Details

sample820.0ms

Algorithm

intervals

Results

621.0ms	1766×	body	80	nan
27.0ms	256×	body	80	valid

simplify68.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

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

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

94.0ms	(- (+ (log (+ x y)) (log z)) t)
238.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms	(* (- a 0.5) (log t))
26.0ms	(+ (log (+ x y)) (log z))

series706.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(- (+ (log (+ x y)) (log z)) t)
308.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
67.0ms	(* (- a 0.5) (log t))
119.0ms	(+ (log (+ x y)) (log z))

simplify55.0ms

Counts: 114 → 114

prune548.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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))

rewrite81.0ms

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` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

61.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
196.0ms	(cbrt (+ x y))
181.0ms	(cbrt (+ x y))
240.0ms	(cbrt (+ x y))

simplify47.0ms

Counts: 107 → 107

prune664.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (log (cbrt (+ x y))) (log z))
0.5b	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
0.6b	(cbrt (+ x y))
6.1b	(pow (+ x y) 2/3)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
18×	`log-prod`
17×	`distribute-lft-out`
15×	`associate-+l+`
13×	`pow1`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-prod` `unpow-prod-down` `log-pow`
6×	`cbrt-div`
5×	`add-exp-log` `flip3-+` `flip-+` `add-log-exp`
4×	`associate-+l-` `log-div` `associate-+r+` `sum-log` `add-cbrt-cube`
3×	`pow-unpow`
2×	`+-commutative` `associate-+r-` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 87

Calls

4 calls:

15.0ms	(+ (log (cbrt (+ x y))) (log z))
49.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
4.0ms	(cbrt (+ x y))
10.0ms	(pow (+ x y) 2/3)

series750.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (log (cbrt (+ x y))) (log z))
259.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
183.0ms	(cbrt (+ x y))
158.0ms	(pow (+ x y) 2/3)

simplify41.0ms

Counts: 99 → 99

prune549.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (log (cbrt (+ x y))) (log z))
0.6b	(cbrt (+ x y))
6.1b	(pow (+ x y) 2/3)
6.1b	(pow (+ x y) 2/3)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `log-prod`
8×	`cbrt-prod` `unpow-prod-down` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `pow-unpow`
4×	`cbrt-div` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `flip3-+` `flip-+`
2×	`pow-to-exp` `associate-+l-` `log-div` `pow-pow` `pow-exp` `sqr-pow`
1×	`+-commutative` `pow1/3` `sum-log`

Counts

4 → 77

Calls

4 calls:

24.0ms	(+ (log (cbrt (+ x y))) (log z))
7.0ms	(cbrt (+ x y))
16.0ms	(pow (+ x y) 2/3)
17.0ms	(pow (+ x y) 2/3)

series675.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (log (cbrt (+ x y))) (log z))
165.0ms	(cbrt (+ x y))
195.0ms	(pow (+ x y) 2/3)
189.0ms	(pow (+ x y) 2/3)

simplify54.0ms

Counts: 89 → 89

prune636.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

-0.5% (0.2b remaining)

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

bsearch0.0ms

simplify51.0ms

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.9s	56459×	body	80	nan
962.0ms	8029×	body	80	valid