Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

509×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	49	4
3	96	4
4	253	4
5	821	4
6	3115	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `distribute-neg-in` `*-un-lft-identity` `exp-sum` `add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`prod-diff` `rem-exp-log`
2×	`neg-log` `difference-of-squares`
1×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `neg-mul-1` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u`

Counts

1 → 31

Calls

1 calls:

11.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	140	176
1	392	156
2	1701	140
3	5001	133

prune66.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (exp 1.0) (exp (* x x))))
0.0b	(exp (* x x))
0.0b	(/ (exp 1.0) (exp (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-cbrt-cube`
8×	`add-exp-log` `div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`exp-prod` `exp-to-pow` `pow-flip` `associate-/r/` `rem-exp-log` `inv-pow`

Counts

3 → 119

Calls

3 calls:

7.0ms	(/ 1 (/ (exp 1.0) (exp (* x x))))
1.0ms	(exp (* x x))
4.0ms	(/ (exp 1.0) (exp (* x x)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ 1 (/ (exp 1.0) (exp (* x x))))
11.0ms	(exp (* x x))
68.0ms	(/ (exp 1.0) (exp (* x x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	380	1083
1	1628	948
2	5001	868

prune341.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ 1 (sqrt (exp 1.0))) (/ (sqrt (exp 1.0)) (exp (* x x))))
0.0b	(exp (* x x))
0.0b	(/ (sqrt (exp 1.0)) (exp (* x x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

1330×	`times-frac`
616×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
426×	`sqrt-prod`
48×	`div-inv`
28×	`associate-/l*`
25×	`associate-/r*`
22×	`add-exp-log`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`exp-prod` `exp-to-pow` `associate-/r/` `rem-exp-log` `associate-/l/`

Counts

3 → 607

Calls

3 calls:

27.0ms	(/ (/ 1 (sqrt (exp 1.0))) (/ (sqrt (exp 1.0)) (exp (* x x))))
1.0ms	(exp (* x x))
5.0ms	(/ (sqrt (exp 1.0)) (exp (* x x)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (/ 1 (sqrt (exp 1.0))) (/ (sqrt (exp 1.0)) (exp (* x x))))
10.0ms	(exp (* x x))
96.0ms	(/ (sqrt (exp 1.0)) (exp (* x x)))

simplify128.0ms

Algorithm

egg-herbie

Counts

616 → 616

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2222	12344
1	5001	11318

prune788.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (- 1.0 (* x x))))
1.0b	(log1p (exp (- (- 1.0 (* x x)))))
1.0b	(expm1 (log1p (exp (- (- 1.0 (* x x))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`distribute-neg-in` `exp-sum`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in`
3×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log`
2×	`neg-log` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `log1p-udef` `expm1-log1p` `exp-diff` `diff-log` `log1p-expm1` `expm1-udef`

Counts

3 → 53

Calls

3 calls:

11.0ms	(exp (- (- 1.0 (* x x))))
0.0ms	(log1p (exp (- (- 1.0 (* x x)))))
0.0ms	(expm1 (log1p (exp (- (- 1.0 (* x x))))))

series386.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(exp (- (- 1.0 (* x x))))
148.0ms	(log1p (exp (- (- 1.0 (* x x)))))
214.0ms	(expm1 (log1p (exp (- (- 1.0 (* x x))))))

simplify103.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	205	377
1	618	328
2	2998	302
3	5001	294

prune135.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample536.0ms

Algorithm

intervals

Results

352.0ms

16015×

body

valid