Details

sample266.0ms

Algorithm

intervals

Results

95.0ms	1259×	body	80	nan
32.0ms	398×	body	80	valid
5.0ms	11×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	1×	body	1280	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (35.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	111	18
4	282	17
5	951	17
6	4645	17
done	5000	17

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: 1.8b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.9b	(log (- 1.0 z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-l` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `sum-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

13.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series135.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
15.0ms	(* y (- (log z) t))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify733.0ms

Counts

119 → 119

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	280	2029
1	691	1935
2	2098	1747
done	5001	1742

prune227.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

5.0ms	(- (log z) t)
20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
8.0ms	(* y (- (log z) t))
23.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (log z) t)
22.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
14.0ms	(* y (- (log z) t))
64.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify747.0ms

Counts

140 → 140

Iterations

Useful iterations: done (742.0ms)

Iter	Nodes	Cost
0	253	3059
1	605	2930
2	1777	2766
done	5002	2689

prune334.0ms

Filtered

92 candidates to 140 candidates (-52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	140	6	146

Merged error: 0.0b

Counts

146 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* t y)))))
0.2b	(* y (log z))
0.3b	(- (* a (- (log (- 1.0 z)) b)) (* t y))
5.9b	(log (- 1.0 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate--l+`
23×	`add-sqr-sqrt`
21×	`log-prod`
19×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`associate-l` `add-log-exp`
3×	`sub-neg` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate-+r-` `exp-diff` `diff-log` `associate-*r/` `rem-log-exp` `exp-sum`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* t y)))))
5.0ms	(* y (log z))
14.0ms	(- (* a (- (log (- 1.0 z)) b)) (* t y))
5.0ms	(log (- 1.0 z))

series111.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (exp (+ (* y (log z)) (- (* a (- (log (- 1.0 z)) b)) (* t y)))))
7.0ms	(* y (log z))
29.0ms	(- (* a (- (log (- 1.0 z)) b)) (* t y))
3.0ms	(log (- 1.0 z))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: 3 (839.0ms)

Iter	Nodes	Cost
0	233	1433
1	507	1397
2	1319	1231
3	4379	1158
done	5000	1158

prune187.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.9b	(log (- 1.0 z))
5.9b	(log (- 1.0 z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
32×	`associate--l+`
28×	`associate-+r+`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate-+l+`
16×	`associate-*r/`
14×	`add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`sub-neg` `frac-add` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
4×	`log-div` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 110

Calls

4 calls:

14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
14.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify578.0ms

Counts

122 → 122

Iterations

Useful iterations: done (574.0ms)

Iter	Nodes	Cost
0	192	2332
1	496	2222
2	1556	2068
done	5000	2032

prune339.0ms

Filtered

98 candidates to 122 candidates (-24.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

regimes878.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	32	30
done	32	30

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.0s	41332×	body	80	nan
1.0s	12646×	body	80	valid
142.0ms	350×	body	640	valid
106.0ms	393×	body	320	valid
61.0ms	84×	body	1280	valid
44.0ms	260×	body	160	valid

Details

sample266.0ms

simplify2.8s

prune16.0ms

localize16.0ms

rewrite48.0ms

series135.0ms

simplify733.0ms

prune227.0ms

localize26.0ms

rewrite61.0ms

series112.0ms

simplify747.0ms

prune334.0ms

localize18.0ms

rewrite39.0ms

series111.0ms

simplify1.6s

prune187.0ms

localize19.0ms

rewrite41.0ms

series94.0ms

simplify578.0ms

prune339.0ms

regimes878.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.1s

Profiling