Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	61×	body	640	valid
11.0ms	45×	body	320	valid
6.0ms	130×	body	80	valid
2.0ms	20×	body	160	valid

simplify18.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize21.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

370×	`*-un-lft-identity`
366×	`times-frac`
277×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
37×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 327

Calls

2 calls:

Slowest

43.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms	(/ 1 (+ x 1))

series68.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
29.0ms	(/ 1 (+ x 1))

simplify931.0ms

Counts: 333 → 333

prune3.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

2.7b	(- x (+ x 1))
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
0.0b	(* (+ x 1) x)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`distribute-lft-out`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
5×	`pow1`
4×	`associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `flip3--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

Slowest

74.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
28.0ms	(* (+ x 1) x)
12.0ms	(- x (+ x 1))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(* (+ x 1) x)
33.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
11.0ms	(- x (+ x 1))

simplify2.6s

Counts: 103 → 103

prune901.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 1 (- (fma x x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/r*`
5×	`add-exp-log`
4×	`neg-mul-1`
3×	`add-cbrt-cube` `associate-/l*`
2×	`pow1` `div-exp`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `inv-pow` `add-log-exp`

Counts

1 → 62

Calls

1 calls:

Slowest

10.0ms

(/ 1 (- (fma x x x)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

47.0ms

(/ 1 (- (fma x x x)))

simplify934.0ms

Counts: 65 → 65

prune665.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

5.3b	(* (- (/ 1 (* (- (* x x) 1) x))) (- x 1))
0.4b	(/ 1 (* (- (* x x) 1) x))
0.1b	(* (- (* x x) 1) x)

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
28×	`associate-l`
25×	`add-cube-cbrt`
18×	`prod-diff` `add-exp-log`
12×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `associate-r`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac` `associate-*l/`
6×	`flip3--` `associate-/r/` `flip--`
5×	`prod-exp`
4×	`div-exp` `difference-of-squares`
3×	`expm1-log1p-u` `pow-prod-down` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `distribute-neg-frac` `associate-/l*` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `difference-of-sqr-1` `associate-r/` `-commutative` `pow-flip` `unswap-sqr`
1×	`distribute-lft-neg-out` `clear-num` `associate-/r*` `neg-mul-1` `frac-2neg` `distribute-lft-out--` `inv-pow`

Counts

3 → 131

Calls

3 calls:

Slowest

131.0ms	(* (- (/ 1 (* (- (* x x) 1) x))) (- x 1))
47.0ms	(* (- (* x x) 1) x)
46.0ms	(/ 1 (* (- (* x x) 1) x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(* (- (* x x) 1) x)
75.0ms	(* (- (/ 1 (* (- (* x x) 1) x))) (- x 1))
57.0ms	(/ 1 (* (- (* x x) 1) x))

simplify814.0ms

Counts: 140 → 140

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

564.0ms	1845×	body	640	valid
340.0ms	1244×	body	320	valid
273.0ms	4270×	body	80	valid
78.0ms	642×	body	160	valid