Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	242×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid

simplify311.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

238.0ms	(+ (+ (+ (+ x y) y) x) z)
979.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
59.0ms	(+ (+ (+ x y) y) x)
13.0ms	(+ (+ x y) y)

series100.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (+ (+ x y) y) x) z)
24.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
30.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	294	435
1	1103	400
2	5002	386

prune139.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

263.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
32.0ms	(cbrt (+ (+ (+ x y) y) x))
33.0ms	(cbrt (+ (+ (+ x y) y) x))
32.0ms	(cbrt (+ (+ (+ x y) y) x))

series893.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
216.0ms	(cbrt (+ (+ (+ x y) y) x))
210.0ms	(cbrt (+ (+ (+ x y) y) x))
215.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune311.0ms

Filtered

129 candidates to 78 candidates (60.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
24×	`*-un-lft-identity`
14×	`cbrt-prod` `flip3-+` `flip-+`
12×	`distribute-lft-out`
8×	`frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 66

Calls

4 calls:

34.0ms	(cbrt (+ (+ (+ x y) y) x))
31.0ms	(cbrt (+ (+ (+ x y) y) x))
72.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
75.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (+ (+ (+ x y) y) x))
216.0ms	(cbrt (+ (+ (+ x y) y) x))
345.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
348.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	280	1100
1	727	1040
2	2903	1014
3	5001	1002

prune353.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.9b	(pow (cbrt (cbrt (+ (+ (+ x y) y) x))) 4)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
33×	`cbrt-prod`
24×	`distribute-lft-out`
12×	`unpow-prod-down`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

32.0ms	(cbrt (+ (+ (+ x y) y) x))
33.0ms	(cbrt (+ (+ (+ x y) y) x))
32.0ms	(cbrt (+ (+ (+ x y) y) x))
69.0ms	(pow (cbrt (cbrt (+ (+ (+ x y) y) x))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (+ (+ (+ x y) y) x))
210.0ms	(cbrt (+ (+ (+ x y) y) x))
223.0ms	(cbrt (+ (+ (+ x y) y) x))
457.0ms	(pow (cbrt (cbrt (+ (+ (+ x y) y) x))) 4)

simplify100.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	317	796
1	941	746
2	4037	713
3	5001	681

prune303.0ms

Filtered

87 candidates to 64 candidates (73.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

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

sample397.0ms

Algorithm

intervals

Results

175.0ms	7391×	body	80	valid
20.0ms	192×	body	1280	valid
17.0ms	173×	body	640	valid
8.0ms	132×	body	320	valid
4.0ms	94×	body	160	valid
4.0ms	29×	body	2560	valid