Details

sample63.0ms

Algorithm

intervals

Results

30.0ms	113×	body	1280	valid
12.0ms	79×	body	640	valid
6.0ms	253×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify218.0ms

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: 58.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify586.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

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

prune51.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series147.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
51.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346

prune171.0ms

Filtered

78 candidates to 49 candidates (62.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) 3)
4.6b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`unpow-prod-down`
19×	`pow-pow`
18×	`cube-prod`
17×	`add-cube-cbrt`
16×	`exp-prod` `difference-of-squares`
11×	`sqr-pow`
9×	`pow-unpow`
7×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out--`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `pow-exp`
2×	`cube-div` `cube-mult` `unpow3` `rem-cube-cbrt`
1×	`difference-cubes` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

3.0ms	(pow (exp x) -2)
5.0ms	(pow (exp (- x)) 3)
4.0ms	(pow (exp x) 3)
16.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series165.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (exp x) -2)
27.0ms	(pow (exp (- x)) 3)
24.0ms	(pow (exp x) 3)
93.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	380	681
1	1642	652
2	5003	604

prune317.0ms

Filtered

127 candidates to 74 candidates (58.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x 3))
0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
4.9b	(- (exp (* x 3)) (pow (exp (- x)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`exp-prod` `pow-pow` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`unpow-prod-down`
6×	`pow1` `pow-unpow`
5×	`add-cbrt-cube`
4×	`add-exp-log` `cube-prod` `difference-of-squares`
3×	`difference-cubes` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqr-pow`
2×	`cube-div` `pow-to-exp` `exp-lft-cube` `exp-to-pow` `pow-exp`
1×	`neg-sub0` `exp-neg` `cube-mult` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `unpow3` `flip--` `rem-exp-log` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

2.0ms	(exp (* x 3))
4.0ms	(pow (exp x) -2)
5.0ms	(pow (exp (- x)) 3)
8.0ms	(- (exp (* x 3)) (pow (exp (- x)) 3))

series125.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(exp (* x 3))
18.0ms	(pow (exp x) -2)
27.0ms	(pow (exp (- x)) 3)
73.0ms	(- (exp (* x 3)) (pow (exp (- x)) 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	336	474
1	1439	426
2	5001	410

prune275.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

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

938.0ms	3446×	body	1280	valid
381.0ms	2424×	body	640	valid
185.0ms	8279×	body	80	valid
119.0ms	1218×	body	320	valid
43.0ms	643×	body	160	valid