Details

sample95.0ms

Algorithm

intervals

Results

34.0ms	788×	body	80	nan
9.0ms	180×	body	80	valid
8.0ms	29×	body	640	valid
7.0ms	12×	body	1280	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	7
1	38	6
2	53	6
3	61	6
4	78	6
5	110	6
6	175	6
7	284	6
8	363	6
9	392	6
10	476	6
11	476	6

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 8.8b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
5.4b	(log (- 1.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

2×	`log-div` `flip3--` `associate--l+` `*-commutative` `flip--`
1×	`+-commutative` `sub-neg`

Counts

4 → 10

Calls

4 calls:

3.0ms	(* z (log (- 1.0 y)))
6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
2.0ms	(* x (log y))
2.0ms	(log (- 1.0 y))

series231.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (log (- 1.0 y)))
85.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
42.0ms	(* x (log y))
42.0ms	(log (- 1.0 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	288	166
1	891	161
2	3174	148
3	5002	146

prune83.0ms

Filtered

22 candidates to 18 candidates (81.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	20	4	24

Merged error: 0.1b

Counts

24 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
0.3b	(* x (log y))
7.9b	(* z (pow y 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`fma-def` `associate-r` `fma-udef`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 11

Calls

4 calls:

1.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
2.0ms	(* x (log y))
3.0ms	(* z (pow y 2))

series314.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
127.0ms	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
39.0ms	(* x (log y))
34.0ms	(* z (pow y 2))

simplify54.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	141	151
1	441	146
2	1804	141
3	5002	140

prune82.0ms

Filtered

23 candidates to 14 candidates (60.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	23	4	27

Merged error: 0.1b

Counts

27 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
0.0b	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
7.9b	(* z (pow y 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`associate-r`
1×	`sub-neg` `flip3--` `associate--l+` `*-commutative` `flip--` `unpow2` `sqr-pow`

Counts

4 → 10

Calls

4 calls:

3.0ms	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
1.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
1.0ms	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
5.0ms	(* z (pow y 2))

series471.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(- (fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))) t)
110.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
130.0ms	(fma x (log y) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
47.0ms	(* z (pow y 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	121	180
1	372	176
2	1505	165
3	5002	163

prune77.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
0.3b	(* x (log y))
2.4b	(log (- (* 1.0 1.0) (* y y)))
5.5b	(log (+ 1.0 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-commutative`
8×	`log-div` `log-prod` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `flip--`
2×	`associate--l-` `flip3-+` `flip-+` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 22

Calls

4 calls:

7.0ms	(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
2.0ms	(* x (log y))
5.0ms	(log (- (* 1.0 1.0) (* y y)))
2.0ms	(log (+ 1.0 y))

series309.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
42.0ms	(* x (log y))
109.0ms	(log (- (* 1.0 1.0) (* y y)))
45.0ms	(log (+ 1.0 y))

simplify131.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	317	277
1	1081	273
2	4203	255
3	5001	252

prune111.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Merged error: 0.1b

Counts

38 → 4

regimes115.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	23898×	body	80	nan
278.0ms	5560×	body	80	valid
254.0ms	873×	body	640	valid
240.0ms	409×	body	1280	valid
121.0ms	713×	body	320	valid
50.0ms	473×	body	160	valid