Details

sample61.0ms

Algorithm

intervals

Results

22.0ms	58×	body	640	valid
14.0ms	142×	body	80	valid
10.0ms	36×	body	320	valid
4.0ms	20×	body	160	valid

simplify33.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

825×	`*-un-lft-identity`
762×	`times-frac`
681×	`add-sqr-sqrt`
486×	`prod-diff`
441×	`add-cube-cbrt`
117×	`difference-of-squares`
96×	`associate-/r/`
94×	`distribute-lft-out`
77×	`distribute-lft-out--`
54×	`difference-of-sqr-1`
51×	`div-inv`
30×	`flip-+`
29×	`flip3-+`
20×	`flip--`
19×	`flip3--`
18×	`fma-neg`
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` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`

Counts

2 → 586

Calls

2 calls:

Slowest

57.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
11.0ms	(/ 1 (+ x 1))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

106.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms	(/ 1 (+ x 1))

simplify937.0ms

Counts: 592 → 592

prune6.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 3 expressions with local error:

2.4b	(- (* 1 (- x 1)) (* (+ x 1) 1))
0.0b	(/ (- (* 1 (- x 1)) (* (+ x 1) 1)) (* (+ x 1) (- x 1)))
0.0b	(* (+ x 1) (- x 1))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

Slowest

48.0ms	(/ (- (* 1 (- x 1)) (* (+ x 1) 1)) (* (+ x 1) (- x 1)))
25.0ms	(* (+ x 1) (- x 1))
23.0ms	(- (* 1 (- x 1)) (* (+ x 1) 1))

series159.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(* (+ x 1) (- x 1))
60.0ms	(/ (- (* 1 (- x 1)) (* (+ x 1) 1)) (* (+ x 1) (- x 1)))
8.0ms	(- (* 1 (- x 1)) (* (+ x 1) 1))

simplify1.5s

Counts: 147 → 147

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 88

Calls

2 calls:

Slowest

37.0ms	(* (+ x 1) (- x 1))
22.0ms	(/ -2 (* (+ x 1) (- x 1)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

89.0ms	(* (+ x 1) (- x 1))
61.0ms	(/ -2 (* (+ x 1) (- x 1)))

simplify1.4s

Counts: 94 → 94

prune712.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -2 (+ x 1)) (- x 1))
0.0b	(/ -2 (+ x 1))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 207

Calls

2 calls:

Slowest

17.0ms	(/ (/ -2 (+ x 1)) (- x 1))
8.0ms	(/ -2 (+ x 1))

series97.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

80.0ms	(/ (/ -2 (+ x 1)) (- x 1))
17.0ms	(/ -2 (+ x 1))

simplify823.0ms

Counts: 213 → 213

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

701.0ms	1899×	body	640	valid
318.0ms	4171×	body	80	valid
295.0ms	1263×	body	320	valid
188.0ms	667×	body	160	valid