Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	57×	body	1280	valid
8.0ms	61×	body	640	valid
4.0ms	185×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	16×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

prune2.0ms

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: 39.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.7b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

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

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (- (exp x) 1.0) x)
2.0ms	(- (exp x) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4957	536
1	4957	536

prune89.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.1b

Counts

59 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 40

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4950	298
1	4950	298

prune59.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.1b

Counts

51 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
5.1b	(- (/ (exp x) x) (/ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

4.0ms	(/ (exp x) x)
14.0ms	(- (/ (exp x) x) (/ 1.0 x))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (exp x) x)
5.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify33.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5359	499

prune66.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	56	5	61

Merged error: 0.1b

Counts

61 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp x) (/ 1 x))
5.1b	(- (* (exp x) (/ 1 x)) (/ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`associate-r/` `associate-l*` `un-div-inv` `unswap-sqr`
2×	`div-exp` `frac-sub` `cbrt-unprod` `div-inv` `sub-div`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `distribute-rgt-out--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `flip--`

Counts

2 → 53

Calls

2 calls:

9.0ms	(* (exp x) (/ 1 x))
9.0ms	(- (* (exp x) (/ 1 x)) (/ 1.0 x))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (exp x) (/ 1 x))
5.0ms	(- (* (exp x) (/ 1 x)) (/ 1.0 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	410
1	4886	410

prune52.0ms

Filtered

38 candidates to 59 candidates (-55.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0.1b

Counts

64 → 5

regimes43.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.1b

bsearch13.0ms

Steps

Iters	Range		Point
9	-0.0001616040529746431	-1.1951251334293225e-11	-9.525718599919936e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	23
1	23	23

end0.0ms

sample1.0s

Algorithm

intervals

Results

395.0ms	2294×	body	1280	valid
203.0ms	1658×	body	640	valid
124.0ms	5384×	body	80	valid
65.0ms	810×	body	320	valid
23.0ms	431×	body	160	valid

Details

sample34.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite13.0ms

series7.0ms

simplify40.0ms

prune89.0ms

localize6.0ms

rewrite11.0ms

series9.0ms

simplify47.0ms

prune59.0ms

localize5.0ms

rewrite20.0ms

series9.0ms

simplify33.0ms

prune66.0ms

localize9.0ms

rewrite20.0ms

series9.0ms

simplify68.0ms

prune52.0ms

regimes43.0ms

bsearch13.0ms

simplify1.0ms

end0.0ms

sample1.0s

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