Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	81×	body	1280	valid
4.0ms	41×	body	640	valid
4.0ms	184×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	15×	body	160	valid

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	1614	3
7	5002	3

prune2.0ms

Filtered

1 candidates to 0 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: 30.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.6b	(- (exp (* a x)) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`pow1` `add-exp-log` `add-cbrt-cube`
1×	`sub-neg` `flip3--` `exp-to-pow` `diff-log` `*-commutative` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

4.0ms	(exp (* a x))
6.0ms	(- (exp (* a x)) 1.0)

series53.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
40.0ms	(- (exp (* a x)) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	150	164
1	437	156
2	1627	154
3	5001	154

prune86.0ms

Filtered

41 candidates to 29 candidates (29.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Merged error: 9.1b

Counts

42 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

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

series213.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (- (exp (* a x)) 1.0))
36.0ms	(- (exp (* a x)) 1.0)
40.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	163	460
1	472	412
2	1800	395
3	5002	391

prune169.0ms

Filtered

69 candidates to 50 candidates (27.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 9.1b

Counts

77 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.7b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
8×	`sqrt-prod`
6×	`difference-of-squares`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div` `distribute-lft-out`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
7.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)
9.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series496.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
40.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)
64.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	260	589
1	854	549
2	3331	536
3	5001	535

prune238.0ms

Filtered

73 candidates to 50 candidates (31.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	73	10	83

Merged error: 9.1b

Counts

83 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.7b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`difference-of-squares`
6×	`sqrt-prod`
5×	`cbrt-prod` `add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt (- (exp (* a x)) 1.0))
7.0ms	(- (exp (* a x)) 1.0)
6.0ms	(- (exp (* a x)) 1.0)
9.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (- (exp (* a x)) 1.0))
36.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)
62.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	225	540
1	701	494
2	2668	478
3	5002	478

prune198.0ms

Filtered

73 candidates to 51 candidates (30.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	72	11	83

Merged error: 9.1b

Counts

83 → 11

regimes387.0ms

Accuracy

96.6% (0.7b remaining)

Error of 9.0b against oracle of 8.2b and baseline of 29.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	48
1	57	48

end0.0ms

sample908.0ms

Algorithm

intervals

Results

418.0ms	2660×	body	1280	valid
134.0ms	1353×	body	640	valid
106.0ms	5452×	body	80	valid
50.0ms	786×	body	320	valid
18.0ms	403×	body	160	valid