Details

sample36.0ms

Algorithm

intervals

Results

14.0ms	71×	body	1280	valid
6.0ms	48×	body	640	valid
4.0ms	184×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	228	6
1	228	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: 37.7b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.9b	(- (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-/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:

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- (exp x) 1.0) x)
3.0ms	(- (exp x) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4909	536
1	4909	536

prune69.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(* x (+ 1/2 (* x 1/6)))
4.0ms	(* x 1/6)

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5037	298

prune51.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
3.3b	(- (/ (exp x) x) (/ 1.0 x))

rewrite19.0ms

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))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4909	499
1	4909	499

prune57.0ms

Filtered

45 candidates to 56 candidates (-24.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp x) (/ 1 x))
3.3b	(- (* (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:

8.0ms	(* (exp x) (/ 1 x))
11.0ms	(- (* (exp x) (/ 1 x)) (/ 1.0 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4936	410
1	4936	410

prune50.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

regimes34.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.1b

bsearch12.0ms

Steps

Iters	Range		Point
8	-0.03637538406068891	-1.1294785154268786e-05	-0.00017991234960850367

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	23
1	39	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

451.0ms	2319×	body	1280	valid
207.0ms	1670×	body	640	valid
123.0ms	5367×	body	80	valid
66.0ms	787×	body	320	valid
22.0ms	422×	body	160	valid

Details

sample36.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series8.0ms

simplify51.0ms

prune69.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify44.0ms

prune51.0ms

localize5.0ms

rewrite19.0ms

series8.0ms

simplify41.0ms

prune57.0ms

localize6.0ms

rewrite20.0ms

series8.0ms

simplify43.0ms

prune50.0ms

regimes34.0ms

bsearch12.0ms

simplify1.0ms

end0.0ms

sample1.1s

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