Details

sample23.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify13.0ms

Calls

1 calls:

Slowest

13.0ms

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `associate-/r*` `fma-def` `associate-/r/` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `div-inv`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `sum-log` `frac-add` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

12.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
2.0ms	(/ 1 (- x 1))
1.0ms	(/ x (+ x 1))

series66.0ms

Calls

3 calls:

Slowest

47.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms	(/ x (+ x 1))
9.0ms	(/ 1 (- x 1))

simplify1.3s

Calls

29 calls:

Slowest

207.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
185.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
111.0ms	(- (+ x (+ (pow x 2) 1)))
96.0ms	(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))
76.0ms	(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune495.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1))))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(log1p (expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `associate-/r/` `insert-posit16`
3×	`associate-/r*` `div-inv`
2×	`flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `log1p-udef` `expm1-log1p` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `log1p-expm1` `flip-+` `pow-flip` `inv-pow` `expm1-udef`

Calls

4 calls:

Slowest

6.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
1.0ms	(/ 1 (- x 1))
0.0ms	(expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1))))
0.0ms	(log1p (expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

series308.0ms

Calls

4 calls:

Slowest

149.0ms	(log1p (expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
127.0ms	(expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1))))
26.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
6.0ms	(/ 1 (- x 1))

simplify2.9s

Calls

29 calls:

Slowest

447.0ms	(- (+ (* 2/3 (* (pow x 6) (exp -1))) (exp -1)) (+ (* 2 (* (pow x 2) (exp -1))) 1))
402.0ms	(- (+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2))))) 1)
332.0ms	(- (+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2))))) 1)
276.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
253.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))

prune765.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

18.2b	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
0.5b	(expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x))))
0.0b	(log1p (expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))))
0.0b	(fma (+ -1 x) x (+ -1 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))
1.0ms	(expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x))))
0.0ms	(log1p (expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))))
0.0ms	(fma (+ -1 x) x (+ -1 x))

series445.0ms

Calls

4 calls:

Slowest

188.0ms	(log1p (expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))))
136.0ms	(expm1 (/ (fma x x 1) (fma (+ -1 x) x (+ -1 x))))
65.0ms	(fma (+ -1 x) x (+ -1 x))
56.0ms	(/ (fma x x 1) (fma (+ -1 x) x (+ -1 x)))

simplify6.0s

Calls

39 calls:

Slowest

586.0ms	(/ (* (* (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))))
376.0ms	(- (+ (* 2/3 (* (pow x 6) (exp -1))) (exp -1)) (+ (* 2 (* (pow x 2) (exp -1))) 1))
371.0ms	(- (+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2))))) 1)
359.0ms	(- (+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2))))) 1)
276.0ms	(/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt (fma (+ -1 x) x (+ -1 x))) (cbrt (fma (+ -1 x) x (+ -1 x)))))

prune896.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample857.0ms

Algorithm

intervals

Results

731.0ms

8000×

body

valid