Details

sample65.0ms

Algorithm

intervals

Results

26.0ms	302×	body	80	nan
23.0ms	256×	body	80	valid

simplify11.0ms

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: 20.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (* x y) (* x z))
18.9b	(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:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
2.0ms	(+ (* x y) (* x z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (* x y) (* x z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify113.0ms

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

prune138.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 19.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.0b	(+ (* x (+ y z)) (* y z))
18.9b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite25.0ms

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-+l+` `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	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* y z))
10.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* x (+ y z))
20.0ms	(+ (* x (+ y z)) (* y z))
105.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	274	329
1	1112	304
2	5001	300

prune148.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.4b	(+ (* y x) (* z (+ x y)))
18.9b	(sqrt (+ (* y x) (* z (+ x y))))

rewrite20.0ms

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* z (+ x y))
19.0ms	(+ (* y x) (* z (+ x y)))
108.0ms	(sqrt (+ (* y x) (* z (+ x y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	273	328
1	1146	303
2	5001	299

prune147.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
18.9b	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
22.0ms	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
41.0ms	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
182.0ms	(cbrt x)
56.0ms	(+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z))
144.0ms	(sqrt (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))) (* y z)))

simplify199.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (193.0ms)

Iter	Nodes	Cost
0	247	549
1	884	479
2	4764	459
3	5001	451

prune197.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 19.9b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

721.0ms	8000×	body	80	valid
666.0ms	8035×	body	80	nan