Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

549×

body

valid

simplify61.0ms

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

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))))

rewrite6.0ms

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:

5.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (54.0ms)

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

prune51.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`unpow-prod-up` `add-cube-cbrt` `distribute-neg-in`
18×	`prod-diff`
16×	`pow-unpow`
11×	`sqrt-prod`
8×	`exp-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down` `difference-of-squares`
3×	`pow1`
2×	`add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sub-neg` `pow-exp` `sum-log` `pow-sub` `sqr-pow`

Counts

2 → 75

Calls

2 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
12.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(exp (+ (sqrt 1.0) x))
167.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	410	888
1	1452	728
2	5001	569

prune117.0ms

Filtered

81 candidates to 47 candidates (58.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
0.0b	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
0.0b	(* (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))) (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

149×	`add-sqr-sqrt`
136×	`unpow-prod-up`
120×	`prod-diff`
112×	`unpow-prod-down`
105×	`*-un-lft-identity`
99×	`add-cube-cbrt`
62×	`sqrt-prod`
48×	`pow-exp`
40×	`swap-sqr`
32×	`associate-r` `associate-l` `sqr-pow`
26×	`add-exp-log`
25×	`prod-exp` `unswap-sqr`
24×	`pow-to-exp`
12×	`pow-unpow`
8×	`sub-neg`
7×	`exp-sum` `add-log-exp`
6×	`add-cbrt-cube` `pow-sub`
4×	`pow1` `expm1-log1p-u` `exp-prod` `log1p-expm1-u` `difference-of-squares`
2×	`pow-pow` `sqrt-pow2` `rem-exp-log` `distribute-lft-out--` `unpow1/2`
1×	`pow2` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 290

Calls

4 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
14.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
11.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
36.0ms	(* (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))) (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (+ (sqrt 1.0) x))
330.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
324.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0)))
396.0ms	(* (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))) (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))))

simplify115.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	731	5005
1	2990	4364
2	5001	4312

prune537.0ms

Filtered

302 candidates to 150 candidates (49.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	302	3	305

Merged error: 0.0b

Counts

305 → 3

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)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`exp-prod`
22×	`add-cube-cbrt`
20×	`unpow-prod-up`
18×	`prod-diff`
13×	`pow-pow`
10×	`sqrt-prod`
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×	`add-exp-log` `expm1-log1p-u` `neg-mul-1` `distribute-neg-in` `exp-sum` `neg-log` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `sub-neg` `exp-diff` `pow-exp` `sum-log` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 83

Calls

2 calls:

12.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
6.0ms	(exp (- (+ (sqrt 1.0) x)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

213.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
35.0ms	(exp (- (+ (sqrt 1.0) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	372	925
1	1306	780
2	5001	776

prune134.0ms

Filtered

89 candidates to 53 candidates (59.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes66.0ms

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	6	4

end0.0ms

sample585.0ms

Algorithm

intervals

Results

405.0ms

15845×

body

valid

Details

sample25.0ms

simplify61.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series23.0ms

simplify58.0ms

prune51.0ms

localize8.0ms

rewrite20.0ms

series193.0ms

simplify44.0ms

prune117.0ms

localize15.0ms

rewrite82.0ms

series1.1s

simplify115.0ms

prune537.0ms

localize8.0ms

rewrite20.0ms

series248.0ms

simplify44.0ms

prune134.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample585.0ms

Profiling