Details

sample177.0ms

Algorithm

intervals

Results

91.0ms	1802×	body	80	nan
15.0ms	256×	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

prune12.0ms

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: 0.3b

Counts

2 → 2

localize15.0ms

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))

rewrite21.0ms

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))

series484.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	477	495
1	1765	470
2	5001	466

prune200.0ms

Filtered

43 candidates to 38 candidates (88.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	38	7	45

Merged error: 0.1b

Counts

45 → 7

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 15

Calls

3 calls:

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

series305.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma (log t) (- a 0.5) (- t))
189.0ms	(+ (+ (log (+ x y)) (log z)) (fma (log t) (- a 0.5) (- t)))
74.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	284	237
1	826	228
2	3431	217
3	5002	215

prune126.0ms

Filtered

24 candidates to 22 candidates (91.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.1b

Counts

31 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* a a) (* 0.5 0.5)) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5)))
0.5b	(+ (log (+ x y)) (log z))
13.4b	(/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`frac-add`
20×	`*-commutative`
18×	`associate-/l*`
16×	`associate-l` `difference-of-squares`
15×	`flip3--` `flip--`
8×	`associate-*l/`
7×	`associate-+l-`
6×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`log-div` `associate-+l+`
3×	`+-commutative` `frac-2neg` `clear-num`
2×	`associate--l-` `associate--l+` `associate-/r/`
1×	`sub-neg` `sum-log` `div-inv`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (- (* a a) (* 0.5 0.5)) (log t))
15.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5)))
3.0ms	(+ (log (+ x y)) (log z))
8.0ms	(/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5))

series503.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- (* a a) (* 0.5 0.5)) (log t))
270.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5)))
71.0ms	(+ (log (+ x y)) (log z))
87.0ms	(/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5))

simplify84.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	689	1430
1	3299	1379
2	5001	1353

prune336.0ms

Filtered

70 candidates to 55 candidates (78.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	69	8	77

Merged error: 0.1b

Counts

77 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 0.5))))
0.2b	(/ (log t) (/ 1 (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(- (+ (log (+ x y)) (log z)) t)
10.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 0.5))))
4.0ms	(/ (log t) (/ 1 (- a 0.5)))
4.0ms	(+ (log (+ x y)) (log z))

series545.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (+ (log (+ x y)) (log z)) t)
203.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 0.5))))
95.0ms	(/ (log t) (/ 1 (- a 0.5)))
76.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	566	833
1	2463	785
2	5003	777

prune237.0ms

Filtered

57 candidates to 47 candidates (82.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	6	6
Picked	0	1	1
Done	1	0	1
Total	56	9	65

Merged error: 0.1b

Counts

65 → 9

regimes601.0ms

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	22	10
1	22	10

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.8s	56606×	body	80	nan
466.0ms	8031×	body	80	valid