Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
149×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-add`
81×	`add-cube-cbrt`
75×	`associate-/l*`
62×	`times-frac`
34×	`difference-of-squares`
27×	`fma-def`
25×	`clear-num` `frac-2neg` `distribute-lft-out`
19×	`distribute-lft-out--`
17×	`difference-of-sqr-1`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

50.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms	(/ 1 (- x 1))
14.0ms	(/ x (+ x 1))

series166.0ms

Calls

3 calls:

Slowest

96.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
41.0ms	(/ x (+ x 1))
29.0ms	(/ 1 (- x 1))

simplify1.2m

Calls

396 calls:

Slowest

1.1s	(+ (* (sqrt 1) (- (+ x 1))) (* (/ (- x 1) (sqrt 1)) (- x)))
1.1s	(+ (* (* (cbrt 1) (cbrt 1)) (- (+ x 1))) (* (/ (- x 1) (cbrt 1)) (- x)))
968.0ms	(* (/ (- x 1) 1) (+ x 1))
926.0ms	(+ (* 1 (- (+ x 1))) (* (- x 1) (- x)))
728.0ms	(+ (* (- 1) (+ x 1)) (* (- (- x 1)) (/ x 1)))

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (fma x x -1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
0.0b	(/ x (+ x 1))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

15.0ms	(/ x (+ x 1))
7.0ms	(/ 1 (fma x x -1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series203.0ms

Calls

3 calls:

Slowest

122.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
42.0ms	(/ x (+ x 1))
38.0ms	(/ 1 (fma x x -1))

simplify3.3s

Calls

70 calls:

Slowest

326.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
296.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
277.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
266.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
221.0ms	(/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1)))

prune762.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma x x -1))
0.0b	(exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
0.0b	(log (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(/ 1 (fma x x -1))
2.0ms	(log (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))))
2.0ms	(exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series434.0ms

Calls

4 calls:

Slowest

186.0ms	(exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
101.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
100.0ms	(log (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))))
48.0ms	(/ 1 (fma x x -1))

simplify7.4s

Calls

53 calls:

Slowest

509.0ms	(log (* (cbrt (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))) (cbrt (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))))))
509.0ms	(log (sqrt (exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))))
502.0ms	(exp (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
417.0ms	(exp (* (cbrt (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))) (cbrt (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))))
398.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample845.0ms

Algorithm

intervals

Results

726.0ms

8000×

body

valid