Details

sample330.0ms

Algorithm

intervals

Results

228.0ms	1924×	body	80	nan
28.0ms	259×	body	80	valid

simplify2.4s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `log-pow` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`flip3-+` `associate-+l-` `flip-+` `insert-posit16`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

Slowest

140.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
31.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series447.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

284.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
96.0ms	(+ (log (+ x y)) (log z))
66.0ms	(* (- a 0.5) (log t))

simplify785.0ms

Counts: 92 → 92

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `flip--`
5×	`associate-l`
4×	`associate-r` `frac-add` `associate-+l-` `insert-posit16`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `log-div` `sub-neg` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

Slowest

89.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
28.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
6.0ms	(- (log z) t)

series608.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

312.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
115.0ms	(- (log z) t)
106.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
75.0ms	(* (- a 0.5) (log t))

simplify1.0s

Counts: 114 → 114

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
25×	`add-log-exp`
20×	`frac-add` `associate-*r/`
19×	`pow1`
18×	`add-sqr-sqrt` `distribute-lft-out`
17×	`sum-log`
16×	`flip3--` `flip--`
13×	`log-pow`
12×	`associate-l`
10×	`associate-r` `add-cube-cbrt`
9×	`associate-+l+`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
7×	`log-prod`
5×	`sub-neg` `flip3-+` `flip-+`
4×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-+l-` `insert-posit16`
3×	`associate--l+`
2×	`+-commutative` `log-div` `associate-+r+` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-`

Counts

4 → 129

Calls

4 calls:

Slowest

124.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5)))))
45.0ms	(+ (- (log z) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
35.0ms	(* (log (sqrt t)) (- a 0.5))
32.0ms	(* (log (sqrt t)) (- a 0.5))

series874.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

451.0ms	(+ (log (+ x y)) (+ (- (log z) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5)))))
239.0ms	(+ (- (log z) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
96.0ms	(* (log (sqrt t)) (- a 0.5))
88.0ms	(* (log (sqrt t)) (- a 0.5))

simplify1.8s

Counts: 141 → 141

prune2.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(* (cbrt (+ x y)) (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×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 99

Calls

4 calls:

Slowest

33.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series843.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
205.0ms	(cbrt (+ x y))
201.0ms	(cbrt (+ x y))
186.0ms	(cbrt (+ x y))

simplify1.9s

Counts: 111 → 111

prune2.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample14.3s

Algorithm

intervals

Results

8.9s	55575×	body	80	nan
1.7s	8032×	body	80	valid