Details

sample427.0ms

Algorithm

intervals

Results

262.0ms	1824×	body	80	nan
54.0ms	260×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite363.0ms

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:

78.0ms	(- (+ (log (+ x y)) (log z)) t)
241.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
26.0ms	(* (- a 0.5) (log t))
15.0ms	(+ (log (+ x y)) (log z))

series706.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(- (+ (log (+ x y)) (log z)) t)
281.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
92.0ms	(* (- a 0.5) (log t))
100.0ms	(+ (log (+ x y)) (log z))

simplify870.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2557
1	724
0	275

prune2.9s

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

rewrite31.0ms

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:

15.0ms	(- (log z) t)
14.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series445.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- (log z) t)
247.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
87.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
3	3631
2	995
1	396
0	174

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.2b	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.4b	(fma (- a 0.5) (log t) (log (+ x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`prod-diff`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
17×	`associate-+r+`
12×	`pow1`
9×	`log-pow`
8×	`add-log-exp`
6×	`log-prod` `associate--l+`
4×	`fma-neg` `distribute-lft-out--`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `sub-neg` `diff-log` `fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

14.0ms	(- (log z) t)
23.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (log z) t)
139.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
141.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
3	4512
2	1047
1	388
0	171

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log z) (log (+ y x)))

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-+r+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+l+` `pow1/3`
2×	`log-div` `associate-+r-` `flip3-+` `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 z) (log (+ y x)))

series988.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt t)
285.0ms	(cbrt t)
289.0ms	(cbrt t)
116.0ms	(+ (log z) (log (+ y x)))

simplify4.7s

Counts

85 → 85

Iterations

Iter	Nodes
4	3025
3	1247
2	487
1	210
0	98

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	25
1	25
0	21

end0.0ms

sample14.4s

Algorithm

intervals

Results

9.7s	55993×	body	80	nan
1.2s	8042×	body	80	valid