Details

sample337.0ms

Algorithm

intervals

Results

208.0ms	1748×	body	80	nan
25.0ms	256×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

45.0ms	(- (+ (log (+ x y)) (log z)) t)
190.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
36.0ms	(* (- a 0.5) (log t))
10.0ms	(+ (log (+ x y)) (log z))

series574.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(- (+ (log (+ x y)) (log z)) t)
232.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
77.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2283
1	637
0	240

prune791.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.6b	(+ (log (+ x y)) (log z))

rewrite886.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

798.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
36.0ms	(* (log (sqrt t)) (- a 0.5))
29.0ms	(* (log (sqrt t)) (- a 0.5))
16.0ms	(+ (log (+ x y)) (log z))

series594.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
80.0ms	(* (log (sqrt t)) (- a 0.5))
79.0ms	(* (log (sqrt t)) (- a 0.5))
90.0ms	(+ (log (+ x y)) (log z))

simplify3.0s

Counts

126 → 126

Iterations

Iter	Nodes
done	5006
2	4019
1	920
0	272

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite731.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

456.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))) (* (- 0.5) (log (sqrt t))))
66.0ms	(+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))
99.0ms	(+ (log (+ y x)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a))))
105.0ms	(* (log (sqrt t)) (+ (- a 0.5) a))

series980.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))) (* (- 0.5) (log (sqrt t))))
201.0ms	(+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))
333.0ms	(+ (log (+ y x)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a))))
90.0ms	(* (log (sqrt t)) (+ (- a 0.5) a))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	2938
1	781
0	257

prune936.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (+ (+ (* (- a 0.5) (log (cbrt t))) (* (- a 0.5) (log (cbrt t)))) (log (+ y x))) (- (log z) t)) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
20×	`frac-add`
19×	`sum-log`
15×	`cbrt-prod`
12×	`associate-+r+` `log-prod` `associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`flip3-+` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l-`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-+r-` `pow1/3` `diff-log`
2×	`log-div`
1×	`+-commutative` `associate-+l+`

Counts

4 → 78

Calls

4 calls:

1.4s	(+ (+ (+ (+ (* (- a 0.5) (log (cbrt t))) (* (- a 0.5) (log (cbrt t)))) (log (+ y x))) (- (log z) t)) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series920.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (+ (+ (+ (* (- a 0.5) (log (cbrt t))) (* (- a 0.5) (log (cbrt t)))) (log (+ y x))) (- (log z) t)) (* (- a 0.5) (log (cbrt t))))
247.0ms	(cbrt t)
259.0ms	(cbrt t)
228.0ms	(cbrt t)

simplify2.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	4416
1	941
0	268

prune861.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	34
3	34
2	33
1	29
0	20

end0.0ms

sample10.6s

Algorithm

intervals

Results

6.6s	55030×	body	80	nan
1.2s	8030×	body	80	valid