Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune2.0ms

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:

6.0ms

(+ x (/ 1.0 3.0))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ x (/ 1.0 3.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4905	108
1	4905	108

prune27.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

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

localize6.0ms

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))))

rewrite33.0ms

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))
18.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5121	783

prune89.0ms

Filtered

45 candidates to 95 candidates (-111.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 0b

Counts

99 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.4b	(exp (log (+ x (/ 1.0 3.0))))

rewrite20.0ms

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))))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(log (+ x (/ 1.0 3.0)))
2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(exp (log (+ x (/ 1.0 3.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5261	445

prune64.0ms

Filtered

35 candidates to 54 candidates (-54.3%)

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))))

rewrite23.0ms

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:

7.0ms	(exp (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
9.0ms	(log (exp (+ x (/ 1.0 3.0))))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (+ x (/ 1.0 3.0)))
2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(log (exp (+ x (/ 1.0 3.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4928	343
1	4928	343

prune58.0ms

Filtered

33 candidates to 52 candidates (-57.6%)

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

regimes57.0ms

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	5
1	6	5

end0.0ms

sample204.0ms

Algorithm

intervals

Results

125.0ms

8000×

body

valid

Details

analyze2.0ms

sample8.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series2.0ms

simplify52.0ms

prune27.0ms

localize6.0ms

rewrite33.0ms

series6.0ms

simplify48.0ms

prune89.0ms

localize7.0ms

rewrite20.0ms

series7.0ms

simplify59.0ms

prune64.0ms

localize6.0ms

rewrite23.0ms

series6.0ms

simplify54.0ms

prune58.0ms

regimes57.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample204.0ms

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