Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
20×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `frac-add`

Counts

2 → 53

Calls

2 calls:

Slowest

49.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms	(/ x (+ x 1))

series128.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

98.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
30.0ms	(/ x (+ x 1))

simplify1.7s

Counts

53 → 59

Calls

53 calls:

Slowest

237.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
227.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
161.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
159.0ms	(- (+ x (pow x 3)) (pow x 2))
72.0ms	(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune425.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
116×	`*-un-lft-identity`
65×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`distribute-lft-out`
19×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube` `div-inv`
8×	`div-exp`
7×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16` `distribute-lft-out--`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `frac-add` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 146

Calls

3 calls:

Slowest

54.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
13.0ms	(/ (+ x 1) x)
12.0ms	(/ 1 (/ (+ x 1) x))

series196.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(/ (+ x 1) x)
74.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
39.0ms	(/ 1 (/ (+ x 1) x))

simplify7.3s

Counts

181 → 155

Calls

181 calls:

Slowest

469.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
340.0ms	(* (- x 1) (/ (+ x 1) x))
301.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
269.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
245.0ms	(/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite712.0ms

Algorithm

rewrite-expression-head

Rules

294×	`*-un-lft-identity`
112×	`times-frac`
92×	`distribute-lft-out`
90×	`frac-times`
58×	`flip3-+` `flip-+`
56×	`frac-add`
30×	`add-sqr-sqrt` `pow1` `associate-*l/`
27×	`swap-sqr` `add-cube-cbrt`
22×	`distribute-lft-out--`
18×	`associate-r` `associate-*r/`
15×	`add-cbrt-cube` `add-exp-log`
11×	`div-inv`
10×	`associate-l`
8×	`associate-/r*`
7×	`pow-plus` `pow-prod-up`
6×	`associate-/l*`
4×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `*-commutative` `unswap-sqr`
1×	`pow3`

Counts

4 → 247

Calls

4 calls:

Slowest

386.0ms	(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
298.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
14.0ms	(/ x (+ x 1))
7.0ms	(/ x (+ x 1))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
104.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
45.0ms	(/ x (+ x 1))
38.0ms	(/ x (+ x 1))

simplify56.9s

Counts

326 → 259

Calls

326 calls:

Slowest

925.0ms	(* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))))
684.0ms	(* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3)))
679.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
673.0ms	(* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))) (+ (* 1 (+ x 1)) (* (- x 1) x)))
658.0ms	(* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (+ (* 1 (+ x 1)) (* (- x 1) x))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3)))

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid