Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

499×

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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(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))))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (57.0ms)

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

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (exp 1.0) (exp (* x x))))
0.0b	(/ (exp 1.0) (exp (* x x)))
0.1b	(exp (* x x))

rewrite17.0ms

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ 1 (/ (exp 1.0) (exp (* x x))))
60.0ms	(/ (exp 1.0) (exp (* x x)))
15.0ms	(exp (* x x))

simplify48.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (37.0ms)

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

prune205.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
51×	`unpow-prod-down`
32×	`associate-/r*`
20×	`div-exp`
17×	`sqr-pow`
14×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1` `pow-to-exp` `pow-exp`
4×	`cbrt-undiv` `rec-exp` `pow-pow` `1-exp`
3×	`expm1-log1p-u` `pow-unpow` `exp-prod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

3 → 201

Calls

3 calls:

5.0ms	(/ (exp 1.0) (pow (exp x) x))
10.0ms	(/ 1 (/ (exp 1.0) (pow (exp x) x)))
2.0ms	(pow (exp x) x)

series356.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (exp 1.0) (pow (exp x) x))
238.0ms	(/ 1 (/ (exp 1.0) (pow (exp x) x)))
32.0ms	(pow (exp x) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	615	1931
1	3078	1719
2	5001	1577

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp 1.0) (sqrt (pow (exp x) x)))
0.0b	(pow (exp x) x)
0.0b	(pow (exp x) x)
0.0b	(/ (sqrt (pow (exp x) x)) (/ (exp 1.0) (sqrt (pow (exp x) x))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

700×	`times-frac`
504×	`sqrt-prod`
358×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
222×	`unpow-prod-down`
74×	`sqr-pow`
44×	`associate-/r*`
13×	`div-inv` `associate-/l*`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow-pow`
6×	`pow1` `pow-unpow` `exp-prod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num`
1×	`associate-/r/`

Counts

4 → 502

Calls

4 calls:

6.0ms	(/ (exp 1.0) (sqrt (pow (exp x) x)))
2.0ms	(pow (exp x) x)
2.0ms	(pow (exp x) x)
21.0ms	(/ (sqrt (pow (exp x) x)) (/ (exp 1.0) (sqrt (pow (exp x) x))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (exp 1.0) (sqrt (pow (exp x) x)))
34.0ms	(pow (exp x) x)
31.0ms	(pow (exp x) x)
97.0ms	(/ (sqrt (pow (exp x) x)) (/ (exp 1.0) (sqrt (pow (exp x) x))))

simplify101.0ms

Algorithm

egg-herbie

Counts

514 → 514

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1302	8961
1	5001	8282

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes19.0ms

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	8	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

808.0ms

15671×

body

valid