Details

sample425.0ms

Algorithm

intervals

Results

297.0ms	1876×	body	80	nan
38.0ms	256×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
7	3740
6	1508
5	890
4	374
3	147
2	59
1	27
0	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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))

rewrite246.0ms

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-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

51.0ms	(- (+ (log (+ x y)) (log z)) t)
164.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
17.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series761.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(- (+ (log (+ x y)) (log z)) t)
306.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
100.0ms	(* (- a 0.5) (log t))
104.0ms	(+ (log (+ x y)) (log z))

simplify853.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2260
1	640
0	244

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b	(+ (log (sqrt (+ x y))) (log z))

rewrite810.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

729.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
28.0ms	(* (- a 0.5) (log t))
38.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
13.0ms	(+ (log (sqrt (+ x y))) (log z))

series888.0ms

Counts

4 → 12

Calls

4 calls:

451.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
88.0ms	(* (- a 0.5) (log t))
185.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
162.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify1.1s

Counts

134 → 134

Iterations

Iter	Nodes
2	2832
1	803
0	292

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b	(+ (log (sqrt (+ x y))) (log z))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
41×	`log-prod`
29×	`add-sqr-sqrt` `pow1`
24×	`distribute-lft-out`
23×	`log-pow`
21×	`add-cube-cbrt`
20×	`sqrt-prod`
14×	`associate-+l+`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
10×	`associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`log-div` `sqrt-div` `associate-+l-`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-+r+` `sum-log` `associate-*l/` `insert-posit16`
2×	`+-commutative` `associate-+r-` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

21.0ms	(* (- a 0.5) (log (sqrt t)))
21.0ms	(* (- a 0.5) (log (sqrt t)))
35.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
16.0ms	(+ (log (sqrt (+ x y))) (log z))

series526.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- a 0.5) (log (sqrt t)))
88.0ms	(* (- a 0.5) (log (sqrt t)))
194.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
157.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify3.7s

Counts

151 → 151

Iterations

Iter	Nodes
3	6649
2	1556
1	538
0	228

prune3.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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

rewrite545.0ms

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:

6.0ms	(- (log z) t)
29.0ms	(* (- a 0.5) (log t))
453.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
55.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (log z) t)
73.0ms	(* (- a 0.5) (log t))
286.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
118.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify858.0ms

Counts

114 → 114

Iterations

Iter	Nodes
2	2237
1	667
0	246

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes952.0ms

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
2	24
1	24
0	19

end0.0ms

sample14.3s

Algorithm

intervals

Results

9.3s	56771×	body	80	nan
1.3s	8028×	body	80	valid