Details

sample716.0ms

Algorithm

intervals

Results

341.0ms	256×	body	80	valid
269.0ms	1818×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
7	3522
6	1815
5	983
4	411
3	155
2	61
1	27
0	15

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

206.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
29.0ms	(* (- a 0.5) (log t))
16.0ms	(+ (log (+ x y)) (log z))

series410.0ms

Counts

3 → 9

Calls

3 calls:

241.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
91.0ms	(* (- a 0.5) (log t))
77.0ms	(+ (log (+ x y)) (log z))

simplify693.0ms

Counts

129 → 129

Iterations

Iter	Nodes
2	2370
1	661
0	243

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
75×	`prod-diff`
68×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
33×	`distribute-rgt-in` `pow1` `distribute-lft-in`
28×	`associate-+l+`
27×	`log-pow`
25×	`associate-+r+`
21×	`distribute-lft-out`
13×	`fma-def`
12×	`associate-l`
11×	`add-log-exp`
10×	`associate-r`
8×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
7×	`log-prod` `sub-neg` `distribute-lft-out--`
6×	`flip3--` `flip--`
5×	`sum-log`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`flip3-+` `associate-+l-` `flip-+` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l+`

Counts

4 → 203

Calls

4 calls:

137.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
34.0ms	(* (log (sqrt t)) (- a 0.5))
18.0ms	(* (log (sqrt t)) (- a 0.5))
8.0ms	(+ (log (+ x y)) (log z))

series604.0ms

Counts

4 → 12

Calls

4 calls:

347.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
93.0ms	(* (log (sqrt t)) (- a 0.5))
77.0ms	(* (log (sqrt t)) (- a 0.5))
86.0ms	(+ (log (+ x y)) (log z))

simplify855.0ms

Counts

215 → 215

Iterations

Iter	Nodes
2	2644
1	779
0	292

prune3.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
18×	`associate-+r+`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
9×	`cbrt-prod` `log-pow`
7×	`log-prod` `distribute-lft-out`
6×	`add-log-exp`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `associate--l+` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate-+l+` `pow1/3`
2×	`sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(+ (log z) (- (log (+ y x)) t))
274.0ms	(cbrt t)
259.0ms	(cbrt t)
273.0ms	(cbrt t)

simplify811.0ms

Counts

97 → 97

Iterations

Iter	Nodes
3	2385
2	640
1	260
0	122

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (log z) (- (log (+ y x)) t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `associate-+r+` `add-cube-cbrt`
14×	`pow1`
12×	`prod-diff`
9×	`log-pow`
7×	`log-prod` `distribute-lft-out`
6×	`cbrt-prod` `add-log-exp`
5×	`add-exp-log`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `associate--l+` `log1p-expm1-u` `distribute-lft-out--`
3×	`pow-unpow` `associate-+l+` `unpow-prod-down`
2×	`sum-log` `pow1/3`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `pow-pow` `flip3-+` `unpow1/3` `diff-log` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

40.0ms	(+ (log z) (- (log (+ y x)) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

275.0ms	(+ (log z) (- (log (+ y x)) t))
334.0ms	(cbrt t)
283.0ms	(cbrt t)
293.0ms	(pow t 1/3)

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	2733
2	759
1	319
0	151

prune2.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	17

end0.0ms

sample14.7s

Algorithm

intervals

Results

10.1s	56885×	body	80	nan
1.4s	8044×	body	80	valid