Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	57×	body	640	valid
13.0ms	140×	body	80	valid
10.0ms	36×	body	320	valid
7.0ms	14×	body	1280	valid
2.0ms	9×	body	160	valid

simplify211.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
715×	`times-frac`
544×	`add-sqr-sqrt`
494×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
72×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 648

Calls

4 calls:

Slowest

199.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
66.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
12.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (+ x 1))

series197.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
29.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
20.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (+ x 1))

simplify1.4s

Counts: 660 → 660

prune7.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (pow x 5))
0.2b	(/ 2 (pow x 7))
0.2b	(/ 2 (* x (* x x)))
0.1b	(* x (* x x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`pow1`
15×	`associate-/r*`
9×	`div-exp` `associate-/l*`
8×	`sqr-pow`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv`
2×	`pow-to-exp` `pow-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

Slowest

27.0ms	(* x (* x x))
25.0ms	(/ 2 (* x (* x x)))
5.0ms	(/ 2 (pow x 5))
5.0ms	(/ 2 (pow x 7))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(/ 2 (pow x 7))
96.0ms	(/ 2 (pow x 5))
51.0ms	(* x (* x x))
49.0ms	(/ 2 (* x (* x x)))

simplify2.4s

Counts: 161 → 161

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (pow x 5))
0.2b	(/ 2 (pow x 7))
0.1b	(/ (/ 2 x) (* x x))
0.0b	(+ (/ (/ 2 x) (* x x)) (+ (/ 2 (pow x 5)) (/ 2 (pow x 7))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

95×	`times-frac`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`add-exp-log`
24×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`associate-/l*`
17×	`fma-def`
15×	`associate-/r*`
12×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv` `sqr-pow`
7×	`div-inv`
4×	`expm1-log1p-u` `pow1` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `sum-log` `frac-2neg` `distribute-lft-out`
2×	`pow-to-exp` `flip3-+` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-/l/`

Counts

4 → 183

Calls

4 calls:

Slowest

105.0ms	(+ (/ (/ 2 x) (* x x)) (+ (/ 2 (pow x 5)) (/ 2 (pow x 7))))
10.0ms	(/ (/ 2 x) (* x x))
5.0ms	(/ 2 (pow x 5))
5.0ms	(/ 2 (pow x 7))

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(+ (/ (/ 2 x) (* x x)) (+ (/ 2 (pow x 5)) (/ 2 (pow x 7))))
84.0ms	(/ 2 (pow x 7))
83.0ms	(/ 2 (pow x 5))
51.0ms	(/ (/ 2 x) (* x x))

simplify968.0ms

Counts: 195 → 195

prune2.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (pow x 5))
0.2b	(/ 2 (pow x 7))
0.1b	(/ (/ 2 x) x)
0.1b	(/ (/ (/ 2 x) x) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
262×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
62×	`associate-/l*`
28×	`add-exp-log`
24×	`unpow-prod-down` `div-inv`
22×	`add-cbrt-cube`
20×	`associate-/r*`
15×	`div-exp`
11×	`cbrt-undiv`
8×	`sqr-pow`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `associate-/l/`

Counts

4 → 364

Calls

4 calls:

Slowest

18.0ms	(/ (/ (/ 2 x) x) x)
15.0ms	(/ (/ 2 x) x)
10.0ms	(/ 2 (pow x 5))
10.0ms	(/ 2 (pow x 7))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(/ 2 (pow x 7))
75.0ms	(/ 2 (pow x 5))
72.0ms	(/ (/ (/ 2 x) x) x)
50.0ms	(/ (/ 2 x) x)

simplify1.2s

Counts: 376 → 376

prune4.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

98.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 10.1b

bsearch163.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	1867×	body	640	valid
945.0ms	4123×	body	80	valid
336.0ms	993×	body	320	valid
318.0ms	541×	body	1280	valid
98.0ms	480×	body	160	valid