Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	265×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(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)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

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

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 19.0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.6b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

5.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x (+ y z)) (* y z))
109.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	184	248
1	617	228
2	2649	224
3	5001	224

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x (+ y z)) (* y z))
1.6b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
10.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x (+ y z)) (* y z))
20.0ms	(+ (* x (+ y z)) (* y z))
108.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
108.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	184	496
1	617	456
2	2649	448
3	5001	448

prune237.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize19.0ms

Local error

Found 4 expressions with local error:

18.0b	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite71.0ms

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:

54.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
4.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
4.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
4.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
388.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
199.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
204.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	363	1855
1	879	1792
2	3151	1752
3	5001	1668

prune329.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample838.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
257.0ms	8006×	body	80	nan