Details

sample426.0ms

Algorithm

intervals

Results

221.0ms	1853×	body	80	nan
28.0ms	257×	body	80	valid

simplify9.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

312.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
48.0ms	(* (- a 0.5) (log t))
27.0ms	(+ (log (+ x y)) (log z))

series503.0ms

Counts

3 → 9

Calls

3 calls:

329.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
83.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	241	1955
1	642	1788
2	2247	1559
done	5001	1530

prune660.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
57×	`prod-diff`
56×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
37×	`pow1`
31×	`log-pow` `distribute-lft-out`
28×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
21×	`add-log-exp`
20×	`associate-*r/` `frac-add`
16×	`flip3--` `flip--`
13×	`fma-def`
12×	`associate-l` `sum-log` `distribute-lft-out--`
10×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-prod`
5×	`sub-neg` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-+r+` `diff-log` `log1p-expm1-u`
3×	`associate-+l-` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l+`

Counts

4 → 199

Calls

4 calls:

447.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
51.0ms	(* (log (sqrt t)) (- a 0.5))
51.0ms	(* (log (sqrt t)) (- a 0.5))
37.0ms	(+ (log (+ x y)) (log z))

series645.0ms

Counts

4 → 12

Calls

4 calls:

369.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
72.0ms	(* (log (sqrt t)) (- a 0.5))
84.0ms	(* (log (sqrt t)) (- a 0.5))
119.0ms	(+ (log (+ x y)) (log z))

simplify2.5s

Counts

211 → 211

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	338	5269
1	958	4053
2	4093	3442
done	5000	3432

prune865.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
43×	`pow1`
37×	`add-sqr-sqrt`
35×	`log-prod`
31×	`add-cube-cbrt`
25×	`log-pow`
17×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr` `associate--l+`
9×	`associate--r+`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`fma-neg` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate--l-` `pow2` `sub-neg` `log-div` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

28.0ms	(* (log (+ x y)) (log (+ x y)))
11.0ms	(* (log z) (log z))
31.0ms	(- (log (+ x y)) (log z))
36.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (log (+ x y)) (log (+ x y)))
292.0ms	(* (log z) (log z))
135.0ms	(- (log (+ x y)) (log z))
250.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify1.7s

Counts

169 → 169

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	2368
1	432	1884
2	1209	1561
done	5001	1431

prune788.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
0.5b	(- (log z) (log (+ x y)))
0.7b	(pow (log (+ x y)) 3)
0.7b	(pow (log z) 3)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
41×	`pow1`
35×	`log-pow`
28×	`unpow-prod-down` `cube-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`distribute-lft-out`
16×	`prod-diff`
14×	`fma-def`
7×	`log-prod`
6×	`add-exp-log` `pow-unpow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate--r+` `distribute-lft-out--`
3×	`cube-mult` `unpow3` `associate--l+` `sqr-pow`
2×	`pow-to-exp` `log-div` `pow-pow` `flip3-+` `pow-exp` `flip-+` `associate--r-` `rem-cube-cbrt`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `sum-cubes` `flip--` `difference-of-squares`

Counts

4 → 147

Calls

4 calls:

43.0ms	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
24.0ms	(- (log z) (log (+ x y)))
7.0ms	(pow (log (+ x y)) 3)
20.0ms	(pow (log z) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

436.0ms	(+ (pow (log (+ x y)) 3) (pow (log z) 3))
112.0ms	(- (log z) (log (+ x y)))
462.0ms	(pow (log (+ x y)) 3)
298.0ms	(pow (log z) 3)

simplify2.1s

Counts

159 → 159

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	196	1989
1	487	1535
2	1671	1350
done	5000	1257

prune930.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes760.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	41
1	24	41
done	24	41

end0.0ms

sample12.7s

Algorithm

intervals

Results

7.4s	55691×	body	80	nan
1.1s	8028×	body	80	valid