Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	273×	body	80	nan
9.0ms	256×	body	80	valid

simplify10.0ms

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: 17.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

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:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* x z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify120.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 17.7b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

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:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify94.0ms

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

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 17.7b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	620
1	666	570
2	2872	558
3	5001	558

prune247.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 17.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
30.6b	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `sqrt-div` `sum-log` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `cube-div` `cbrt-div`
1×	`cube-mult` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `pow1/3` `unpow3` `rem-cbrt-cube` `distribute-lft-out` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
8.0ms	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

series295.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x y) (* x z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
119.0ms	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	347	675
1	1307	636
2	5001	623

prune191.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 17.7b

regimes164.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 20.0b and baseline of 20.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

343.0ms	8000×	body	80	valid
320.0ms	8175×	body	80	nan