Details

sample160.0ms

Algorithm

intervals

Results

64.0ms	808×	body	80	nan
20.0ms	257×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

7.0ms	(- (* x (log y)) z)
70.0ms	(+ (- (* x (log y)) z) (- (log t) y))
6.0ms	(- (log t) y)
7.0ms	(* x (log y))

series259.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x (log y)) z)
64.0ms	(+ (- (* x (log y)) z) (- (log t) y))
74.0ms	(- (log t) y)
47.0ms	(* x (log y))

simplify886.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2085
1	483
0	186

prune771.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(- y (log t))
150.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) (- y (log t))))
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)

series494.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- y (log t))
138.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) (- y (log t))))
155.0ms	(* (log (sqrt y)) x)
160.0ms	(* (log (sqrt y)) x)

simplify657.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1359
1	358
0	144

prune642.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`associate-+l+` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-+r+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

16.0ms	(* x (log (cbrt y)))
38.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series807.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* x (log (cbrt y)))
153.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
250.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1755
1	423
0	157

prune900.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt y)
260.0ms	(cbrt y)
284.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	3236
4	853
3	326
2	113
1	44
0	24

prune526.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	24128×	body	80	nan
733.0ms	8013×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid