Details

sample60.0ms

Algorithm

intervals

Results

29.0ms	140×	body	5120	exit
7.0ms	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

simplify49.0ms

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

prune7.0ms

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

localize12.0ms

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)))

rewrite56.0ms

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))
30.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
23.0ms	(/ wj (+ wj 1))
38.0ms	(/ (/ x (+ wj 1)) (exp wj))
57.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune413.0ms

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))

rewrite15.0ms

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:

10.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series49.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
19.0ms	(* 2 (* wj x))

simplify111.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (23.0ms)

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

prune69.0ms

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))))

rewrite42.0ms

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:

17.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
9.0ms	(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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
262.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
265.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
260.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

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

prune295.0ms

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)

rewrite34.0ms

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:

9.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
10.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

series928.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
282.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
264.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
123.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	401	1056
1	1440	996
2	5001	981

prune291.0ms

Filtered

75 candidates to 61 candidates (81.3%)

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

regimes127.0ms

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

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

848.0ms	3905×	body	5120	exit
233.0ms	6316×	body	80	valid
128.0ms	3847×	body	80	overflowed
85.0ms	758×	body	320	valid
83.0ms	467×	body	640	valid
39.0ms	526×	body	160	valid

Details

sample60.0ms

simplify49.0ms

prune7.0ms

localize12.0ms

rewrite56.0ms

series141.0ms

simplify82.0ms

prune413.0ms

localize7.0ms

rewrite15.0ms

series49.0ms

simplify111.0ms

prune69.0ms

localize11.0ms

rewrite42.0ms

series1.1s

simplify51.0ms

prune295.0ms

localize16.0ms

rewrite34.0ms

series928.0ms

simplify51.0ms

prune291.0ms

regimes127.0ms

bsearch26.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling