Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

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)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	356
1	908	323
2	3660	315
3	5001	315

prune133.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.2b	(+ (* x y) (* z (+ x y)))
18.4b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

9.0ms	(* z (+ x y))
3.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series153.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* z (+ x y))
20.0ms	(+ (* x y) (* z (+ x y)))
108.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	273	328
1	1133	303
2	5001	299

prune147.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 19.3b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite49.0ms

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

series265.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

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

prune240.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 19.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.2b	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
18.4b	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
3.0ms	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
3.0ms	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
55.0ms	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
141.0ms	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

simplify149.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	286	683
1	946	599
2	4660	573
3	5001	572

prune212.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 19.2b

regimes250.0ms

Accuracy

0% (0.2b remaining)

Error of 19.5b against oracle of 19.4b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample836.0ms

Algorithm

intervals

Results

265.0ms	8107×	body	80	nan
260.0ms	8000×	body	80	valid