Details

sample110.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.224854%

Guaranteed chance to sample good point: 98.461538%

Results

14.0ms	73×	body	1280	valid
5.0ms	38×	body	640	valid
3.0ms	119×	body	80	valid
1.0ms	19×	body	320	valid
0.0ms	7×	body	160	valid
0.0ms	3×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

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: 24.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.8b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(exp (* a x))
7.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune61.0ms

Filtered

20 candidates to 30 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 6.0b

Counts

31 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(pow (- (exp (* a x)) 1.0) 3)
0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
2.8b	(- (exp (* a x)) 1.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

2.0ms	(exp (* a x))
5.0ms	(pow (- (exp (* a x)) 1.0) 3)
5.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
4.0ms	(- (exp (* a x)) 1.0)

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp (* a x))
13.0ms	(pow (- (exp (* a x)) 1.0) 3)
7.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
7.0ms	(- (exp (* a x)) 1.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	269	550
1	1076	527
2	5001	516

prune136.0ms

Filtered

44 candidates to 92 candidates (-109.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	88	12	100

Merged error: 6.0b

Counts

100 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)
0.1b	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
2.8b	(- (exp (* a x)) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

124×	`cbrt-prod`
63×	`unpow-prod-down` `cube-prod`
47×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`cube-div`
8×	`cbrt-div`
7×	`cube-mult` `unpow3` `sqr-pow`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `pow1/3`
2×	`pow-pow` `rem-cbrt-cube`
1×	`pow-to-exp` `sub-neg` `diff-log` `pow-exp` `rem-cube-cbrt`

Counts

4 → 154

Calls

4 calls:

8.0ms	(pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)
10.0ms	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
7.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
4.0ms	(- (exp (* a x)) 1.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)
7.0ms	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
7.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
7.0ms	(- (exp (* a x)) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	408	1205
1	1214	1145
2	5001	1119

prune165.0ms

Filtered

52 candidates to 166 candidates (-219.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	166	12	178

Merged error: 6.0b

Counts

178 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)) 3))
0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
0.1b	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
2.8b	(- (exp (* a x)) 1.0)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

344×	`cbrt-prod`
139×	`unpow-prod-down` `cube-prod`
67×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
15×	`distribute-lft-out--` `difference-of-squares`
12×	`cube-div` `cbrt-div`
11×	`cube-mult` `unpow3` `sqr-pow`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3` `rem-cbrt-cube`
1×	`sub-neg` `diff-log`

Counts

4 → 207

Calls

4 calls:

19.0ms	(cbrt (pow (cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)) 3))
5.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
10.0ms	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
4.0ms	(- (exp (* a x)) 1.0)

series31.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3)) 3))
7.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
8.0ms	(cbrt (pow (cbrt (pow (- (exp (* a x)) 1.0) 3)) 3))
8.0ms	(- (exp (* a x)) 1.0)

simplify121.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	530	1670
1	1000	1666
2	3715	1658
3	5002	1658

prune132.0ms

Filtered

52 candidates to 219 candidates (-321.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	219	12	231

Merged error: 6.0b

Counts

231 → 12

regimes664.0ms

Accuracy

95.2% (1.0b remaining)

Error of 8.8b against oracle of 7.8b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	37
1	53	37

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.224854%

Guaranteed chance to sample good point: 98.461538%

Results

485.0ms	2666×	body	1280	valid
159.0ms	1318×	body	640	valid
79.0ms	2901×	body	80	valid
59.0ms	737×	body	320	valid
21.0ms	378×	body	160	valid
2.0ms	67×	body	80	invalid

Details

sample110.0ms

simplify59.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series14.0ms

simplify42.0ms

prune61.0ms

localize8.0ms

rewrite18.0ms

series32.0ms

simplify41.0ms

prune136.0ms

localize10.0ms

rewrite36.0ms

series35.0ms

simplify55.0ms

prune165.0ms

localize13.0ms

rewrite55.0ms

series31.0ms

simplify121.0ms

prune132.0ms

regimes664.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling