Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample38.0ms

Algorithm

intervals

Results

18.0ms	124×	body	1280	valid
7.0ms	69×	body	640	valid
3.0ms	256×	pre	80	true
2.0ms	34×	body	320	valid
1.0ms	22×	body	160	valid
0.0ms	7×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	4
1	68	4

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: 57.7b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4883	115
1	4883	115

prune42.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

6.0ms	(* x (* x (+ 1/2 (* x 1/6))))
5.0ms	(* x (+ 1/2 (* x 1/6)))
4.0ms	(* x 1/6)

series16.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4918	560
1	4918	560

prune76.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 2)
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
0.1b	(pow (exp x) 3)
5.9b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
66×	`unpow-prod-down`
63×	`cube-prod`
42×	`sqr-pow`
41×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`pow-pow`
7×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `pow-unpow` `exp-prod` `add-log-exp`
5×	`difference-cubes`
3×	`associate-/r*`
2×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `unpow3` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unpow2` `rem-cube-cbrt`

Counts

4 → 200

Calls

4 calls:

3.0ms	(pow (exp x) 2)
22.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
3.0ms	(pow (exp x) 3)
11.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series33.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp x) 2)
21.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
4.0ms	(pow (exp x) 3)
6.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5165	4891

prune318.0ms

Filtered

111 candidates to 212 candidates (-91.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	212	4	216

Merged error: 0.0b

Counts

216 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(pow (exp x) 2)
0.0b	(/ (- (exp (* x 3)) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
6.1b	(- (exp (* x 3)) (pow 1.0 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
33×	`times-frac`
23×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`difference-cubes`
13×	`add-log-exp`
11×	`associate-/l*`
8×	`unpow-prod-down` `exp-prod`
6×	`add-exp-log` `add-cbrt-cube` `sqr-pow`
5×	`pow1` `exp-lft-cube` `exp-to-pow` `cube-prod` `distribute-lft-out--`
4×	`pow-pow`
3×	`pow-unpow` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `unpow2`

Counts

4 → 116

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
3.0ms	(pow (exp x) 2)
12.0ms	(/ (- (exp (* x 3)) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
6.0ms	(- (exp (* x 3)) (pow 1.0 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (exp x) 1.0)
3.0ms	(pow (exp x) 2)
20.0ms	(/ (- (exp (* x 3)) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
3.0ms	(- (exp (* x 3)) (pow 1.0 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4956	2621
1	4956	2621

prune246.0ms

Filtered

91 candidates to 128 candidates (-40.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

regimes68.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

544.0ms	3459×	body	1280	valid
241.0ms	2452×	body	640	valid
93.0ms	8000×	pre	80	true
77.0ms	1246×	body	320	valid
29.0ms	660×	body	160	valid
4.0ms	183×	body	80	valid

Details

analyze3.0ms

sample38.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify64.0ms

prune42.0ms

localize6.0ms

rewrite17.0ms

series16.0ms

simplify47.0ms

prune76.0ms

localize12.0ms

rewrite48.0ms

series33.0ms

simplify65.0ms

prune318.0ms

localize13.0ms

rewrite30.0ms

series27.0ms

simplify53.0ms

prune246.0ms

regimes68.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling