Details

sample164.0ms

Algorithm

intervals

Results

84.0ms	1802×	body	80	nan
14.0ms	256×	body	80	valid

simplify62.0ms

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

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))
3.0ms	(+ (log (+ x y)) (log z))

series480.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (+ (log (+ x y)) (log z)) t)
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (41.0ms)

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

prune390.0ms

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	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	7	44

Merged error: 0.1b

Counts

44 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

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

series379.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
89.0ms	(+ (* (- a 0.5) (log t)) (- (+ (log (+ x y)) (log z)) t))
54.0ms	(* (- a 0.5) (log t))
75.0ms	(+ (log (+ x y)) (log z))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	459	514
1	1664	501
2	5002	497

prune202.0ms

Filtered

43 candidates to 38 candidates (88.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Merged error: 0.1b

Counts

50 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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/`
6×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`associate-+l-` `log-div` `associate-+r+`
3×	`+-commutative` `associate-+r-` `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	(+ (/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5)) (- (+ (log (+ x y)) (log z)) t))
3.0ms	(+ (log (+ x y)) (log z))
8.0ms	(/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5))

series340.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (* a a) (* 0.5 0.5)) (log t))
112.0ms	(+ (/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5)) (- (+ (log (+ x y)) (log z)) t))
71.0ms	(+ (log (+ x y)) (log z))
87.0ms	(/ (* (- (* a a) (* 0.5 0.5)) (log t)) (+ a 0.5))

simplify110.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	807	1484
1	4322	1463
2	5001	1450

prune312.0ms

Filtered

70 candidates to 55 candidates (78.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	69	9	78

Merged error: 0.1b

Counts

78 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(- (+ (log (+ x y)) (log z)) t)
9.0ms	(+ (/ (log t) (/ 1 (- a 0.5))) (- (+ (log (+ x y)) (log z)) t))
3.0ms	(/ (log t) (/ 1 (- a 0.5)))
3.0ms	(+ (log (+ x y)) (log z))

series434.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- (+ (log (+ x y)) (log z)) t)
103.0ms	(+ (/ (log t) (/ 1 (- a 0.5))) (- (+ (log (+ x y)) (log z)) t))
92.0ms	(/ (log t) (/ 1 (- a 0.5)))
72.0ms	(+ (log (+ x y)) (log z))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	624	863
1	2862	839
2	5001	837

prune233.0ms

Filtered

57 candidates to 48 candidates (84.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	56	10	66

Merged error: 0.1b

Counts

66 → 10

regimes593.0ms

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	21	10
1	21	10

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56606×	body	80	nan
439.0ms	8031×	body	80	valid