Details

sample214.0ms

Algorithm

intervals

Results

135.0ms	1865×	body	80	nan
18.0ms	256×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `log-pow` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`flip3-+` `associate-+l-` `flip-+` `insert-posit16`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

218.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
29.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log (+ x y)) (log z))

series392.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	2187
1	609
0	229

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(+ (- (log z) t) (* (- a 0.5) (log t)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `flip--`
5×	`associate-l`
4×	`associate-r` `frac-add` `associate-+l-` `insert-posit16`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `log-div` `sub-neg` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

12.0ms	(- (log z) t)
37.0ms	(* (- a 0.5) (log t))
100.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
42.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (log z) t)
64.0ms	(* (- a 0.5) (log t))
255.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
123.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2262
1	668
0	246

prune631.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt z)) (- (log (sqrt z)) t))
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
0.2b	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`log-prod`
19×	`add-sqr-sqrt` `add-log-exp`
16×	`sum-log`
15×	`associate-+r+` `add-cube-cbrt`
13×	`pow1`
11×	`associate-+l+`
9×	`distribute-lft-out`
7×	`log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `sqrt-prod` `flip-+`
5×	`associate-l` `distribute-lft-out--`
4×	`associate-+r-` `associate-r` `frac-add` `associate-+l-` `insert-posit16`
3×	`+-commutative` `flip3--` `diff-log` `flip--`
2×	`log-div`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

31.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
24.0ms	(* (- a 0.5) (log t))
388.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
177.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
88.0ms	(* (- a 0.5) (log t))
378.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
173.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))

simplify1.7s

Counts

127 → 127

Iterations

Iter	Nodes
done	5005
2	2629
1	748
0	268

prune937.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
0.5b	(+ (log (+ x y)) (log z))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`pow1`
12×	`associate-l`
11×	`add-log-exp`
10×	`associate-r` `log-pow` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
7×	`associate-+l+` `associate-+r+` `log-prod` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
5×	`sum-log` `distribute-lft-out`
4×	`frac-add` `insert-posit16`
3×	`flip3-+` `associate-+l-` `flip-+`
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`
1×	`associate--l+`

Counts

4 → 111

Calls

4 calls:

35.0ms	(* (log (sqrt t)) (- a 0.5))
25.0ms	(* (log (sqrt t)) (- a 0.5))
299.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
25.0ms	(+ (log (+ x y)) (log z))

series642.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (log (sqrt t)) (- a 0.5))
91.0ms	(* (log (sqrt t)) (- a 0.5))
359.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
106.0ms	(+ (log (+ x y)) (log z))

simplify1.7s

Counts

123 → 123

Iterations

Iter	Nodes
done	5009
2	2089
1	574
0	210

prune891.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample12.2s

Algorithm

intervals

Results

7.6s	57518×	body	80	nan
2.1s	8041×	body	80	valid