Details

sample168.0ms

Algorithm

intervals

Results

85.0ms	1813×	body	80	nan
14.0ms	257×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+l-` `log-div`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate--l-` `associate--l+`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `fma-udef`

Counts

3 → 15

Calls

3 calls:

5.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
4.0ms	(+ (log (+ x y)) (log z))

series339.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(- (+ (log (+ x y)) (log z)) t)
87.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
69.0ms	(+ (log (+ x y)) (log z))

simplify56.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	267	184
1	736	176
2	2829	170
3	5001	166

prune96.0ms

Filtered

24 candidates to 21 candidates (87.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Merged error: 0.2b

Counts

25 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 16

Calls

4 calls:

3.0ms	(* (+ x y) z)
4.0ms	(- (log (* (+ x y) z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (log (* (+ x y) z)) t))
3.0ms	(log (* (+ x y) z))

series262.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
117.0ms	(- (log (* (+ x y) z)) t)
78.0ms	(fma (log t) (- a 0.5) (- (log (* (+ x y) z)) t))
45.0ms	(log (* (+ x y) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	244	160
1	644	153
2	2531	148
3	5002	146

prune97.0ms

Filtered

28 candidates to 22 candidates (78.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0.2b

Counts

32 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`fma-udef`
2×	`associate-+r-` `sub-neg` `associate-+r+` `associate--r+`
1×	`+-commutative` `associate-+l+` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 15

Calls

4 calls:

1.0ms	(fma (log t) 0.5 t)
3.0ms	(+ (fma a (log t) (log z)) (- (log y) (fma (log t) 0.5 t)))
1.0ms	(fma a (log t) (log z))
2.0ms	(- (log y) (fma (log t) 0.5 t))

series392.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma (log t) 0.5 t)
69.0ms	(+ (fma a (log t) (log z)) (- (log y) (fma (log t) 0.5 t)))
48.0ms	(fma a (log t) (log z))
106.0ms	(- (log y) (fma (log t) 0.5 t))

simplify77.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	256	222
1	878	216
2	4080	199
3	5001	196

prune102.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	25	6	31

Merged error: 0.2b

Counts

31 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`fma-udef`
3×	`associate-+l+`
2×	`associate--l-` `neg-sub0` `associate-+l-` `sub-neg` `distribute-neg-in` `associate--l+`
1×	`+-commutative` `neg-mul-1` `associate-+r+` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 18

Calls

4 calls:

1.0ms	(fma (log t) 0.5 t)
5.0ms	(+ (- (- (fma a (log t) (log z))) (log x)) (fma (log t) 0.5 t))
1.0ms	(fma a (log t) (log z))
3.0ms	(- (- (fma a (log t) (log z))) (log x))

series358.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(fma (log t) 0.5 t)
70.0ms	(+ (- (- (fma a (log t) (log z))) (log x)) (fma (log t) 0.5 t))
45.0ms	(fma a (log t) (log z))
72.0ms	(- (- (fma a (log t) (log z))) (log x))

simplify89.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	273	265
1	947	248
2	4912	231
3	5001	229

prune107.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	29	7	36

Merged error: 0.1b

Counts

36 → 7

regimes671.0ms

Accuracy

63.5% (5.7b remaining)

Error of 5.9b against oracle of 0.1b and baseline of 15.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	45
1	41	45

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	55788×	body	80	nan
456.0ms	8027×	body	80	valid