Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	76×	body	1280	valid
8.0ms	67×	body	640	valid
3.0ms	19×	body	2560	valid
2.0ms	23×	body	320	valid
2.0ms	59×	body	80	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	247	12
1	247	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 47.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

8.0ms	(+ 1.0 (+ (* x y) z))
3.0ms	(+ (* x y) z)
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
5.0ms	(+ (* x y) z)
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5125	612

prune69.0ms

Filtered

36 candidates to 52 candidates (-44.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 46.5b

Counts

53 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
33.8b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

rewrite12.0ms

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:

2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
28.0ms	(cbrt (+ z (* x y)))
9.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4954	820
1	4954	820

prune128.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	58	9	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	58	16	74

Merged error: 46.3b

Counts

74 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
37.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

rewrite13.0ms

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:

2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
28.0ms	(cbrt (+ z (* x y)))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5014	808

prune142.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	3	10	13
Picked	1	0	1
Done	0	2	2
Total	66	17	83

Merged error: 46.3b

Counts

83 → 17

localize25.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
6.9b	(cbrt (+ z (* x y)))
37.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (* (cbrt (pow (cbrt (cbrt (+ z (* x y)))) 6)) (cbrt (cbrt (+ z (* x y))))))) (cbrt (cbrt (+ z (* x y))))))))

rewrite13.0ms

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:

2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
2.0ms	(cbrt (+ z (* x y)))
5.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (* (cbrt (pow (cbrt (cbrt (+ z (* x y)))) 6)) (cbrt (cbrt (+ z (* x y))))))) (cbrt (cbrt (+ z (* x y))))))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ z (* x y)))
26.0ms	(cbrt (+ z (* x y)))
27.0ms	(cbrt (+ z (* x y)))
13.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (* (cbrt (pow (cbrt (cbrt (+ z (* x y)))) 6)) (cbrt (cbrt (+ z (* x y))))))) (cbrt (cbrt (+ z (* x y))))))))

simplify48.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	1294
1	4937	1294

prune136.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	2	12	14
Picked	1	0	1
Done	0	2	2
Total	63	21	84

Merged error: 46.3b

Counts

84 → 21

regimes542.0ms

Accuracy

0% (0.8b remaining)

Error of 45.5b against oracle of 44.7b and baseline of 45.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

386.0ms	2644×	body	1280	valid
193.0ms	1606×	body	640	valid
110.0ms	630×	body	2560	valid
68.0ms	2068×	body	80	valid
64.0ms	709×	body	320	valid
23.0ms	343×	body	160	valid

Details

sample39.0ms

simplify6.0ms

prune6.0ms

localize7.0ms

rewrite20.0ms

series20.0ms

simplify34.0ms

prune69.0ms

localize12.0ms

rewrite12.0ms

series91.0ms

simplify40.0ms

prune128.0ms

localize17.0ms

rewrite13.0ms

series90.0ms

simplify42.0ms

prune142.0ms

localize25.0ms

rewrite13.0ms

series94.0ms

simplify48.0ms

prune136.0ms

regimes542.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling