Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	291×	body	80	nan
14.0ms	256×	body	80	valid

simplify807.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	188	12
4	1000	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

129.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
21.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
35.0ms	(* (+ y 0.5) (log y))

series805.0ms

Counts

3 → 9

Calls

3 calls:

350.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
69.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
386.0ms	(* (+ y 0.5) (log y))

simplify682.0ms

Counts

72 → 72

Iterations

Useful iterations: done (680.0ms)

Iter	Nodes	Cost
0	148	1008
1	389	941
2	1453	866
done	5001	853

prune198.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

27.0ms	(- x (- (* (+ y 0.5) (log y)) y))
263.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
17.0ms	(- (* (+ y 0.5) (log y)) y)
23.0ms	(* (+ y 0.5) (log y))

series1.0s

Counts

4 → 12

Calls

4 calls:

64.0ms	(- x (- (* (+ y 0.5) (log y)) y))
69.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
607.0ms	(- (* (+ y 0.5) (log y)) y)
306.0ms	(* (+ y 0.5) (log y))

simplify825.0ms

Counts

103 → 103

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	180	1399
1	455	1283
2	1734	1203
done	5001	1188

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (log (sqrt y)) (+ y 0.5)) y)
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(* (+ y 0.5) (log (sqrt y)))
0.1b	(+ (* (+ y 0.5) (log (sqrt y))) (- (* (log (sqrt y)) (+ y 0.5)) y))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `associate-+l+` `sqrt-prod`
11×	`add-log-exp`
10×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-*l/` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate-+r+` `frac-add` `associate--l+`
3×	`flip3--` `flip--`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `associate-+r-`

Counts

4 → 109

Calls

4 calls:

13.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
37.0ms	(* (log (sqrt y)) (+ y 0.5))
38.0ms	(* (+ y 0.5) (log (sqrt y)))
46.0ms	(+ (* (+ y 0.5) (log (sqrt y))) (- (* (log (sqrt y)) (+ y 0.5)) y))

series626.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
118.0ms	(* (log (sqrt y)) (+ y 0.5))
110.0ms	(* (+ y 0.5) (log (sqrt y)))
204.0ms	(+ (* (+ y 0.5) (log (sqrt y))) (- (* (log (sqrt y)) (+ y 0.5)) y))

simplify2.1s

Counts

121 → 121

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	211	2117
1	656	1961
2	3763	1698
done	5000	1691

prune453.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-l`
4×	`associate-r` `frac-add`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-+l+` `associate-+r+` `log-pow`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

30.0ms	(* (log (cbrt y)) (+ y 0.5))
46.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.3s

Counts

4 → 12

Calls

4 calls:

592.0ms	(* (log (cbrt y)) (+ y 0.5))
1.2s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
265.0ms	(cbrt y)
264.0ms	(cbrt y)

simplify1.4s

Counts

79 → 79

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	141	1106
1	433	969
2	2331	805
done	5002	777

prune435.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes105.0ms

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	10	12
1	12	12
done	12	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

878.0ms	8005×	body	80	nan
655.0ms	8026×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	160	valid