Details

sample408.0ms

Algorithm

intervals

Results

203.0ms	1886×	body	80	nan
42.0ms	257×	body	80	valid

simplify879.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

Local error

Found 3 expressions with local error:

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))

rewrite316.0ms

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×	`add-exp-log` `flip3--` `associate-l` `sum-log` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`associate-+l-` `flip3-+` `flip-+`
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 → 80

Calls

3 calls:

261.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
32.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series437.0ms

Counts

3 → 9

Calls

3 calls:

260.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
82.0ms	(* (- a 0.5) (log t))
94.0ms	(+ (log (+ x y)) (log z))

simplify958.0ms

Counts: 89 → 89

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
31×	`pow1`
30×	`distribute-lft-out`
22×	`log-pow`
20×	`cbrt-div`
12×	`cbrt-prod`
11×	`flip3-+` `flip-+`
10×	`associate-+l-` `log-div`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow-prod-down` `add-log-exp`
4×	`add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3` `sum-log`
2×	`associate-+r-` `associate-r/` `associate-l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `log-prod`

Counts

4 → 81

Calls

4 calls:

172.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
8.0ms	(cbrt (+ x y))
12.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series869.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
198.0ms	(cbrt (+ x y))
200.0ms	(cbrt (+ x y))
183.0ms	(cbrt (+ x y))

simplify1.3s

Counts: 93 → 93

prune638.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

233.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
31.0ms	(* (- a 0.5) (log (sqrt t)))
37.0ms	(* (- a 0.5) (log (sqrt t)))
21.0ms	(+ (log (+ x y)) (log z))

series573.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
71.0ms	(* (- a 0.5) (log (sqrt t)))
89.0ms	(* (- a 0.5) (log (sqrt t)))
80.0ms	(+ (log (+ x y)) (log z))

simplify945.0ms

Counts: 143 → 143

prune873.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

22.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series747.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (log (+ x y)) (log z))
215.0ms	(cbrt t)
207.0ms	(cbrt t)
209.0ms	(cbrt t)

simplify1.1s

Counts: 69 → 69

prune406.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes682.0ms

Accuracy

-5.1% (0.2b remaining)

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

bsearch0.0ms

simplify802.0ms

end0.0ms

sample12.4s

Algorithm

intervals

Results

7.1s	56617×	body	80	nan
983.0ms	8029×	body	80	valid