Details

sample37.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

11.0ms	(/ x (+ x 1))
33.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms	(/ 1 (- x 1))

series154.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ x (+ x 1))
97.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))

simplify1.2s

Counts

145 → 145

Iterations

Iter	Nodes
3	3026
2	1038
1	384
0	176

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.0b	(/ x (+ x 1))
0.0b	(fma (/ 1 (- (* x x) (* 1 1))) (+ x 1) (/ x (+ x 1)))
0.6b	(/ 1 (- (* x x) (* 1 1)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `flip3-+` `fma-neg` `diff-log` `1-exp` `prod-diff` `flip-+` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 105

Calls

4 calls:

16.0ms	(- (* x x) (* 1 1))
15.0ms	(/ x (+ x 1))
0.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (+ x 1) (/ x (+ x 1)))
28.0ms	(/ 1 (- (* x x) (* 1 1)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* x x) (* 1 1))
23.0ms	(/ x (+ x 1))
112.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (+ x 1) (/ x (+ x 1)))
46.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify3.5s

Counts

117 → 117

Iterations

Iter	Nodes
4	5495
3	1833
2	812
1	364
0	175

prune979.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
226×	`*-un-lft-identity`
181×	`add-sqr-sqrt`
105×	`add-cube-cbrt`
38×	`difference-of-squares`
32×	`distribute-lft-out`
24×	`associate-/l*`
22×	`associate-/r/`
19×	`difference-of-sqr-1` `add-exp-log` `distribute-lft-out--`
15×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`div-inv`
10×	`flip3-+` `flip-+`
9×	`div-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `1-exp`
1×	`flip3--` `fma-udef` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 260

Calls

4 calls:

13.0ms	(/ x (+ x 1))
0.0ms	(fma (/ (/ 1 (+ x 1)) (- x 1)) (+ x 1) (/ x (+ x 1)))
15.0ms	(/ 1 (+ x 1))
35.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series203.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ x (+ x 1))
109.0ms	(fma (/ (/ 1 (+ x 1)) (- x 1)) (+ x 1) (/ x (+ x 1)))
19.0ms	(/ 1 (+ x 1))
51.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify5.1s

Counts

272 → 272

Iterations

Iter	Nodes
3	5227
2	1909
1	764
0	327

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

308×	`*-un-lft-identity`
143×	`times-frac`
94×	`add-sqr-sqrt`
76×	`distribute-lft-out`
44×	`add-cube-cbrt`
32×	`distribute-lft-out--`
27×	`swap-sqr`
24×	`difference-of-squares`
21×	`associate-/r*`
18×	`add-exp-log`
14×	`pow1`
12×	`add-cbrt-cube` `difference-of-sqr-1`
11×	`div-inv`
9×	`frac-times` `associate-r` `associate-l` `associate-/l*`
8×	`flip3-+` `frac-add` `flip-+`
6×	`div-exp` `associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `associate-l/` `associate-r/` `pow-flip` `flip--` `inv-pow`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 237

Calls

4 calls:

8.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (- x 1))
235.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1 (- x 1))
18.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (- x 1))
81.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))

simplify732.0ms

Counts

249 → 249

Iterations

Iter	Nodes
2	2080
1	502
0	171

prune2.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	8

end0.0ms

sample932.0ms

Algorithm

intervals

Results

763.0ms

8000×

body

valid