Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:

16.0ms	(/ x (+ x 1))
11.0ms	(/ 1 (- x 1))
82.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x 1))
21.0ms	(/ 1 (- x 1))
84.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1356
1	401
0	176

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
0.4b	(/ 1 (fma x x -1))
13.8b	(* (/ 1 (fma x x -1)) (+ x 1))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
7×	`pow1` `associate-/r*`
6×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
5×	`div-exp` `frac-add` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-r` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `rec-exp` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 137

Calls

4 calls:

11.0ms	(/ x (+ x 1))
32.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
5.0ms	(/ 1 (fma x x -1))
30.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

series288.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (+ x 1))
164.0ms	(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
55.0ms	(/ 1 (fma x x -1))
30.0ms	(* (/ 1 (fma x x -1)) (+ x 1))

simplify2.2s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2434
1	736
0	231

prune513.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- x 1) x (+ x 1))
0.0b	(* (- x 1) (+ x 1))
14.8b	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

0.0ms	(fma (- x 1) x (+ x 1))
54.0ms	(* (- x 1) (+ x 1))
30.0ms	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(fma (- x 1) x (+ x 1))
84.0ms	(* (- x 1) (+ x 1))
136.0ms	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5007
2	1579
1	387
0	132

prune358.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample475.0ms

Algorithm

intervals

Results

393.0ms

8000×

body

valid