Details

sample85.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

62.0ms	195×	body	1280	valid
4.0ms	25×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	4×	body	80	valid

simplify136.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	65	5
5	96	5
6	140	5
7	285	5
8	1642	5
9	5001	5

prune3.0ms

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: 29.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.4b	(+ (- (exp x) 2.0) (exp (neg x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (neg x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(- (exp x) 2.0)
7.0ms	(+ (- (exp x) 2.0) (exp (neg x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	209	282
1	694	269
2	3196	260
3	5001	260

prune59.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series14.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	283	367
1	1255	340
2	5001	327

prune117.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
1.1b	(log (exp (* 1/12 (pow x 4))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
5×	`pow1`
4×	`sqr-pow`
3×	`log-prod` `sum-log` `log-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `exp-prod` `exp-to-pow` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
2.0ms	(log (exp (* 1/12 (pow x 4))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (log (exp (* 1/12 (pow x 4))))))
4.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))
4.0ms	(log (exp (* 1/12 (pow x 4))))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	308	461
1	1313	413
2	5002	400

prune161.0ms

Filtered

57 candidates to 90 candidates (-57.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.8b	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
30.5b	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`associate-r`
13×	`add-cube-cbrt`
8×	`unpow-prod-down` `log-prod` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
4×	`log-div` `exp-prod` `exp-sum` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
8.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
8.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))
6.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
9.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	359	683
1	1383	619
2	5001	592

prune177.0ms

Filtered

60 candidates to 95 candidates (-58.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

regimes34.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

1.8s	5687×	body	1280	valid
221.0ms	1223×	body	640	valid
72.0ms	606×	body	320	valid
24.0ms	322×	body	160	valid
7.0ms	162×	body	80	valid

Details

sample85.0ms

simplify136.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series9.0ms

simplify85.0ms

prune59.0ms

localize9.0ms

rewrite21.0ms

series14.0ms

simplify41.0ms

prune117.0ms

localize12.0ms

rewrite22.0ms

series18.0ms

simplify45.0ms

prune161.0ms

localize14.0ms

rewrite28.0ms

series23.0ms

simplify47.0ms

prune177.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling