Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.834229%

Results

32.0ms	122×	body	5120	exit
7.0ms	187×	body	80	valid
5.0ms	130×	body	80	overflowed
3.0ms	18×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	5×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (5.0ms)

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: 15.5b

Counts

2 → 2

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))
6.1b	(- (+ (/ (/ 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))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
2.0ms	(/ wj (+ wj 1))
11.0ms	(/ (/ x (+ wj 1)) (exp wj))
14.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify80.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	718	1538
1	3300	1481
2	5001	1479

prune260.0ms

Filtered

138 candidates to 188 candidates (-36.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.3b

Counts

190 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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)))
4.0ms	(* 2 (* wj x))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
3.0ms	(* 2 (* wj x))

simplify107.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	162	194
1	645	176
2	3837	174
3	5001	174

prune57.0ms

Filtered

22 candidates to 38 candidates (-72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.3b

Counts

43 → 6

localize13.0ms

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))))

rewrite37.0ms

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:

16.0ms	(* (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))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
38.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
40.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
38.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	331	1613
1	1186	1520
2	5001	1414

prune350.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	97	8	105

Merged error: 0.3b

Counts

105 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.6b	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.6b	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.9b	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
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 → 72

Calls

4 calls:

7.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
7.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
7.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
11.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
38.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
40.0ms	(cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
36.0ms	(pow (cbrt (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))) 4)

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	417	1295
1	1354	1227
2	5002	1184

prune409.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0.3b

Counts

92 → 8

regimes213.0ms

Accuracy

63.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.1b

bsearch13.0ms

Steps

Iters	Range		Point
5	3.3338709830465335e-09	1.1356478858019517e-08	8.327848517469272e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.834229%

Results

871.0ms	3836×	body	5120	exit
245.0ms	6158×	body	80	valid
138.0ms	3920×	body	80	overflowed
94.0ms	812×	body	320	valid
85.0ms	464×	body	640	valid
43.0ms	566×	body	160	valid
4.0ms	78×	body	80	invalid

Details

sample2.1s

simplify44.0ms

prune9.0ms

localize9.0ms

rewrite56.0ms

series33.0ms

simplify80.0ms

prune260.0ms

localize7.0ms

rewrite12.0ms

series10.0ms

simplify107.0ms

prune57.0ms

localize13.0ms

rewrite37.0ms

series165.0ms

simplify49.0ms

prune350.0ms

localize18.0ms

rewrite34.0ms

series154.0ms

simplify50.0ms

prune409.0ms

regimes213.0ms

bsearch13.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling