Details

sample339.0ms

Algorithm

intervals

Results

212.0ms	1965×	body	80	nan
26.0ms	257×	body	80	valid

simplify4.5s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

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))

rewrite265.0ms

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-+` `insert-posit16` `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 → 176

Calls

4 calls:

61.0ms	(- (+ (log (+ x y)) (log z)) t)
164.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series638.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(- (+ (log (+ x y)) (log z)) t)
267.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
71.0ms	(* (- a 0.5) (log t))
97.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

188 → 188

Iterations

Iter	Nodes
done	5000
2	2589
1	747
0	275

prune919.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.2b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `associate--l+` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

8.0ms	(- (log z) t)
20.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series463.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (log z) t)
259.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
85.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify2.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4025
2	1123
1	415
0	174

prune582.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (+ x y)))
0.1b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t))))
0.1b	(+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t)))
0.2b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
16×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`associate-+l+`
12×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `sqrt-prod`
8×	`log-div` `sqrt-div`
7×	`add-log-exp`
6×	`flip3-+` `associate-+l-` `flip-+`
5×	`add-exp-log`
4×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-pow1` `pow1/2`
2×	`+-commutative` `associate-+r+` `associate-+r-` `fma-udef`
1×	`rem-log-exp`

Counts

4 → 105

Calls

4 calls:

8.0ms	(log (sqrt (+ x y)))
28.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t))))
18.0ms	(+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series693.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log (sqrt (+ x y)))
266.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t))))
255.0ms	(+ (log (sqrt (+ x y))) (fma (log t) (- a 0.5) (- (log z) t)))
88.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1434
1	489
0	195

prune720.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

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

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

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

series859.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt t)
276.0ms	(cbrt t)
199.0ms	(cbrt t)
76.0ms	(+ (log (+ x y)) (log z))

simplify2.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	4117
3	1428
2	525
1	202
0	98

prune670.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes944.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample11.8s

Algorithm

intervals

Results

7.0s	56003×	body	80	nan
2.2s	8026×	body	80	valid