Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	265×	body	80	nan
8.0ms	256×	body	80	valid

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: 19.7b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (* x y) (* x z))
18.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite68.0ms

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:

28.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (* x y) (* x z))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (* x y) (* x z))
99.0ms	(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	355
1	908	322
2	3660	314
3	5001	314

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.4b	(+ (* x y) (* z (+ x y)))
18.6b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite37.0ms

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:

19.0ms	(* z (+ x y))
9.0ms	(+ (* x y) (* z (+ x y)))
8.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series143.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* z (+ x y))
21.0ms	(+ (* x y) (* z (+ x y)))
99.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	273	329
1	1133	304
2	5001	300

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.6b

localize12.0ms

Local error

Found 4 expressions with local error:

14.6b	(cbrt (* z (+ x y)))
14.6b	(cbrt (* z (+ x y)))
14.6b	(cbrt (* z (+ x y)))
18.6b	(sqrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

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

series393.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (* z (+ x y)))
97.0ms	(cbrt (* z (+ x y)))
97.0ms	(cbrt (* z (+ x y)))
102.0ms	(sqrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	254	575
1	648	528
2	1985	507
3	5001	500

prune214.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.6b

localize17.0ms

Local error

Found 4 expressions with local error:

14.6b	(cbrt (* z (+ x y)))
14.6b	(cbrt (* z (+ x y)))
19.1b	(cbrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))
19.1b	(cbrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod` `cbrt-div`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `associate-*r/` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

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

series590.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (* z (+ x y)))
100.0ms	(cbrt (* z (+ x y)))
194.0ms	(cbrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))
196.0ms	(cbrt (+ (* x y) (* (* (cbrt (* z (+ x y))) (cbrt (* z (+ x y)))) (cbrt (* z (+ x y))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	233	878
1	585	802
2	1813	756
3	5001	752

prune285.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 19.6b

regimes226.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample973.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	80	valid
239.0ms	7966×	body	80	nan