Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	258×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 22.8b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

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

series160.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (26.0ms)

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

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize12.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (+ (* x y) (* x z)) (* y z))
2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
21.6b	(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))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify96.0ms

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

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.8b

localize15.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
21.6b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite65.0ms

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` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
55.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ (* x y) (* x z)))
110.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	273	794
1	752	735
2	2412	714
3	5001	710

prune282.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 22.8b

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
210.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
211.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	258	638
1	812	584
2	3241	560
3	5001	557

prune328.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.8b

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 20.8b against oracle of 20.8b and baseline of 20.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample783.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
233.0ms	7776×	body	80	nan