Details

sample20.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 100

Calls

2 calls:

Slowest

59.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
9.0ms	(/ 1 (- x 1))

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

72.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
24.0ms	(/ 1 (- x 1))

simplify3.3s

Counts

101 → 106

Calls

101 calls:

Slowest

373.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
317.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
254.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
213.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
210.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))

prune769.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

16.3b	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
0.0b	(fma (+ -1 x) x (+ -1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

8.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
0.0ms	(fma (+ -1 x) x (+ -1 x))

series245.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

129.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
115.0ms	(fma (+ -1 x) x (+ -1 x))

simplify4.4s

Counts

31 → 47

Calls

31 calls:

Slowest

632.0ms	(/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* (fma (+ -1 x) x (+ -1 x)) (fma (+ -1 x) x (+ -1 x))) (fma (+ -1 x) x (+ -1 x))))
314.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
280.0ms	(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (sqrt (fma (+ -1 x) x (+ -1 x))))
245.0ms	(- (log (fma x x 1)) (log (fma (+ -1 x) x (+ -1 x))))
244.0ms	(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt (fma (+ -1 x) x (+ -1 x))) (cbrt (fma (+ -1 x) x (+ -1 x)))))

prune310.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid