Details

sample323.0ms

Algorithm

intervals

Results

226.0ms	1967×	body	80	nan
28.0ms	256×	body	80	valid

simplify2.6s

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

localize31.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite220.0ms

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:

36.0ms	(- (+ (log (+ x y)) (log z)) t)
133.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
32.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (log z))

series690.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(- (+ (log (+ x y)) (log z)) t)
299.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
66.0ms	(* (- a 0.5) (log t))
103.0ms	(+ (log (+ x y)) (log z))

simplify734.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2266
1	641
0	244

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite19.0ms

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:

15.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series848.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (log (+ x y)) (log z))
248.0ms	(cbrt t)
255.0ms	(cbrt t)
241.0ms	(cbrt t)

simplify2.4s

Counts

73 → 73

Iterations

Iter	Nodes
4	2548
3	1201
2	476
1	192
0	94

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

17.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series978.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (log (+ x y)) (log z))
297.0ms	(cbrt t)
268.0ms	(cbrt t)
306.0ms	(pow t 1/3)

simplify3.0s

Counts

80 → 80

Iterations

Iter	Nodes
4	3618
3	1545
2	604
1	248
0	122

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

12.0ms	(* (log (+ y x)) (log (+ y x)))
28.0ms	(* (log (+ y x)) (log (+ y x)))
15.0ms	(* (log z) (log z))
16.0ms	(- (log z) (log (+ y x)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (log (+ y x)) (log (+ y x)))
279.0ms	(* (log (+ y x)) (log (+ y x)))
271.0ms	(* (log z) (log z))
103.0ms	(- (log z) (log (+ y x)))

simplify1.1s

Counts

154 → 154

Iterations

Iter	Nodes
3	2076
2	819
1	346
0	145

prune2.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	22

end0.0ms

sample13.9s

Algorithm

intervals

Results

9.8s	55656×	body	80	nan
1.2s	8020×	body	80	valid