Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	237×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (* x y) (* x z))
2.8b	(+ (+ (* x y) (* x z)) (* y z))
19.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+ (* x y) (* x z))
32.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify130.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.8b

localize9.0ms

Local error

Found 2 expressions with local error:

2.8b	(+ (* x (+ y z)) (* y z))
19.7b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite29.0ms

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` `expm1-log1p-u` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `fma-def` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 33

Calls

2 calls:

13.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x (+ y z)) (* y z))
118.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	201	264
1	674	243
2	2998	240
3	5001	238

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.8b

localize14.0ms

Local error

Found 4 expressions with local error:

17.9b	(cbrt (+ (* x y) (* x z)))
17.9b	(cbrt (+ (* x y) (* x z)))
17.9b	(cbrt (+ (* x y) (* x z)))
19.7b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* x z)))
5.0ms	(cbrt (+ (* x y) (* x z)))
5.0ms	(cbrt (+ (* x y) (* x z)))
120.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ (* x y) (* x z)))
127.0ms	(cbrt (+ (* x y) (* x z)))
132.0ms	(cbrt (+ (* x y) (* x z)))
119.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	291	859
1	852	800
2	2886	779
3	5002	764

prune336.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.8b

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b	(+ (* x (+ y z)) (* y z))
2.8b	(+ (* x (+ y z)) (* y z))
19.7b	(sqrt (+ (* x (+ y z)) (* y z)))
19.7b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite63.0ms

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` `expm1-log1p-u` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `fma-def` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 66

Calls

4 calls:

14.0ms	(+ (* x (+ y z)) (* y z))
13.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
19.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x (+ y z)) (* y z))
25.0ms	(+ (* x (+ y z)) (* y z))
118.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
123.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	201	528
1	674	486
2	2998	480
3	5001	476

prune290.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 20.8b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample944.0ms

Algorithm

intervals

Results

246.0ms	7971×	body	80	nan
245.0ms	8000×	body	80	valid