Details

sample261.0ms

Algorithm

intervals

Results

80.0ms	854×	body	80	nan
55.0ms	289×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	399	21
4	1689	21
done	5000	21

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.1s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

3.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
693.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
46.0ms	(* (- b 0.5) (log c))
13.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

657.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
323.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
83.0ms	(* (- b 0.5) (log c))
54.0ms	(* x (log y))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	248	1979
1	670	1859
2	2844	1749
done	5001	1724

prune593.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-*l/` `add-log-exp`
21×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-add`
18×	`sqrt-prod`
16×	`associate-r`
15×	`pow1` `sum-log`
13×	`associate-l`
12×	`associate-+r+` `flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `log-pow` `flip-+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+`

Counts

4 → 139

Calls

4 calls:

3.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log (sqrt c)))) (* (- b 0.5) (log (sqrt c))))
51.0ms	(* (- b 0.5) (log (sqrt c)))
46.0ms	(* (- b 0.5) (log (sqrt c)))
29.0ms	(* x (log y))

series639.0ms

Counts

4 → 12

Calls

4 calls:

435.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log (sqrt c)))) (* (- b 0.5) (log (sqrt c))))
63.0ms	(* (- b 0.5) (log (sqrt c)))
84.0ms	(* (- b 0.5) (log (sqrt c)))
56.0ms	(* x (log y))

simplify2.7s

Counts

151 → 151

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	304	3877
1	967	3555
2	4519	3323
done	5000	3291

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt c))
0.2b	(* (- b 0.5) (+ (log (sqrt c)) (log (sqrt (sqrt c)))))
0.3b	(* x (log y))
0.3b	(+ (log (sqrt c)) (log (sqrt (sqrt c))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

49×	`log-pow`
41×	`pow1`
31×	`*-un-lft-identity`
30×	`sqrt-pow1`
25×	`add-sqr-sqrt`
23×	`associate-r`
22×	`sqrt-prod`
21×	`log-prod`
20×	`pow1/2`
17×	`add-cube-cbrt`
16×	`distribute-rgt-out`
12×	`distribute-lft-out`
9×	`associate-+r+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate-+l+`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `flip3-+` `distribute-rgt1-in` `flip-+` `add-log-exp`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (sqrt c))
117.0ms	(* (- b 0.5) (+ (log (sqrt c)) (log (sqrt (sqrt c)))))
9.0ms	(* x (log y))
32.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(sqrt (sqrt c))
201.0ms	(* (- b 0.5) (+ (log (sqrt c)) (log (sqrt (sqrt c)))))
49.0ms	(* x (log y))
195.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))

simplify1.8s

Counts

144 → 144

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	284	1673
1	753	1524
2	3220	1365
done	5001	1350

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- b 0.5) (+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c))))))
0.2b	(+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c)))))
0.3b	(+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c)))))
0.3b	(* x (log y))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

79×	`log-pow`
64×	`pow1`
58×	`*-un-lft-identity`
53×	`sqrt-pow1`
50×	`distribute-lft-out`
39×	`sqrt-prod`
36×	`log-prod`
26×	`add-sqr-sqrt`
24×	`associate-+r+`
23×	`pow1/2` `associate-r`
20×	`add-cube-cbrt`
16×	`distribute-rgt-out`
10×	`distribute-rgt1-in`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sum-log`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

376.0ms	(* (- b 0.5) (+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c))))))
200.0ms	(+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c)))))
40.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c)))))
18.0ms	(* x (log y))

series719.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- b 0.5) (+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c))))))
238.0ms	(+ (+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c))))) (log (sqrt (sqrt (sqrt c)))))
243.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt (sqrt c)))))
69.0ms	(* x (log y))

simplify1.8s

Counts

169 → 169

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	299	2689
1	780	2247
2	3454	1953
done	5001	1914

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	42
1	41	42
done	41	42

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.6s	27506×	body	80	nan
1.5s	9211×	body	80	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	640	valid