Details

sample438.0ms

Algorithm

intervals

Results

281.0ms	1692×	body	80	nan
44.0ms	259×	body	80	valid

simplify369.0ms

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 3 expressions with local error:

0.4b	(fma (- a 0.5) (log t) (log z))
0.1b	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0b	(- (log (+ y x)) t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

Slowest

52.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
12.0ms	(- (log (+ y x)) t)
0.0ms	(fma (- a 0.5) (log t) (log z))

series479.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

230.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
136.0ms	(- (log (+ y x)) t)
113.0ms	(fma (- a 0.5) (log t) (log z))

simplify439.0ms

Counts: 114 → 104

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

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:

Slowest

187.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
40.0ms	(- (+ (log (+ x y)) (log z)) t)
20.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series609.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
226.0ms	(- (+ (log (+ x y)) (log z)) t)
84.0ms	(+ (log (+ x y)) (log z))
63.0ms	(* (- a 0.5) (log t))

simplify379.0ms

Counts: 211 → 188

prune3.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (- a 0.5) (log t) (log z))
0.1b	(+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))
0.1b	(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
0.0b	(log (sqrt (+ y x)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
34×	`associate-+l+`
23×	`add-sqr-sqrt` `log-pow`
22×	`pow1`
21×	`log-prod` `add-cube-cbrt`
20×	`distribute-lft-out`
18×	`prod-diff`
13×	`add-log-exp`
12×	`fma-def` `sqrt-prod`
8×	`distribute-lft-out--`
7×	`sum-log` `associate--l+`
5×	`sqrt-pow1` `pow1/2` `add-exp-log`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-+r+` `diff-log` `fma-udef`
1×	`associate-+r-` `sub-neg` `rem-log-exp` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

Slowest

98.0ms	(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
58.0ms	(+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))
4.0ms	(log (sqrt (+ y x)))
0.0ms	(fma (- a 0.5) (log t) (log z))

series884.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

324.0ms	(+ (log (sqrt (+ y x))) (+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z))))
322.0ms	(+ (- (log (sqrt (+ y x))) t) (fma (- a 0.5) (log t) (log z)))
119.0ms	(fma (- a 0.5) (log t) (log z))
118.0ms	(log (sqrt (+ y x)))

simplify1.3s

Counts: 138 → 140

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.5b	(+ (log (+ x y)) (log z))

rewrite22.0ms

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:

Slowest

17.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series985.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(cbrt t)
307.0ms	(cbrt t)
268.0ms	(cbrt t)
100.0ms	(+ (log (+ x y)) (log z))

simplify605.0ms

Counts: 88 → 85

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample15.1s

Algorithm

intervals

Results

10.9s	56222×	body	80	nan
1.6s	8034×	body	80	valid