Details

sample265.0ms

Algorithm

intervals

Results

125.0ms	1748×	body	80	nan
50.0ms	256×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3467
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

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))

rewrite653.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

88.0ms	(- (+ (log (+ x y)) (log z)) t)
526.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
18.0ms	(* (- a 0.5) (log t))
10.0ms	(+ (log (+ x y)) (log z))

series582.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(- (+ (log (+ x y)) (log z)) t)
209.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
97.0ms	(+ (log (+ x y)) (log z))

simplify2.3s

Counts

184 → 184

Iterations

Iter	Nodes
done	5004
2	2615
1	743
0	271

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
34×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
24×	`associate-*l/` `add-cube-cbrt`
20×	`frac-add`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
17×	`pow1`
16×	`flip3--` `flip--` `add-log-exp`
15×	`associate-+r+`
12×	`associate-r`
11×	`log-pow`
10×	`associate-l`
9×	`sum-log`
8×	`add-cbrt-cube` `add-exp-log`
7×	`fma-def`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l-` `log1p-expm1-u`
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`

Counts

4 → 153

Calls

4 calls:

1.1s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
34.0ms	(* (- a 0.5) (log (sqrt t)))
20.0ms	(* (- a 0.5) (log (sqrt t)))
10.0ms	(+ (log (+ x y)) (log z))

series678.0ms

Counts

4 → 12

Calls

4 calls:

421.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
67.0ms	(* (- a 0.5) (log (sqrt t)))
80.0ms	(* (- a 0.5) (log (sqrt t)))
110.0ms	(+ (log (+ x y)) (log z))

simplify3.0s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	4477
1	1036
0	313

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
10.0ms	(+ (log (+ x y)) (log z))

series965.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt t)
290.0ms	(cbrt t)
309.0ms	(cbrt t)
84.0ms	(+ (log (+ x y)) (log z))

simplify2.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
4	3969
3	1398
2	523
1	200
0	96

prune883.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

6.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
6.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
9.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
20.0ms	(+ (log (+ x y)) (log z))

series648.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
173.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
175.0ms	(cbrt (* (- a 0.5) (log (sqrt t))))
108.0ms	(+ (log (+ x y)) (log z))

simplify2.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	2540
2	889
1	353
0	152

prune842.0ms

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
done	23
1	23
0	18

end0.0ms

sample11.4s

Algorithm

intervals

Results

7.2s	55030×	body	80	nan
1.4s	8030×	body	80	valid