Details

sample67.0ms

Algorithm

intervals

Results

27.0ms	791×	body	80	nan
10.0ms	256×	body	80	valid

simplify818.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	210	11
5	306	11
6	456	11
7	619	11
8	677	11
9	688	11
done	688	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (* x (log y)) y)
66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
19.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series176.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x (log y)) y)
43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
36.0ms	(- (- (* x (log y)) y) z)
38.0ms	(* x (log y))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (463.0ms)

Iter	Nodes	Cost
0	167	1160
1	379	1097
2	1117	1042
3	4470	994
done	5000	994

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.0b	(- (- (* x (log y)) y) z)
0.2b	(* x (log y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

1.0ms	(log (sqrt t))
1.0ms	(log (sqrt t))
19.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series199.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (sqrt t))
65.0ms	(log (sqrt t))
31.0ms	(- (- (* x (log y)) y) z)
38.0ms	(* x (log y))

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	153	800
1	294	765
2	797	684
3	2838	668
done	5001	663

prune258.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (log (sqrt y)) x) y) z)
0.0b	(+ (* x (log (sqrt y))) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)))
0.2b	(* x (log (sqrt y)))
0.2b	(* (log (sqrt y)) x)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-prod`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`diff-log` `log-pow`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

21.0ms	(- (- (* (log (sqrt y)) x) y) z)
162.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)))
5.0ms	(* x (log (sqrt y)))
4.0ms	(* (log (sqrt y)) x)

series342.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (- (* (log (sqrt y)) x) y) z)
77.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)))
84.0ms	(* x (log (sqrt y)))
115.0ms	(* (log (sqrt y)) x)

simplify585.0ms

Counts

112 → 112

Iterations

Useful iterations: done (583.0ms)

Iter	Nodes	Cost
0	186	1537
1	428	1451
2	1398	1271
done	5000	1237

prune319.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

53×	`log-pow`
43×	`pow1`
34×	`sqrt-pow1`
27×	`*-un-lft-identity`
22×	`pow1/2` `associate-r` `sqrt-prod`
21×	`add-sqr-sqrt`
16×	`distribute-rgt-out`
15×	`add-cube-cbrt` `log-prod`
12×	`distribute-lft-out`
11×	`associate-l`
9×	`associate-+l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+`
4×	`distribute-lft1-in` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (sqrt y))
5.0ms	(* (log (sqrt (sqrt y))) x)
28.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
11.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (sqrt y))
180.0ms	(* (log (sqrt (sqrt y))) x)
235.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
164.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

simplify742.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	230	1390
1	597	1271
2	2153	1103
done	5000	1103

prune444.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	21	24
done	21	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

764.0ms	24117×	body	80	nan
325.0ms	8021×	body	80	valid
0.0ms	2×	body	640	valid