Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

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	(- x (/ 1.0 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

6.0ms

(- x (/ 1.0 3.0))

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(- x (/ 1.0 3.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	81	77
1	178	72
2	428	72
3	1204	72
4	4291	72
5	5001	72

prune24.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(exp (- x (/ 1.0 3.0)))
0.3b	(log (exp (- x (/ 1.0 3.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
12×	`exp-prod` `*-un-lft-identity`
8×	`add-log-exp`
7×	`log-pow`
6×	`add-cube-cbrt` `difference-of-squares`
5×	`log-prod`
4×	`pow1` `exp-sum`
3×	`add-exp-log` `sub-neg` `times-frac` `add-cbrt-cube` `distribute-lft-out--`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 54

Calls

3 calls:

7.0ms	(- x (/ 1.0 3.0))
7.0ms	(exp (- x (/ 1.0 3.0)))
11.0ms	(log (exp (- x (/ 1.0 3.0))))

series61.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- x (/ 1.0 3.0))
16.0ms	(exp (- x (/ 1.0 3.0)))
23.0ms	(log (exp (- x (/ 1.0 3.0))))

simplify137.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	154	251
1	411	228
2	1098	225
3	4428	225
4	5001	225

prune91.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- x (/ 1.0 3.0)))
0.0b	(exp (- x (/ 1.0 3.0)))
1.1b	(log (sqrt (exp (- x (/ 1.0 3.0)))))
1.1b	(log (sqrt (exp (- x (/ 1.0 3.0)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`exp-prod`
20×	`*-un-lft-identity`
18×	`log-pow`
16×	`log-prod`
14×	`sqrt-pow1`
12×	`add-cube-cbrt`
10×	`sqrt-prod` `add-log-exp`
8×	`pow1` `exp-sum` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `exp-diff` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out--`
2×	`log-div` `pow1/2` `sqrt-div` `diff-log` `rem-log-exp`

Counts

4 → 88

Calls

4 calls:

7.0ms	(exp (- x (/ 1.0 3.0)))
7.0ms	(exp (- x (/ 1.0 3.0)))
9.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))
9.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

15.0ms	(exp (- x (/ 1.0 3.0)))
16.0ms	(exp (- x (/ 1.0 3.0)))
789.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))
777.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	126	564
1	229	514
2	663	508
3	2822	504
4	5001	504

prune212.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 0b

Counts

104 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(- x (/ 1.0 3.0))
0.1b	(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
34×	`sqrt-prod`
29×	`*-un-lft-identity`
18×	`pow1`
13×	`swap-sqr`
12×	`sqrt-div` `difference-of-squares`
11×	`add-cube-cbrt`
9×	`associate-r` `associate-l`
8×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `distribute-lft-out--`
7×	`add-log-exp`
6×	`times-frac`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 98

Calls

3 calls:

6.0ms	(- x (/ 1.0 3.0))
6.0ms	(- x (/ 1.0 3.0))
18.0ms	(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

series77.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- x (/ 1.0 3.0))
26.0ms	(- x (/ 1.0 3.0))
29.0ms	(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

simplify36.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	219	569
1	796	521
2	5001	506

prune132.0ms

Filtered

107 candidates to 58 candidates (54.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Merged error: 0b

Counts

111 → 4

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	5	2

end0.0ms

sample213.0ms

Algorithm

intervals

Results

129.0ms

8000×

body

valid