Details

sample8.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+ x (/ 1.0 3.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ 1.0 3.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	77	55
1	201	50
2	475	50
3	1282	50
4	3893	50
5	5002	50

prune27.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(+ x (/ 1.0 3.0))
0.2b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
26×	`sqrt-prod`
23×	`add-sqr-sqrt`
18×	`pow1`
12×	`sqrt-div`
11×	`add-cube-cbrt` `swap-sqr`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l` `add-log-exp`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 86

Calls

3 calls:

6.0ms	(+ x (/ 1.0 3.0))
6.0ms	(+ x (/ 1.0 3.0))
15.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ x (/ 1.0 3.0))
16.0ms	(+ x (/ 1.0 3.0))
21.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify164.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	170	460
1	639	415
2	3748	401
3	5001	388

prune122.0ms

Filtered

95 candidates to 48 candidates (50.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
0.2b	(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.2b	(cbrt (sqrt (+ x (/ 1.0 3.0))))
1.1b	(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down` `*-un-lft-identity`
28×	`sqrt-prod`
19×	`add-cube-cbrt`
15×	`unswap-sqr`
14×	`associate-l`
10×	`add-exp-log` `associate-r`
6×	`pow1` `cbrt-div` `sqrt-div`
5×	`add-cbrt-cube` `distribute-lft-out` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `prod-exp` `flip-+`
2×	`pow-to-exp` `pow-pow` `associate-*r/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

18.0ms	(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
6.0ms	(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms	(cbrt (sqrt (+ x (/ 1.0 3.0))))
7.0ms	(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5)

series357.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
85.0ms	(cbrt (sqrt (+ x (/ 1.0 3.0))))
85.0ms	(cbrt (sqrt (+ x (/ 1.0 3.0))))
164.0ms	(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5)

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	448	1359
1	1598	1287
2	5001	1243

prune474.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0.0b

Counts

129 → 3

regimes23.0ms

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	2
1	6	2

end0.0ms

sample203.0ms

Algorithm

intervals

Results

111.0ms

8000×

body

valid