Details

sample483.0ms

Algorithm

intervals

Results

331.0ms	1965×	body	80	nan
41.0ms	257×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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

rewrite290.0ms

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:

52.0ms	(- (+ (log (+ x y)) (log z)) t)
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
30.0ms	(* (- a 0.5) (log t))
15.0ms	(+ (log (+ x y)) (log z))

series644.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(- (+ (log (+ x y)) (log z)) t)
285.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
85.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5014
2	2294
1	641
0	244

prune831.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (log (+ y x)) (log (+ y x)))
0.4b	(* (log (+ y x)) (log (+ y x)))
0.5b	(* (log z) (log z))
0.5b	(- (log z) (log (+ y x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
29×	`log-prod`
24×	`add-cube-cbrt`
22×	`log-pow`
18×	`swap-sqr`
12×	`associate-r` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out`
4×	`insert-posit16` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `associate--l+` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
2×	`log-div` `associate--r-`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

14.0ms	(* (log (+ y x)) (log (+ y x)))
23.0ms	(* (log (+ y x)) (log (+ y x)))
25.0ms	(* (log z) (log z))
18.0ms	(- (log z) (log (+ y x)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (log (+ y x)) (log (+ y x)))
270.0ms	(* (log (+ y x)) (log (+ y x)))
224.0ms	(* (log z) (log z))
99.0ms	(- (log z) (log (+ y x)))

simplify2.6s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
3	2616
2	1128
1	364
0	145

prune983.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

132×	`pow1`
37×	`pow-prod-up`
32×	`*-un-lft-identity`
29×	`log-prod`
24×	`pow-prod-down`
23×	`pow-sqr`
20×	`add-sqr-sqrt`
19×	`distribute-rgt-in` `distribute-lft-in` `pow-plus`
18×	`add-cbrt-cube` `add-exp-log`
16×	`add-cube-cbrt`
14×	`pow2`
10×	`log-pow`
9×	`prod-exp` `cbrt-unprod`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `distribute-lft-out`
4×	`insert-posit16` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+`
2×	`log-div` `*-commutative` `associate--r-` `unswap-sqr`
1×	`cbrt-prod` `sub-neg` `flip3-+` `flip3--` `pow1/3` `diff-log` `pow3` `rem-cbrt-cube` `flip-+` `flip--` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

48.0ms	(* (* (log (+ y x)) (log (+ y x))) (* (log (+ y x)) (log (+ y x))))
7.0ms	(* (log z) (log z))
9.0ms	(- (log z) (log (+ y x)))
89.0ms	(cbrt (* (* (* (log (+ y x)) (log (+ y x))) (* (log (+ y x)) (log (+ y x)))) (* (log (+ y x)) (log (+ y x)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (* (log (+ y x)) (log (+ y x))) (* (log (+ y x)) (log (+ y x))))
210.0ms	(* (log z) (log z))
88.0ms	(- (log z) (log (+ y x)))
214.0ms	(cbrt (* (* (* (log (+ y x)) (log (+ y x))) (* (log (+ y x)) (log (+ y x)))) (* (log (+ y x)) (log (+ y x)))))

simplify2.2s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
3	2326
2	1115
1	482
0	190

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
9.0ms	(+ (log (+ x y)) (log z))

series917.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt t)
267.0ms	(cbrt t)
263.0ms	(cbrt t)
119.0ms	(+ (log (+ x y)) (log z))

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	3245
3	1264
2	498
1	192
0	94

prune526.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample12.0s

Algorithm

intervals

Results

8.1s	56003×	body	80	nan
1.1s	8026×	body	80	valid