Details

analyze349.0ms

Algorithm: search

sample30.0ms

Algorithm

intervals

Results

12.0ms	66×	body	1280	valid
7.0ms	55×	body	640	valid
2.0ms	96×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	16×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 40.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
4.2b	(- (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:

6.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2174	354
3	5003	354

prune86.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

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

localize5.0ms

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)

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 1/12 x) (/ 1 x))
2.0ms	(* 1/12 x)

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	130	119
1	448	109
2	2305	108
3	5001	108

prune46.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.2b	(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

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:

4.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(- 1 (/ 1.0 (exp x)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
10.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	310	722
1	1324	620
2	5002	618

prune91.0ms

Filtered

60 candidates to 106 candidates (-76.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ (exp x) (log (exp (- (exp x) 1.0))))
4.2b	(log (exp (- (exp x) 1.0)))
4.2b	(- (exp x) 1.0)

rewrite19.0ms

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:

7.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
5.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series11.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
2.0ms	(log (exp (- (exp x) 1.0)))
2.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (61.0ms)

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

prune94.0ms

Filtered

63 candidates to 94 candidates (-49.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

regimes103.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	20
1	26	20

end0.0ms

analyze344.0ms

Algorithm: search

sample892.0ms

Algorithm

intervals

Results

404.0ms	2231×	body	1280	valid
207.0ms	1685×	body	640	valid
70.0ms	2882×	body	80	valid
63.0ms	783×	body	320	valid
22.0ms	419×	body	160	valid
0.0ms	2×	body	1280	invalid

Details

analyze349.0ms

sample30.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series9.0ms

simplify67.0ms

prune86.0ms

localize5.0ms

rewrite10.0ms

series7.0ms

simplify66.0ms

prune46.0ms

localize5.0ms

rewrite22.0ms

series20.0ms

simplify39.0ms

prune91.0ms

localize7.0ms

rewrite19.0ms

series11.0ms

simplify71.0ms

prune94.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze344.0ms

sample892.0ms

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