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
77×	`times-frac`
46×	`add-cube-cbrt`
25×	`associate-r`
24×	`associate-l`
22×	`difference-of-squares`
20×	`add-cbrt-cube`
17×	`add-exp-log`
10×	`difference-of-sqr-1` `associate-/l*`
9×	`add-log-exp`
8×	`distribute-lft-out--`
7×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `frac-sub` `flip-+` `associate-/l/`
1×	`frac-times` `sub-neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 171

Calls

4 calls:

24.0ms	(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
5.0ms	(/ wj (+ wj 1))
7.0ms	(/ (- wj 1) (exp wj))
22.0ms	(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
3.0ms	(/ wj (+ wj 1))
8.0ms	(/ (- wj 1) (exp wj))
37.0ms	(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

simplify108.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	844	1620
1	4531	1505
2	5001	1505

prune230.0ms

Filtered

183 candidates to 127 candidates (30.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	183	6	189

Merged error: 0.3b

Counts

189 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
6.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
6.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
6.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-log-exp`
8×	`frac-sub` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-prod`
6×	`diff-log`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `flip3-+` `times-frac` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`
3×	`sub-neg` `associate--l+` `sum-log`
1×	`pow1/3`

Counts

4 → 79

Calls

4 calls:

34.0ms	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
34.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
15.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
15.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
15.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	371	1438
1	1115	1366
2	5001	1327

prune247.0ms

Filtered

91 candidates to 70 candidates (23.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0.3b

Counts

97 → 6

regimes113.0ms

Accuracy

34.3% (1.2b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 2.0b

bsearch16.0ms

Steps

Iters	Range		Point
7	-9.411844601910659e-08	-2.708263725627834e-09	-6.538898284126271e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

819.0ms	3747×	body	5120	exit
229.0ms	6287×	body	80	valid
123.0ms	3780×	body	80	overflowed
99.0ms	827×	body	320	valid
77.0ms	447×	body	640	valid
39.0ms	494×	body	160	valid

Details

sample58.0ms

simplify49.0ms

prune9.0ms

localize13.0ms

rewrite58.0ms

series38.0ms

simplify81.0ms

prune277.0ms

localize7.0ms

rewrite5.0ms

series4.0ms

simplify82.0ms

prune37.0ms

localize15.0ms

rewrite65.0ms

series67.0ms

simplify108.0ms

prune230.0ms

localize15.0ms

rewrite133.0ms

series83.0ms

simplify44.0ms

prune247.0ms

regimes113.0ms

bsearch16.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling