Details

sample342.0ms

Algorithm

intervals

Results

236.0ms	1637×	body	80	nan
33.0ms	259×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune17.0ms

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

rewrite178.0ms

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-+` `insert-posit16` `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 → 123

Calls

3 calls:

151.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series393.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
77.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify667.0ms

Counts

132 → 132

Iterations

Iter	Nodes
2	2372
1	665
0	246

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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:

13.0ms	(- (log z) t)
16.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
1.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series416.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (log z) t)
231.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
86.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
3	3644
2	996
1	397
0	174

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.3b	(fma (- a 0.5) (log t) (log (+ x y)))

rewrite52.0ms

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:

15.0ms	(- (log z) t)
29.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
6.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

series340.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (log z) t)
107.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
146.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
3	4478
2	1047
1	389
0	171

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

40.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series773.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
164.0ms	(cbrt (+ x y))
201.0ms	(cbrt (+ x y))
174.0ms	(cbrt (+ x y))

simplify2.4s

Counts

119 → 119

Iterations

Iter	Nodes
4	4787
3	1773
2	709
1	278
0	122

prune2.2s

Pruning

11 alts after pruning (8 fresh and 3 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

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample14.2s

Algorithm

intervals

Results

8.9s	55597×	body	80	nan
1.8s	8033×	body	80	valid