Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	250×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

2.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.5b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.5b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (* 1 (+ (+ (* x y) (* x z)) (* y z))))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`pow1`
6×	`add-sqr-sqrt` `sum-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3-+` `sqrt-div` `sqrt-prod` `add-cbrt-cube` `flip-+`
3×	`sqrt-pow1`
2×	`+-commutative` `associate-+l+` `pow1/2` `associate-*r/`
1×	`rem-sqrt-square` `pow-prod-down`

Counts

4 → 54

Calls

4 calls:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(+ (+ (* x y) (* x z)) (* y z))
9.0ms	(sqrt (* 1 (+ (+ (* x y) (* x z)) (* y z))))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
109.0ms	(sqrt (* 1 (+ (+ (* x y) (* x z)) (* y z))))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify129.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	216	548
1	878	488
2	4842	474
3	5001	474

prune235.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.5b

localize19.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

77.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
8.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
212.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
213.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
209.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify126.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	359	2148
1	853	2082
2	3030	2037
3	5001	1939

prune371.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 17.5b

regimes198.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample817.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
246.0ms	8038×	body	80	nan