Details

sample386.0ms

Algorithm

intervals

Results

239.0ms	1920×	body	80	nan
59.0ms	256×	body	80	valid

simplify2.5s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

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×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

Slowest

113.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(- (+ (log (+ x y)) (log z)) t)
16.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (log (+ x y)) (log z))

series697.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(- (+ (log (+ x y)) (log z)) t)
256.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
101.0ms	(+ (log (+ x y)) (log z))
76.0ms	(* (- a 0.5) (log t))

simplify916.0ms

Counts: 118 → 118

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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

46.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series784.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
211.0ms	(cbrt (+ x y))
173.0ms	(cbrt (+ x y))
162.0ms	(cbrt (+ x y))

simplify2.5s

Counts: 111 → 111

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

6.0b	(pow (+ x y) 2/3)
0.6b	(cbrt (+ x y))
0.4b	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
0.4b	(+ (log (cbrt (+ x y))) (log z))

rewrite47.0ms

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×	`flip3-+` `add-exp-log` `flip-+` `add-log-exp`
4×	`log-div` `associate-+r+` `sum-log` `add-cbrt-cube` `associate-+l-` `insert-posit16`
3×	`pow-unpow`
2×	`+-commutative` `associate-+r-` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 91

Calls

4 calls:

Slowest

27.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
11.0ms	(+ (log (cbrt (+ x y))) (log z))
6.0ms	(pow (+ x y) 2/3)
2.0ms	(cbrt (+ x y))

series773.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

242.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
193.0ms	(pow (+ x y) 2/3)
192.0ms	(cbrt (+ x y))
145.0ms	(+ (log (cbrt (+ x y))) (log z))

simplify790.0ms

Counts: 103 → 103

prune2.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

6.0b	(pow (+ x y) 2/3)
5.1b	(pow (+ x y) 1/3)
0.4b	(+ (log (pow (+ x y) 2/3)) (+ (log (pow (+ x y) 1/3)) (log z)))
0.4b	(+ (log (pow (+ x y) 1/3)) (log z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
19×	`log-prod`
16×	`associate-+l+` `unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`pow1`
6×	`pow-unpow` `add-exp-log`
5×	`add-log-exp`
4×	`associate-+r+` `sum-log` `add-cbrt-cube` `insert-posit16` `sqr-pow`
2×	`pow-to-exp` `+-commutative` `pow-pow` `flip3-+` `pow-exp` `log-pow` `flip-+`
1×	`unpow1/3`

Counts

4 → 89

Calls

4 calls:

Slowest

39.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (pow (+ x y) 1/3)) (log z)))
17.0ms	(+ (log (pow (+ x y) 1/3)) (log z))
13.0ms	(pow (+ x y) 2/3)
12.0ms	(pow (+ x y) 1/3)

series743.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

213.0ms	(pow (+ x y) 1/3)
197.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (pow (+ x y) 1/3)) (log z)))
176.0ms	(pow (+ x y) 2/3)
157.0ms	(+ (log (pow (+ x y) 1/3)) (log z))

simplify785.0ms

Counts: 101 → 101

prune1.8s

Pruning

11 alts after pruning (9 fresh and 2 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

bsearch6.0ms

end0.0ms

sample15.0s

Algorithm

intervals

Results

9.8s	56473×	body	80	nan
1.8s	8031×	body	80	valid