Details

analyze883.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 80.950928%

sample37.0ms

Algorithm

intervals

Results

14.0ms	92×	body	1280	valid
5.0ms	39×	body	640	valid
4.0ms	22×	body	2560	valid
2.0ms	72×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify26.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 44.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x y) z)
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x y) z)
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune57.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 44.1b

Counts

36 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (+ (* x y) z))
10.3b	(cbrt (+ (* x y) z))
10.3b	(cbrt (+ (* x y) z))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* x y) z))
33.0ms	(cbrt (+ (* x y) z))
31.0ms	(cbrt (+ (* x y) z))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	245	719
1	642	627
2	1964	598
3	5001	556

prune158.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	54	13	67
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	55	19	74

Merged error: 44.0b

Counts

74 → 19

localize19.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (+ (* x y) z))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
11×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`diff-log`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-prod` `sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* x y) z))
12.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	245	1197
1	642	977
2	1964	922
3	5001	820

prune214.0ms

Filtered

56 candidates to 73 candidates (-30.4%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	1	15	16
Picked	0	1	1
Done	0	2	2
Total	70	22	92

Merged error: 43.9b

Counts

92 → 22

localize18.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (+ (* x y) z))
10.3b	(cbrt (+ (* x y) z))
10.3b	(cbrt (+ (* x y) z))
33.6b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ (* x y) z))
31.0ms	(cbrt (+ (* x y) z))
33.0ms	(cbrt (+ (* x y) z))
11.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	254	949
1	667	879
2	2237	867
3	5001	858

prune98.0ms

Filtered

55 candidates to 67 candidates (-21.8%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	55	12	67
Fresh	2	16	18
Picked	1	0	1
Done	0	3	3
Total	58	31	89

Merged error: 43.9b

Counts

89 → 31

regimes731.0ms

Accuracy

0% (0.7b remaining)

Error of 44.5b against oracle of 43.9b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

analyze878.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 80.950928%

sample1.0s

Algorithm

intervals

Results

402.0ms	2637×	body	1280	valid
191.0ms	1572×	body	640	valid
106.0ms	585×	body	2560	valid
73.0ms	2170×	body	80	valid
64.0ms	697×	body	320	valid
27.0ms	339×	body	160	valid

Details

analyze883.0ms

sample37.0ms

simplify26.0ms

prune3.0ms

localize8.0ms

rewrite12.0ms

series16.0ms

simplify59.0ms

prune57.0ms

localize14.0ms

rewrite16.0ms

series105.0ms

simplify53.0ms

prune158.0ms

localize19.0ms

rewrite19.0ms

series62.0ms

simplify56.0ms

prune214.0ms

localize18.0ms

rewrite17.0ms

series105.0ms

simplify66.0ms

prune98.0ms

regimes731.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze878.0ms

sample1.0s

Profiling