Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	239×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify300.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

11.0ms

(+ (* 2 (+ x y)) (+ x z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(+ (* 2 (+ x y)) (+ x z))
0.3b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`associate-+l+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

18.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(+ (* 2 (+ x y)) (+ x z))
11.0ms	(+ (* 2 (+ x y)) (+ x z))
85.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
21.0ms	(+ (* 2 (+ x y)) (+ x z))
27.0ms	(+ (* 2 (+ x y)) (+ x z))
52.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify84.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	521	2819
1	2210	2733
2	5001	2712

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	111	103
1	430	94
2	2103	94
3	5001	94

prune37.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.1b	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.2b	(* (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3))
0.4b	(pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3)

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

204×	`sqrt-div`
107×	`sqrt-prod`
85×	`flip3-+` `flip-+`
74×	`add-sqr-sqrt` `associate-*r/`
68×	`frac-add`
48×	`cube-div`
36×	`frac-times`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`associate-l`
7×	`add-cbrt-cube`
6×	`pow1/2` `associate-*l/`
5×	`pow-pow` `sqr-pow`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 214

Calls

4 calls:

20.0ms	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
19.0ms	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
136.0ms	(* (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3))
26.0ms	(pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

404.0ms	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
401.0ms	(sqrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
63.0ms	(* (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3))
380.0ms	(pow (sqrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) 3)

simplify137.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	878	4852
1	4302	4086
2	5001	3870

prune1000.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample609.0ms

Algorithm

intervals

Results

354.0ms	7462×	body	80	valid
34.0ms	167×	body	1280	valid
30.0ms	181×	body	640	valid
16.0ms	123×	body	320	valid
7.0ms	30×	body	2560	valid
5.0ms	56×	body	160	valid