Details

sample50.0ms

Algorithm

intervals

Results

19.0ms	60×	body	640	valid
11.0ms	141×	body	80	valid
6.0ms	17×	body	1280	valid
5.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify266.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize19.0ms

Local error

Found 3 expressions with local error:

1.7b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (+ x 1))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

718×	`*-un-lft-identity`
694×	`times-frac`
515×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg` `distribute-lft-out--`
13×	`fma-def`
12×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 596

Calls

3 calls:

Slowest

211.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
75.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
17.0ms	(/ 1 (+ x 1))

series148.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

102.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
25.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
21.0ms	(/ 1 (+ x 1))

simplify1.7s

Counts: 605 → 605

prune6.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

29.3b	(fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x))
0.0b	(/ (fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
0.0b	(* (+ x 1) x)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

Slowest

36.0ms	(* (* (+ x 1) x) (- x 1))
30.0ms	(/ (fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
15.0ms	(* (+ x 1) x)
0.0ms	(fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x))

series717.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

302.0ms	(/ (fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
196.0ms	(fma (+ x -1) (- x (* 2 (+ x 1))) (* (+ x 1) x))
149.0ms	(* (* (+ x 1) x) (- x 1))
69.0ms	(* (+ x 1) x)

simplify842.0ms

Counts: 136 → 136

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ 2 (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
0.0b	(* (+ x 1) x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

Slowest

40.0ms	(* (* (+ x 1) x) (- x 1))
37.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
14.0ms	(* (+ x 1) x)

series285.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

136.0ms	(* (* (+ x 1) x) (- x 1))
76.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
72.0ms	(* (+ x 1) x)

simplify862.0ms

Counts: 122 → 122

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 2 (fma x x x))
0.0b	(/ (/ 2 (fma x x x)) (- x 1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
136×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
80×	`add-cube-cbrt`
28×	`difference-of-squares`
16×	`associate-/l*`
14×	`difference-of-sqr-1` `distribute-lft-out--`
10×	`associate-/r*` `div-inv`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 161

Calls

2 calls:

Slowest

19.0ms	(/ (/ 2 (fma x x x)) (- x 1))
4.0ms	(/ 2 (fma x x x))

series153.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(/ (/ 2 (fma x x x)) (- x 1))
52.0ms	(/ 2 (fma x x x))

simplify737.0ms

Counts: 167 → 167

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	1920×	body	640	valid
573.0ms	4119×	body	80	valid
331.0ms	922×	body	320	valid
293.0ms	538×	body	1280	valid
126.0ms	502×	body	160	valid