Details

analyze362.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample43.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
9.0ms	134×	body	80	nan
0.0ms	3×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	16
1	81	16

prune16.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize25.0ms

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)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

14.0ms	(- (+ (log (+ x y)) (log z)) t)
22.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series147.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (+ (log (+ x y)) (log z)) t)
72.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
17.0ms	(* (- a 0.5) (log t))
25.0ms	(+ (log (+ x y)) (log z))

simplify29.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5269	1626

prune192.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	103	9	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
25×	`log-prod`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`pow1` `distribute-lft-out` `add-log-exp`
12×	`associate--l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+r+`
7×	`associate-+l+` `sum-log` `log-pow`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`associate-r`
3×	`associate-+r-` `flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `associate-+l-` `sub-neg` `log-div` `flip3--` `associate-*l/` `flip--`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

6.0ms	(- (* (- a 0.5) (log t)) t)
8.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
8.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* (- a 0.5) (log t)) t)
23.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
10.0ms	(* (- a 0.5) (log t))
68.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5041	1494

prune178.0ms

Filtered

85 candidates to 110 candidates (-29.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	109	11	120

Merged error: 0.0b

Counts

120 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
0.6b	(+ (log z) (log (+ x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
14×	`add-log-exp`
12×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-+r-`
9×	`associate-+l+`
7×	`flip3-+` `sum-log` `flip-+`
6×	`add-exp-log` `distribute-rgt-in` `log-div` `distribute-lft-in` `associate-*l/` `add-cbrt-cube`
5×	`associate-+r+` `associate-l` `log-pow` `distribute-lft-out`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`diff-log`
2×	`+-commutative` `associate--l-` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

15.0ms	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
7.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
7.0ms	(+ (log z) (log (+ x y)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
10.0ms	(* (- a 0.5) (log t))
36.0ms	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
16.0ms	(+ (log z) (log (+ x y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4981	1677
1	4981	1677

prune177.0ms

Filtered

85 candidates to 108 candidates (-27.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	4	5	9
Picked	1	0	1
Done	1	0	1
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y))) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (log z) (* (- a 0.5) (log t)))
0.3b	(+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
13×	`add-log-exp`
12×	`add-cube-cbrt`
10×	`associate-+r+`
9×	`pow1`
7×	`sum-log`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-l` `distribute-lft-out`
4×	`associate-+r-` `log-div` `associate-+l+` `flip3-+` `associate-r` `flip-+` `distribute-lft-out--`
3×	`diff-log` `log-pow`
2×	`+-commutative` `associate--l-` `flip3--` `associate-*l/` `flip--` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

9.0ms	(- (+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y))) t)
7.0ms	(* (- a 0.5) (log t))
5.0ms	(+ (log z) (* (- a 0.5) (log t)))
9.0ms	(+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y))) t)
10.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log z) (* (- a 0.5) (log t)))
44.0ms	(+ (+ (log z) (* (- a 0.5) (log t))) (log (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4968	1505
1	4968	1505

prune126.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

analyze365.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample1.2s

Algorithm

intervals

Results

597.0ms	8000×	body	80	valid
292.0ms	4352×	body	80	nan
3.0ms	40×	body	80	invalid

Details

analyze362.0ms

sample43.0ms

simplify4.0ms

prune16.0ms

localize25.0ms

rewrite67.0ms

series147.0ms

simplify29.0ms

prune192.0ms

localize15.0ms

rewrite39.0ms

series110.0ms

simplify38.0ms

prune178.0ms

localize15.0ms

rewrite44.0ms

series96.0ms

simplify74.0ms

prune177.0ms

localize15.0ms

rewrite32.0ms

series116.0ms

simplify61.0ms

prune126.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze365.0ms

sample1.2s

Profiling