Details

sample64.0ms

Algorithm

intervals

Results

31.0ms	140×	body	5120	exit
8.0ms	199×	body	80	valid
4.0ms	124×	body	80	overflowed
3.0ms	27×	body	320	valid
2.0ms	12×	body	640	valid
2.0ms	21×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	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: 13.2b

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))
5.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite55.0ms

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))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
28.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (+ wj 1))
27.0ms	(/ wj (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
60.0ms	(- (+ (/ (/ 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	5001	1469

prune384.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Merged error: 0.6b

Counts

190 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
24.0ms	(* 2 (* wj x))

simplify111.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	162	196
1	645	179
2	3837	177
3	5001	177

prune65.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	36	8	44

Merged error: 0.6b

Counts

44 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
288.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
280.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
279.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	315	1593
1	1201	1500
2	5001	1416

prune271.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	98	9	107

Merged error: 0.6b

Counts

107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
1.0b	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
9.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
271.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
450.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
132.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	401	1079
1	1347	1006
2	5001	990

prune272.0ms

Filtered

75 candidates to 66 candidates (88.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	76	8	84

Merged error: 0.6b

Counts

84 → 8

regimes119.0ms

Accuracy

64.7% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.1b

bsearch26.0ms

Steps

Iters	Range		Point
6	1.0577176516808163e-09	1.3648298396175304e-08	3.64129178563559e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

911.0ms	3905×	body	5120	exit
245.0ms	6316×	body	80	valid
140.0ms	3847×	body	80	overflowed
91.0ms	758×	body	320	valid
87.0ms	467×	body	640	valid
41.0ms	526×	body	160	valid

Details

sample64.0ms

simplify48.0ms

prune6.0ms

localize13.0ms

rewrite55.0ms

series151.0ms

simplify81.0ms

prune384.0ms

localize7.0ms

rewrite13.0ms

series54.0ms

simplify111.0ms

prune65.0ms

localize11.0ms

rewrite43.0ms

series1.2s

simplify52.0ms

prune271.0ms

localize16.0ms

rewrite30.0ms

series1.1s

simplify47.0ms

prune272.0ms

regimes119.0ms

bsearch26.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling