Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	256×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(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)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

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

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.2b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite47.0ms

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

series255.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
106.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

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

prune232.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.2b

localize22.0ms

Local error

Found 4 expressions with local error:

19.2b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite104.0ms

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:

78.0ms	(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)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
215.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
218.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
212.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (102.0ms)

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

prune403.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.2b

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

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)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	258	586
1	812	528
2	3241	510
3	5001	508

prune266.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.2b

regimes261.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b 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

sample827.0ms

Algorithm

intervals

Results

253.0ms	8067×	body	80	nan
251.0ms	8000×	body	80	valid