Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

347×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune4.0ms

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)

rewrite6.0ms

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:

6.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5188	121

prune36.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.1b

Counts

22 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 3.0))
0.4b	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
17.2b	(sqrt (* x (* x 3.0)))
17.2b	(sqrt (* x (* x 3.0)))

rewrite33.0ms

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x 3.0))
11.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))

simplify34.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5385	524

prune138.0ms

Filtered

54 candidates to 120 candidates (-122.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 3.0))
0.3b	(* x (sqrt 3.0))
0.4b	(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
17.2b	(sqrt (* x (* x 3.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
16×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`pow-prod-down`
6×	`sqrt-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqrt-pow1` `*-commutative` `unswap-sqr`
1×	`pow1/2`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* x (* x 3.0))
6.0ms	(* x (sqrt 3.0))
8.0ms	(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
4.0ms	(sqrt (* x (* x 3.0)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x 3.0))
4.0ms	(* x (sqrt 3.0))
8.0ms	(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
4.0ms	(sqrt (* x (* x 3.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5126	490

prune141.0ms

Filtered

52 candidates to 83 candidates (-59.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 3.0)
0.4b	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
17.2b	(sqrt (* x (* x 3.0)))
17.2b	(sqrt (* (* x x) 3.0))

rewrite32.0ms

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:

6.0ms	(* (* x x) 3.0)
14.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))
5.0ms	(sqrt (* (* x x) 3.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x x) 3.0)
8.0ms	(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
4.0ms	(sqrt (* x (* x 3.0)))
4.0ms	(sqrt (* (* x x) 3.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4941	508
1	4941	508

prune103.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

regimes104.0ms

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

sample373.0ms

Algorithm

intervals

Results

190.0ms

10706×

body

valid

Details

sample14.0ms

simplify2.0ms

prune4.0ms

localize3.0ms

rewrite6.0ms

series3.0ms

simplify38.0ms

prune36.0ms

localize6.0ms

rewrite33.0ms

series23.0ms

simplify34.0ms

prune138.0ms

localize9.0ms

rewrite26.0ms

series20.0ms

simplify36.0ms

prune141.0ms

localize9.0ms

rewrite32.0ms

series20.0ms

simplify53.0ms

prune103.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample373.0ms

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