Details

sample65.0ms

Algorithm

intervals

Results

31.0ms	111×	body	1280	valid
13.0ms	82×	body	640	valid
6.0ms	278×	body	80	valid
4.0ms	36×	body	320	valid
1.0ms	22×	body	160	valid

simplify212.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 58.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) (exp (- x)))

rewrite5.0ms

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 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (exp x) (exp (- x)))

simplify582.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune49.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series86.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify182.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	209
1	871	193
2	4636	193
3	5001	193

prune130.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Merged error: 0.0b

Counts

64 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (exp x) (exp (- x))))
0.0b	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
5.5b	(- (exp x) (exp (- x)))
5.5b	(- (exp x) (exp (- x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
35×	`sqrt-prod`
33×	`*-un-lft-identity`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
12×	`swap-sqr`
9×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l` `add-log-exp`
7×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

5.0ms	(sqrt (- (exp x) (exp (- x))))
15.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
5.0ms	(- (exp x) (exp (- x)))
5.0ms	(- (exp x) (exp (- x)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (- (exp x) (exp (- x))))
39.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
35.0ms	(- (exp x) (exp (- x)))
39.0ms	(- (exp x) (exp (- x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	230	1007
1	816	916
2	5001	886

prune213.0ms

Filtered

122 candidates to 67 candidates (54.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	122	2	124

Merged error: 0b

Counts

124 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (+ (exp x) (exp (- x))))
5.5b	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
20×	`times-frac`
18×	`distribute-lft-out`
13×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-rgt-neg-in` `add-log-exp`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`flip3-+` `div-sub` `flip-+`
2×	`pow1` `neg-sub0` `associate-+r-` `unsub-neg` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

2 → 65

Calls

2 calls:

24.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (+ (exp x) (exp (- x))))
19.0ms	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))

series136.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (+ (exp x) (exp (- x))))
50.0ms	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	296	1143
1	1189	975
2	5002	928

prune147.0ms

Filtered

71 candidates to 43 candidates (60.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

regimes12.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

941.0ms	3408×	body	1280	valid
394.0ms	2421×	body	640	valid
177.0ms	7852×	body	80	valid
125.0ms	1226×	body	320	valid
43.0ms	685×	body	160	valid