Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

344×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5188	121

prune31.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.1b

Counts

22 → 7

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 3.0))
0.3b	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
21.3b	(sqrt (* x (* x 3.0)))
21.3b	(sqrt (* x (* x 3.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* x (* x 3.0))
11.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms	(sqrt (* x (* x 3.0)))
3.0ms	(sqrt (* x (* x 3.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x 3.0))
7.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5385	524

prune124.0ms

Filtered

53 candidates to 120 candidates (-126.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 3.0)
0.3b	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
21.3b	(sqrt (* x (* x 3.0)))
21.3b	(sqrt (* (* x x) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
38×	`pow-prod-down`
24×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`pow1/2` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`sqrt-unprod`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* (* x x) 3.0)
13.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
3.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x x) 3.0)
7.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
3.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4941	508
1	4941	508

prune114.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (sqrt 3.0))
0.4b	(* x (sqrt 3.0))
0.5b	(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
21.3b	(sqrt (* x (* x 3.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`pow1`
27×	`sqrt-prod`
18×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`associate-l`
11×	`sqrt-pow1`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1/2`
8×	`swap-sqr` `pow-prod-down` `unswap-sqr`
5×	`pow-prod-up`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 105

Calls

4 calls:

5.0ms	(* x (sqrt 3.0))
5.0ms	(* x (sqrt 3.0))
6.0ms	(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
3.0ms	(sqrt (* x (* x 3.0)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (sqrt 3.0))
4.0ms	(* x (sqrt 3.0))
1.0ms	(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
4.0ms	(sqrt (* x (* x 3.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5170	679

prune160.0ms

Filtered

59 candidates to 117 candidates (-98.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample344.0ms

Algorithm

intervals

Results

180.0ms

10682×

body

valid

Details

sample13.0ms

simplify3.0ms

prune7.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify42.0ms

prune31.0ms

localize5.0ms

rewrite29.0ms

series17.0ms

simplify37.0ms

prune124.0ms

localize8.0ms

rewrite27.0ms

series17.0ms

simplify56.0ms

prune114.0ms

localize11.0ms

rewrite21.0ms

series13.0ms

simplify48.0ms

prune160.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample344.0ms

Profiling