Details

sample171.0ms

Algorithm

intervals

Results

86.0ms	1813×	body	80	nan
17.0ms	257×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-+l-`
6×	`log-div` `flip3--` `associate-*l/` `flip--`
5×	`flip3-+` `flip-+`
4×	`+-commutative` `associate--l-` `associate-+l+` `frac-add` `associate--l+`
2×	`sub-neg`
1×	`sum-log` `*-commutative`

Counts

4 → 31

Calls

4 calls:

5.0ms	(- (+ (log (+ x y)) (log z)) t)
9.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
3.0ms	(* (- a 0.5) (log t))
4.0ms	(+ (log (+ x y)) (log z))

series497.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
197.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify44.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	448	514
1	1621	501
2	5001	497

prune196.0ms

Filtered

43 candidates to 38 candidates (88.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	6	44

Merged error: 0.1b

Counts

44 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (log z) (log (+ x y)))
0.6b	(* (log (+ x y)) (log (+ x y)))
0.7b	(pow (log z) 3)
0.8b	(pow (log (+ x y)) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow-to-exp` `log-div` `unpow3` `associate--r-` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `diff-log` `*-commutative` `flip--` `flip-+`

Counts

4 → 15

Calls

4 calls:

4.0ms	(- (log z) (log (+ x y)))
3.0ms	(* (log (+ x y)) (log (+ x y)))
1.0ms	(pow (log z) 3)
2.0ms	(pow (log (+ x y)) 3)

series733.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (log z) (log (+ x y)))
172.0ms	(* (log (+ x y)) (log (+ x y)))
173.0ms	(pow (log z) 3)
312.0ms	(pow (log (+ x y)) 3)

simplify38.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	154	120
1	366	117
2	1332	112
3	5001	104

prune129.0ms

Filtered

27 candidates to 19 candidates (70.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 0.1b

Counts

33 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (* (+ x y) z)) t)
0.1b	(+ (- (log (* (+ x y) z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
11.6b	(log (* (+ x y) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`log-div` `log-prod` `flip3--` `flip--`
4×	`associate--l-` `associate-+l+` `flip3-+` `frac-add` `associate--l+` `*-commutative` `flip-+`
3×	`associate-+l-`
2×	`sub-neg`
1×	`+-commutative`

Counts

4 → 29

Calls

4 calls:

4.0ms	(- (log (* (+ x y) z)) t)
12.0ms	(+ (- (log (* (+ x y) z)) t) (* (- a 0.5) (log t)))
3.0ms	(* (- a 0.5) (log t))
3.0ms	(log (* (+ x y) z))

series402.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (log (* (+ x y) z)) t)
172.0ms	(+ (- (log (* (+ x y) z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
47.0ms	(log (* (+ x y) z))

simplify41.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	417	445
1	1436	432
2	5001	412

prune172.0ms

Filtered

41 candidates to 36 candidates (87.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0.1b

Counts

47 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log t) a) (+ (log z) (log x)))
0.1b	(+ (- (+ t (* 0.5 (log t)))) (+ (* (log t) a) (+ (log z) (log x))))
0.2b	(* (log t) a)
0.4b	(+ (log z) (log x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+r+`
7×	`+-commutative` `flip3-+` `flip-+`
4×	`frac-add` `distribute-neg-frac`
2×	`associate-+l+` `distribute-neg-in`
1×	`neg-sub0` `associate-+l-` `sum-log` `*-commutative`

Counts

4 → 24

Calls

4 calls:

5.0ms	(+ (* (log t) a) (+ (log z) (log x)))
9.0ms	(+ (- (+ t (* 0.5 (log t)))) (+ (* (log t) a) (+ (log z) (log x))))
2.0ms	(* (log t) a)
3.0ms	(+ (log z) (log x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* (log t) a) (+ (log z) (log x)))
85.0ms	(+ (- (+ t (* 0.5 (log t)))) (+ (* (log t) a) (+ (log z) (log x))))
62.0ms	(* (log t) a)
64.0ms	(+ (log z) (log x))

simplify48.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	438	544
1	1810	512
2	5001	503

prune118.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	35	7	42

Merged error: 0.1b

Counts

42 → 7

regimes483.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	55788×	body	80	nan
464.0ms	8027×	body	80	valid