Details

analyze937.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.328959%

Guaranteed chance to sample good point: 41.680103%

sample31.0ms

Algorithm

intervals

Results

14.0ms	81×	body	1280	valid
4.0ms	35×	body	640	valid
3.0ms	34×	body	320	valid
2.0ms	89×	body	80	valid
1.0ms	17×	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: 42.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
5.4b	(- (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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

simplify66.0ms

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

prune78.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-l`
9×	`times-frac` `add-cbrt-cube`
6×	`associate-r`
5×	`pow1` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `div-inv`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series16.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify57.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	401	619
1	1835	573
2	5002	571

prune121.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.0b	(/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `times-frac`
15×	`add-cbrt-cube`
14×	`associate-l`
9×	`pow1`
8×	`prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `associate-r/` `associate-/r` `-commutative` `flip-+` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `div-inv` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-exp` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 120

Calls

4 calls:

14.0ms	(* (exp x) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
9.0ms	(/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series18.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (exp x) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
4.0ms	(/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify77.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	534	1014
1	2625	899
2	5001	870

prune167.0ms

Filtered

82 candidates to 132 candidates (-61.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0.0b

Counts

135 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.5b	(- 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))
8.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(- 1 (/ 1.0 (exp x)))

series19.0ms

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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (27.0ms)

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

prune85.0ms

Filtered

60 candidates to 106 candidates (-76.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

regimes112.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

analyze931.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.328959%

Guaranteed chance to sample good point: 41.680103%

sample868.0ms

Algorithm

intervals

Results

395.0ms	2235×	body	1280	valid
201.0ms	1718×	body	640	valid
68.0ms	2849×	body	80	valid
60.0ms	806×	body	320	valid
20.0ms	392×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze937.0ms

sample31.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series11.0ms

simplify66.0ms

prune78.0ms

localize9.0ms

rewrite22.0ms

series16.0ms

simplify57.0ms

prune121.0ms

localize10.0ms

rewrite39.0ms

series18.0ms

simplify77.0ms

prune167.0ms

localize5.0ms

rewrite22.0ms

series19.0ms

simplify38.0ms

prune85.0ms

regimes112.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze931.0ms

sample868.0ms

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