Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

515×

body

valid

simplify58.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))))

series66.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- 1.0 (* x x))
28.0ms	(exp (- (- 1.0 (* x x))))

simplify84.0ms

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

prune79.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
4.0ms	(pow E (- (- 1.0 (* x x))))

series74.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 1.0 (* x x))
37.0ms	(pow E (- (- 1.0 (* x x))))

simplify146.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (138.0ms)

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

prune90.0ms

Filtered

63 candidates to 47 candidates (74.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Merged error: 0.0b

Counts

66 → 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

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:

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

series246.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(exp (- (+ (sqrt 1.0) x)))
216.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

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

prune129.0ms

Filtered

89 candidates to 53 candidates (59.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	90	2	92

Merged error: 0b

Counts

92 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

216×	`sqrt-prod`
153×	`add-sqr-sqrt`
136×	`unpow-prod-up`
121×	`*-un-lft-identity`
120×	`prod-diff`
105×	`add-cube-cbrt`
41×	`swap-sqr`
36×	`exp-prod`
32×	`unpow-prod-down`
31×	`associate-r` `associate-l`
26×	`pow-pow`
16×	`unswap-sqr`
14×	`sqr-pow`
13×	`pow1`
12×	`distribute-lft-neg-in` `pow-unpow` `distribute-rgt-neg-in`
8×	`sub-neg` `add-log-exp`
7×	`distribute-neg-in` `exp-sum`
6×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `distribute-lft-out` `pow-sub`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `difference-of-squares`
3×	`neg-mul-1` `pow-prod-down` `pow-sqr` `pow-prod-up` `rem-exp-log`
2×	`pow-to-exp` `neg-log` `pow-exp` `distribute-lft-out--`
1×	`pow2` `neg-sub0` `exp-neg` `frac-times` `pow-plus` `exp-diff` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 286

Calls

4 calls:

6.0ms	(exp (- (+ (sqrt 1.0) x)))
35.0ms	(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))))
12.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
13.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series686.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(exp (- (+ (sqrt 1.0) x)))
221.0ms	(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))))
218.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
216.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify100.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	564	4470
1	2331	3702
2	5001	3683

prune566.0ms

Filtered

298 candidates to 160 candidates (53.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	298	2	300

Merged error: 0b

Counts

300 → 2

regimes50.0ms

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

sample617.0ms

Algorithm

intervals

Results

428.0ms

16032×

body

valid

Details

sample22.0ms

simplify58.0ms

prune2.0ms

localize6.0ms

rewrite9.0ms

series66.0ms

simplify84.0ms

prune79.0ms

localize6.0ms

rewrite11.0ms

series74.0ms

simplify146.0ms

prune90.0ms

localize8.0ms

rewrite20.0ms

series246.0ms

simplify43.0ms

prune129.0ms

localize13.0ms

rewrite85.0ms

series686.0ms

simplify100.0ms

prune566.0ms

regimes50.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample617.0ms

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