Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	86×	body	1280	valid
7.0ms	67×	body	10240	exit
6.0ms	51×	body	640	valid
2.0ms	86×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Filtered

1 candidates to 0 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: 43.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.2b	(/ (exp x) (- (exp x) 1.0))
2.4b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune109.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	130	119
1	448	110
2	2305	109
3	5001	109

prune52.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
2.5b	(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms	(/ 1.0 (exp x))
7.0ms	(- 1 (/ 1.0 (exp x)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
40.0ms	(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5001	621

prune130.0ms

Filtered

106 candidates to 61 candidates (57.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(/ (exp x) (log (exp (- (exp x) 1.0))))
2.4b	(log (exp (- (exp x) 1.0)))
2.4b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/r*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`associate-/l*`
2×	`sub-neg` `exp-sum`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 85

Calls

3 calls:

8.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
5.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series56.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
15.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	232	668
1	632	601
2	2395	579
3	5002	575

prune143.0ms

Filtered

94 candidates to 63 candidates (67.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

regimes68.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	33
1	32	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

391.0ms	2282×	body	1280	valid
285.0ms	2561×	body	10240	exit
180.0ms	1659×	body	640	valid
60.0ms	2888×	body	80	valid
56.0ms	810×	body	320	valid
16.0ms	363×	body	160	valid

Details

sample39.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series46.0ms

simplify70.0ms

prune109.0ms

localize9.0ms

rewrite10.0ms

series54.0ms

simplify68.0ms

prune52.0ms

localize6.0ms

rewrite23.0ms

series106.0ms

simplify39.0ms

prune130.0ms

localize10.0ms

rewrite20.0ms

series56.0ms

simplify75.0ms

prune143.0ms

regimes68.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.1s

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