Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

20.0ms

(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

Slowest

34.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
14.0ms	(/ x (+ x 1))
8.0ms	(/ 1 (- x 1))

series108.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms	(/ x (+ x 1))
16.0ms	(/ 1 (- x 1))

simplify4.7s

Counts

138 → 145

Calls

138 calls:

Slowest

411.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
341.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
296.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
247.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
202.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 231

Calls

4 calls:

Slowest

73.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
21.0ms	(/ (+ x 1) x)
10.0ms	(/ 1 (/ (+ x 1) x))
8.0ms	(/ 1 (- x 1))

series190.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
54.0ms	(/ (+ x 1) x)
38.0ms	(/ 1 (/ (+ x 1) x))
30.0ms	(/ 1 (- x 1))

simplify10.9s

Counts

266 → 243

Calls

266 calls:

Slowest

478.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
430.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
390.0ms	(* (- x 1) (/ (+ x 1) x))
366.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
316.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))

prune2.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
102×	`*-un-lft-identity`
70×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube`
10×	`div-exp` `associate-/l*`
7×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`pow-flip` `inv-pow` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `fma-udef`

Counts

4 → 172

Calls

4 calls:

Slowest

14.0ms	(/ (+ x 1) x)
13.0ms	(/ 1 (/ (+ x 1) x))
4.0ms	(/ 1 (fma x x -1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ 1 (/ (+ x 1) x)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ 1 (/ (+ x 1) x)))
63.0ms	(/ (+ x 1) x)
58.0ms	(/ 1 (fma x x -1))
36.0ms	(/ 1 (/ (+ x 1) x))

simplify9.0s

Counts

192 → 184

Calls

192 calls:

Slowest

436.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
407.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
394.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
299.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
274.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample900.0ms

Algorithm

intervals

Results

786.0ms

8000×

body

valid