Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	91×	body	1280	valid
7.0ms	55×	body	640	valid
3.0ms	10×	body	160	valid
3.0ms	66×	body	80	valid
3.0ms	15×	body	2560	valid
2.0ms	19×	body	320	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
7.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
6×	`sum-log`
4×	`add-sqr-sqrt`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ 1.0 (+ (* x y) z))
23.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (+ (* x y) z))
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	169	241
1	611	230
2	2945	230
3	5002	230

prune88.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 45.1b

localize12.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
31.1b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
2.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
160.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
155.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
40.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (+ 1.0 (+ (* x y) z)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	242	817
1	684	705
2	2695	629
3	5001	629

prune270.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 44.9b

localize16.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
2.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
156.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
161.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
41.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	251	1064
1	753	916
2	3234	842
3	5002	777

prune329.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.9b

localize21.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
5.9b	(cbrt (+ 1.0 (+ (* x y) z)))
35.0b	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
10.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
7.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
2.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
164.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
161.0ms	(cbrt (+ 1.0 (+ (* x y) z)))
38.0ms	(- (fma x y z) (* (* (cbrt (+ 1.0 (+ (* x y) z))) (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 (+ (* x y) z)))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z))))))) (cbrt (cbrt (+ 1.0 (+ (* x y) z)))))) (cbrt (+ 1.0 (+ (* x y) z)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	257	1311
1	763	1190
2	3376	1110
3	5001	962

prune304.0ms

Pruning

22 alts after pruning (19 fresh and 3 done)

Merged error: 44.9b

regimes436.0ms

Accuracy

0% (0.7b remaining)

Error of 45.7b against oracle of 45.0b and baseline of 45.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

435.0ms	2693×	body	1280	valid
203.0ms	1556×	body	640	valid
116.0ms	625×	body	2560	valid
106.0ms	2041×	body	80	valid
76.0ms	715×	body	320	valid
28.0ms	370×	body	160	valid