Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

499×

body

valid

simplify62.0ms

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 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
11×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
6×	`prod-diff`
5×	`distribute-neg-in` `exp-sum`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`fma-neg` `rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `neg-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* x x))
5.0ms	(exp (- (- 1.0 (* x x))))

series63.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 1.0 (* x x))
27.0ms	(exp (- (- 1.0 (* x x))))

simplify85.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	196	276
1	618	244
2	2764	217
3	5001	205

prune109.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(pow E (- (- 1.0 (* x x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow-unpow`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-diff`
5×	`unpow-prod-up` `distribute-neg-in`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`pow1` `add-exp-log` `unpow-prod-down` `fma-neg` `difference-of-squares`
2×	`expm1-log1p-u` `sub-neg` `pow-exp` `add-cbrt-cube` `log1p-expm1-u`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `e-exp-1` `flip3--` `pow-pow` `diff-log` `flip--` `pow-sub` `sqr-pow`

Counts

2 → 57

Calls

2 calls:

3.0ms	(- 1.0 (* x x))
5.0ms	(pow E (- (- 1.0 (* x x))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 1.0 (* x x))
35.0ms	(pow E (- (- 1.0 (* x x))))

simplify123.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	268	322
1	959	295
2	4130	257
3	5001	254

prune130.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (- 1.0 (* x x)))
0.0b	(pow E (- (log (exp (- 1.0 (* x x))))))
0.0b	(log (exp (- 1.0 (* x x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`pow-unpow`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`log-prod` `exp-prod`
15×	`exp-sum` `log-pow`
12×	`prod-diff`
9×	`add-log-exp`
8×	`pow1` `unpow-prod-up` `distribute-lft-neg-in` `distribute-neg-in` `distribute-rgt-neg-in`
5×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `fma-neg`
2×	`exp-diff` `diff-log` `pow-exp` `rem-exp-log`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `log-div` `e-exp-1` `flip3--` `pow-pow` `rem-log-exp` `flip--` `pow-sub` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- 1.0 (* x x))
4.0ms	(exp (- 1.0 (* x x)))
7.0ms	(pow E (- (log (exp (- 1.0 (* x x))))))
4.0ms	(log (exp (- 1.0 (* x x))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 1.0 (* x x))
20.0ms	(exp (- 1.0 (* x x)))
41.0ms	(pow E (- (log (exp (- 1.0 (* x x))))))
38.0ms	(log (exp (- 1.0 (* x x))))

simplify41.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	383	681
1	1260	619
2	5002	535

prune263.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (pow x 2))
0.0b	(exp (- (cbrt (pow (- 1.0 (pow x 2)) 3))))
0.0b	(cbrt (pow (- 1.0 (pow x 2)) 3))
0.0b	(pow (- 1.0 (pow x 2)) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
66×	`cbrt-prod`
54×	`exp-prod`
52×	`*-un-lft-identity`
50×	`unpow-prod-down`
36×	`difference-of-squares`
34×	`add-cube-cbrt`
32×	`cube-prod`
25×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`prod-diff`
16×	`sqr-pow`
12×	`unpow2`
9×	`distribute-lft-out--`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cbrt-div` `rem-exp-log`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `neg-mul-1` `sub-neg` `pow-pow` `exp-diff` `pow1/3` `diff-log` `neg-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 185

Calls

4 calls:

6.0ms	(- 1.0 (pow x 2))
12.0ms	(exp (- (cbrt (pow (- 1.0 (pow x 2)) 3))))
7.0ms	(cbrt (pow (- 1.0 (pow x 2)) 3))
7.0ms	(pow (- 1.0 (pow x 2)) 3)

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- 1.0 (pow x 2))
27.0ms	(exp (- (cbrt (pow (- 1.0 (pow x 2)) 3))))
36.0ms	(cbrt (pow (- 1.0 (pow x 2)) 3))
60.0ms	(pow (- 1.0 (pow x 2)) 3)

simplify61.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	535	1234
1	1854	958
2	5001	938

prune322.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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	11	6
1	13	6
2	13	6

end0.0ms

sample539.0ms

Algorithm

intervals

Results

353.0ms

16171×

body

valid