Details

sample334.0ms

Algorithm

intervals

Results

235.0ms	1920×	body	80	nan
27.0ms	256×	body	80	valid

simplify2.7s

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

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)

rewrite270.0ms

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

164.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(- (+ (log (+ x y)) (log z)) t)
32.0ms	(* (- a 0.5) (log t))
16.0ms	(+ (log (+ x y)) (log z))

series655.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

260.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
231.0ms	(- (+ (log (+ x y)) (log z)) t)
89.0ms	(+ (log (+ x y)) (log z))
75.0ms	(* (- a 0.5) (log t))

simplify973.0ms

Counts: 188 → 188

prune2.8s

Pruning

13 alts after pruning (13 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)))

rewrite35.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 107

Calls

4 calls:

Slowest

24.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series816.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
192.0ms	(cbrt (+ x y))
173.0ms	(cbrt (+ x y))
172.0ms	(cbrt (+ x y))

simplify2.8s

Counts: 119 → 119

prune2.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

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))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
18×	`log-prod`
17×	`distribute-lft-out`
15×	`associate-+l+`
14×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
11×	`log-pow`
9×	`fma-def`
8×	`cbrt-prod` `unpow-prod-down`
6×	`cbrt-div`
5×	`flip3-+` `add-exp-log` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `log-div` `associate-+r+` `sum-log` `add-cbrt-cube` `associate-+l-` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`+-commutative` `associate-+r-` `pow1/3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 108

Calls

4 calls:

Slowest

41.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
14.0ms	(pow (+ x y) 2/3)
10.0ms	(+ (log (cbrt (+ x y))) (log z))
5.0ms	(cbrt (+ x y))

series835.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

281.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (cbrt (+ x y))) (log z)))
210.0ms	(cbrt (+ x y))
202.0ms	(pow (+ x y) 2/3)
142.0ms	(+ (log (cbrt (+ x y))) (log z))

simplify809.0ms

Counts: 120 → 120

prune2.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

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))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
19×	`log-prod`
16×	`associate-+l+` `unpow-prod-down`
15×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`pow1` `fma-def`
6×	`pow-unpow` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-+r+` `sum-log` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `sqr-pow`
2×	`pow-to-exp` `+-commutative` `pow-pow` `flip3-+` `pow-exp` `flip-+`
1×	`unpow1/3`

Counts

4 → 105

Calls

4 calls:

Slowest

24.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (pow (+ x y) 1/3)) (log z)))
22.0ms	(+ (log (pow (+ x y) 1/3)) (log z))
14.0ms	(pow (+ x y) 2/3)
8.0ms	(pow (+ x y) 1/3)

series730.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

191.0ms	(+ (log (pow (+ x y) 2/3)) (+ (log (pow (+ x y) 1/3)) (log z)))
183.0ms	(pow (+ x y) 2/3)
180.0ms	(pow (+ x y) 1/3)
176.0ms	(+ (log (pow (+ x y) 1/3)) (log z))

simplify956.0ms

Counts: 117 → 117

prune2.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample13.9s

Algorithm

intervals

Results

9.6s	56473×	body	80	nan
1.6s	8031×	body	80	valid