Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

486×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	47	4
3	90	4
4	239	4
5	805	4
6	3072	4
7	5003	4

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (- 1.0 (* x x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
6×	`add-sqr-sqrt`
5×	`add-log-exp`
4×	`distribute-lft-neg-in` `add-cube-cbrt` `distribute-rgt-neg-in` `*-un-lft-identity`
3×	`rem-exp-log`
2×	`distribute-neg-in` `exp-sum` `neg-log` `difference-of-squares`
1×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube`

Counts

1 → 26

Calls

1 calls:

5.0ms

(exp (- (- 1.0 (* x x))))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(exp (- (- 1.0 (* x x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	108	131
1	298	119
2	1348	116
3	5001	114

prune40.0ms

Filtered

29 candidates to 21 candidates (72.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0.0b

Counts

30 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
0.0b	(exp (- (+ (sqrt 1.0) x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`exp-prod`
20×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`pow-pow`
10×	`add-cube-cbrt`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`pow-unpow` `add-log-exp`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`pow1` `rem-exp-log`
2×	`unpow-prod-up` `add-exp-log` `neg-mul-1` `distribute-neg-in` `exp-sum` `neg-log` `add-cbrt-cube` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `sub-neg` `exp-diff` `pow-exp` `sum-log` `sqrt-prod` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 61

Calls

2 calls:

13.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
6.0ms	(exp (- (+ (sqrt 1.0) x)))

series243.0ms

Counts

2 → 6

Calls

2 calls:

212.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
31.0ms	(exp (- (+ (sqrt 1.0) x)))

simplify30.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	224	467
1	866	440
2	5001	437

prune110.0ms

Filtered

67 candidates to 46 candidates (68.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	67	2	69

Merged error: 0.0b

Counts

69 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
0.0b	(exp (- (+ (sqrt 1.0) x)))
0.0b	(exp (- (+ (sqrt 1.0) x)))
0.0b	(* (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-prod`
33×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`unpow-prod-down`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`pow-pow`
12×	`add-log-exp`
10×	`add-exp-log` `pow-unpow`
9×	`prod-exp` `unswap-sqr` `sqr-pow`
8×	`associate-r` `associate-l`
7×	`pow-to-exp` `pow-exp`
6×	`add-cbrt-cube` `rem-exp-log` `distribute-lft-out`
5×	`pow1` `distribute-neg-in` `exp-sum`
4×	`neg-sub0` `neg-mul-1` `neg-log`
3×	`pow-neg`
2×	`exp-neg` `exp-diff` `associate-*r/` `sum-log` `pow-sub`
1×	`un-div-inv` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

8.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
6.0ms	(exp (- (+ (sqrt 1.0) x)))
6.0ms	(exp (- (+ (sqrt 1.0) x)))
17.0ms	(* (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
35.0ms	(exp (- (+ (sqrt 1.0) x)))
30.0ms	(exp (- (+ (sqrt 1.0) x)))
682.0ms	(* (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	416	1305
1	1698	1192
2	5002	1140

prune298.0ms

Filtered

148 candidates to 102 candidates (68.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	148	2	150

Merged error: 0b

Counts

150 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
0.0b	(exp (- (+ (sqrt 1.0) x)))
0.0b	(* (pow (pow (exp -1) (+ (sqrt 1.0) x)) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))
0.0b	(pow (exp -1) (+ (sqrt 1.0) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`unpow-prod-down`
32×	`*-un-lft-identity`
27×	`exp-prod`
22×	`add-cube-cbrt`
19×	`pow-exp`
17×	`pow-pow`
16×	`sqr-pow`
15×	`add-exp-log` `prod-exp` `unswap-sqr`
14×	`pow-unpow`
13×	`pow-to-exp`
12×	`associate-l`
11×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`associate-r` `add-log-exp`
6×	`pow1` `add-cbrt-cube`
5×	`distribute-lft-out`
3×	`neg-sub0` `pow-neg` `neg-mul-1` `distribute-neg-in` `exp-sum` `rem-exp-log`
2×	`unpow-prod-up` `associate-*r/` `neg-log` `pow-sub`
1×	`exp-neg` `exp-diff` `sum-log` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

8.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
6.0ms	(exp (- (+ (sqrt 1.0) x)))
14.0ms	(* (pow (pow (exp -1) (+ (sqrt 1.0) x)) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))
9.0ms	(pow (exp -1) (+ (sqrt 1.0) x))

series862.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- x))
30.0ms	(exp (- (+ (sqrt 1.0) x)))
695.0ms	(* (pow (pow (exp -1) (+ (sqrt 1.0) x)) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) (- x)))
44.0ms	(pow (exp -1) (+ (sqrt 1.0) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	559	1658
1	2390	1499
2	5002	1451

prune396.0ms

Filtered

160 candidates to 114 candidates (71.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	2	162

Merged error: 0b

Counts

162 → 2

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	18	13
2	18	13

end0.0ms

sample524.0ms

Algorithm

intervals

Results

339.0ms

15902×

body

valid