Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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

61.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
11.0ms	(/ x (+ x 1))
9.0ms	(/ 1 (- x 1))

series100.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
22.0ms	(/ x (+ x 1))
17.0ms	(/ 1 (- x 1))

simplify4.5s

Counts

138 → 145

Calls

138 calls:

Slowest

405.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
309.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
268.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
253.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
218.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

16.5b	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
0.0b	(fma (+ -1 x) x (+ -1 x))

rewrite10.0ms

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

9.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
0.0ms	(fma (+ -1 x) x (+ -1 x))

series263.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

146.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
117.0ms	(fma (+ -1 x) x (+ -1 x))

simplify4.6s

Counts

31 → 47

Calls

31 calls:

Slowest

660.0ms	(/ (* (* (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))))
352.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
291.0ms	(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt (fma (+ -1 x) x (+ -1 x))) (cbrt (fma (+ -1 x) x (+ -1 x)))))
252.0ms	(/ (sqrt (fma x x 1)) (* (cbrt (fma (+ -1 x) x (+ -1 x))) (cbrt (fma (+ -1 x) x (+ -1 x)))))
250.0ms	(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (sqrt (fma (+ -1 x) x (+ -1 x))))

prune429.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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