Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

Slowest

59.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))
15.0ms	(/ x (+ x 1))

series125.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

84.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
23.0ms	(/ x (+ x 1))
18.0ms	(/ 1 (- x 1))

simplify3.2s

Counts

113 → 112

Calls

113 calls:

Slowest

281.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
251.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
205.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
184.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
164.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune690.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

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)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity` `times-frac`
94×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
26×	`associate-/r*` `distribute-lft-out`
21×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`div-inv`
10×	`div-exp` `associate-/l*`
8×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv`
4×	`difference-of-sqr-1` `insert-posit16`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/r/`
2×	`flip3-+` `flip-+` `pow-flip` `inv-pow` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

4 → 196

Calls

4 calls:

Slowest

46.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
32.0ms	(/ (+ x 1) x)
19.0ms	(/ 1 (/ (+ x 1) x))
16.0ms	(/ 1 (- x 1))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
76.0ms	(/ (+ x 1) x)
33.0ms	(/ 1 (/ (+ x 1) x))
27.0ms	(/ 1 (- x 1))

simplify9.2s

Counts

241 → 208

Calls

241 calls:

Slowest

405.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
327.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
292.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
290.0ms	(* (- x 1) (/ (+ x 1) x))
284.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

14.1b	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
0.1b	(/ 1 (- (* x x) (* 1 1)))
0.1b	(/ 1 (/ (+ x 1) x))
0.0b	(/ (+ x 1) x)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
115×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`add-exp-log`
23×	`associate-/r*`
18×	`add-cbrt-cube` `associate-l`
17×	`distribute-lft-out`
12×	`div-exp`
10×	`associate-/l*`
8×	`pow1` `div-inv`
7×	`difference-of-squares`
6×	`cbrt-undiv`
5×	`associate-/r/`
4×	`rec-exp` `1-exp` `associate-r` `prod-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `unswap-sqr`
2×	`frac-times` `flip3--` `associate-*r/` `cbrt-unprod` `pow-flip` `flip--` `inv-pow` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 209

Calls

4 calls:

Slowest

69.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
26.0ms	(/ 1 (- (* x x) (* 1 1)))
19.0ms	(/ 1 (/ (+ x 1) x))
12.0ms	(/ (+ x 1) x)

series174.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(/ (+ x 1) x)
55.0ms	(/ 1 (- (* x x) (* 1 1)))
38.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
24.0ms	(/ 1 (/ (+ x 1) x))

simplify14.6s

Counts

243 → 221

Calls

243 calls:

Slowest

1.0s	(* (* (* (/ 1 (- (* x x) (* 1 1))) (/ 1 (- (* x x) (* 1 1)))) (/ 1 (- (* x x) (* 1 1)))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
740.0ms	(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
550.0ms	(/ (* (* 1 1) 1) (* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1))))
516.0ms	(/ 1 (- (* (* x x) (* x x)) (* (* 1 1) (* 1 1))))
495.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample968.0ms

Algorithm

intervals

Results

848.0ms

8000×

body

valid