Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

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))

rewrite9.0ms

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:

9.0ms

(+ x (/ 1.0 3.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ 1.0 3.0))

simplify110.0ms

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

prune21.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0b

Counts

16 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(sqrt (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
9.0ms	(+ x (/ 1.0 3.0))
15.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ x (/ 1.0 3.0)))
23.0ms	(+ x (/ 1.0 3.0))
17.0ms	(+ x (/ 1.0 3.0))
18.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	224	573
1	883	518
2	5001	502

prune126.0ms

Filtered

114 candidates to 60 candidates (52.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0b

Counts

118 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.2b	(exp (log (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod` `exp-sum`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `rem-log-exp` `sum-log` `rem-exp-log`

Counts

3 → 45

Calls

3 calls:

6.0ms	(log (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
7.0ms	(exp (log (+ x (/ 1.0 3.0))))

series77.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(log (+ x (/ 1.0 3.0)))
19.0ms	(+ x (/ 1.0 3.0))
17.0ms	(exp (log (+ x (/ 1.0 3.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	183	260
1	499	238
2	1548	230
3	5001	221

prune73.0ms

Filtered

54 candidates to 35 candidates (64.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`exp-prod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-pow`
4×	`pow1` `log-prod`
3×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
2×	`exp-sum` `sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `flip-+`

Counts

3 → 43

Calls

3 calls:

6.0ms	(exp (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
7.0ms	(log (exp (+ x (/ 1.0 3.0))))

series47.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(exp (+ x (/ 1.0 3.0)))
18.0ms	(+ x (/ 1.0 3.0))
18.0ms	(log (exp (+ x (/ 1.0 3.0))))

simplify94.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	136	194
1	432	172
2	1093	170
3	3091	170
4	5001	170

prune64.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0b

Counts

56 → 4

regimes28.0ms

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

sample220.0ms

Algorithm

intervals

Results

131.0ms

8000×

body

valid