Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample32.0ms

Algorithm

intervals

Results

14.0ms	67×	body	1280	valid
7.0ms	56×	body	640	valid
2.0ms	94×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

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: 39.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.7b	(- (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 → 51

Calls

2 calls:

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

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4909	534
1	4909	534

prune76.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 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)

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5037	298

prune48.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 2)
0.0b	(pow (exp x) 3)
0.0b	(* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
3.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`difference-of-squares`
15×	`cube-prod`
13×	`add-cube-cbrt`
10×	`sqr-pow`
8×	`pow1` `pow-pow`
7×	`add-cbrt-cube`
6×	`add-exp-log` `pow-unpow` `exp-prod` `add-log-exp`
5×	`distribute-lft-out--`
3×	`associate-r` `associate-l`
2×	`pow-to-exp` `associate-*r/` `pow-exp`
1×	`difference-cubes` `distribute-rgt-in` `cube-mult` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `unpow3` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unpow2` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

3.0ms	(pow (exp x) 2)
5.0ms	(pow (exp x) 3)
7.0ms	(* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
12.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp x) 2)
5.0ms	(pow (exp x) 3)
11.0ms	(* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
6.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4926	1102
1	4926	1102

prune153.0ms

Filtered

68 candidates to 114 candidates (-67.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

regimes30.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch14.0ms

Steps

Iters	Range		Point
8	-0.2312192055204226	-5.3172785882191195e-06	-0.0001899302664824502

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	35
1	42	35

end0.0ms

sample925.0ms

Algorithm

intervals

Results

445.0ms	2287×	body	1280	valid
210.0ms	1650×	body	640	valid
70.0ms	824×	body	320	valid
70.0ms	2819×	body	80	valid
23.0ms	420×	body	160	valid

Details

analyze4.0ms

sample32.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series7.0ms

simplify44.0ms

prune76.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify41.0ms

prune48.0ms

localize13.0ms

rewrite30.0ms

series24.0ms

simplify59.0ms

prune153.0ms

regimes30.0ms

bsearch14.0ms

simplify1.0ms

end0.0ms

sample925.0ms

Profiling