Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

486×

body

valid

simplify59.0ms

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 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

prune46.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

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)))

rewrite21.0ms

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)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
32.0ms	(exp (- (+ (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

prune127.0ms

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	0	1	1
Total	89	2	91

Merged error: 0.0b

Counts

91 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
80×	`unpow-prod-up`
72×	`prod-diff`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
44×	`sqrt-prod`
28×	`pow-pow`
27×	`associate-r` `associate-l`
26×	`exp-prod`
18×	`unpow-prod-down`
12×	`pow-unpow`
10×	`sqr-pow`
9×	`add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `unswap-sqr`
8×	`pow-to-exp` `pow-exp`
6×	`pow-sub`
5×	`pow1` `add-cbrt-cube`
4×	`sub-neg` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`neg-mul-1` `distribute-lft-out--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `cbrt-unprod`

Counts

3 → 199

Calls

3 calls:

8.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
25.0ms	(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
10.0ms	(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

series430.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
299.0ms	(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
88.0ms	(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

simplify78.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	641	2728
1	2561	2238
2	5001	2202

prune413.0ms

Filtered

208 candidates to 131 candidates (63.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	208	2	210

Merged error: 0b

Counts

210 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
92×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
80×	`exp-sum`
55×	`sqrt-prod`
43×	`associate-l`
40×	`unpow-prod-up` `distribute-rgt-in` `distribute-lft-in`
27×	`associate-r`
12×	`exp-prod`
11×	`pow-pow`
8×	`add-log-exp`
7×	`unpow-prod-down`
6×	`sub-neg` `pow-unpow`
5×	`add-cbrt-cube`
4×	`pow1` `add-exp-log` `exp-to-pow`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `exp-neg` `expm1-log1p-u` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `log1p-expm1-u` `pow-sub` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `neg-log` `pow-exp` `difference-of-squares`
1×	`frac-times` `neg-mul-1` `associate-r/` `associate-l/` `*-commutative` `cbrt-unprod` `rem-exp-log` `distribute-lft-out--`

Counts

3 → 200

Calls

3 calls:

11.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
6.0ms	(exp (* (- (sqrt 1.0)) (- (sqrt 1.0) x)))
31.0ms	(* (exp (* (- (sqrt 1.0)) (- (sqrt 1.0) x))) (pow (exp (- x)) (- (sqrt 1.0) x)))

series395.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(pow (exp (- x)) (- (sqrt 1.0) x))
65.0ms	(exp (* (- (sqrt 1.0)) (- (sqrt 1.0) x)))
290.0ms	(* (exp (* (- (sqrt 1.0)) (- (sqrt 1.0) x))) (pow (exp (- x)) (- (sqrt 1.0) x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	722	3002
1	2511	2348
2	5002	2179

prune365.0ms

Filtered

209 candidates to 117 candidates (56.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	2	211

Merged error: 0b

Counts

211 → 2

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	19	12
2	20	12
3	20	12

end0.0ms

sample506.0ms

Algorithm

intervals

Results

330.0ms

15902×

body

valid