Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify306.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

994.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
59.0ms	(+ (+ (+ x y) y) x)
13.0ms	(+ (+ x y) y)

series80.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
34.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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)))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

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

prune33.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ x y) y)
0.2b	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
72×	`distribute-lft-out`
54×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`swap-sqr` `add-log-exp`
19×	`pow1`
12×	`add-cube-cbrt` `sqrt-div` `sum-log`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`+-commutative` `associate-+l+` `pow-prod-down` `pow-sqr`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

57.0ms	(+ (+ (+ x y) y) x)
14.0ms	(+ (+ x y) y)
13.0ms	(+ (+ x y) y)
272.0ms	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (+ x y) y) x)
30.0ms	(+ (+ x y) y)
23.0ms	(+ (+ x y) y)
42.0ms	(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	274	734
1	1171	637
2	5001	603

prune214.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x))) (sqrt (cbrt (+ (+ (+ x y) y) x))))
0.2b	(* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
24×	`distribute-lft-out`
21×	`associate-r`
18×	`cbrt-prod`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`sqrt-div`
12×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

248.0ms	(* (* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x))) (sqrt (cbrt (+ (+ (+ x y) y) x))))
137.0ms	(* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x)))
32.0ms	(cbrt (+ (+ (+ x y) y) x))
36.0ms	(cbrt (+ (+ (+ x y) y) x))

series802.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x))) (sqrt (cbrt (+ (+ (+ x y) y) x))))
94.0ms	(* (fabs (cbrt (+ (+ (+ x y) y) x))) (sqrt (+ (+ (+ x y) y) x)))
220.0ms	(cbrt (+ (+ (+ x y) y) x))
212.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	640	1618
1	2415	1486
2	5003	1456

prune348.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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	5
1	13	5

end0.0ms

sample374.0ms

Algorithm

intervals

Results

163.0ms	7405×	body	80	valid
22.0ms	185×	body	1280	valid
15.0ms	200×	body	640	valid
7.0ms	122×	body	320	valid
3.0ms	76×	body	160	valid
2.0ms	19×	body	2560	valid