Details

sample16.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify19.0ms

Calls

1 calls:

Slowest

19.0ms

(/ x (+ (* x x) 1))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize14.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ x (fma x x 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

9.0ms

(/ x (fma x x 1))

series76.0ms

Calls

1 calls:

Slowest

76.0ms

(/ x (fma x x 1))

simplify1.3s

Calls

28 calls:

Slowest

291.0ms	(- (+ x (pow x 5)) (pow x 3))
227.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
191.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
165.0ms	(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
76.0ms	(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

14.5b	(/ (fma x x 1) x)
0.1b	(/ 1 (/ (fma x x 1) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
15×	`add-exp-log`
10×	`associate-/l*`
9×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`pow1` `frac-2neg`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `remove-double-div` `add-log-exp`
1×	`pow-flip` `inv-pow`

Calls

2 calls:

Slowest

8.0ms	(/ 1 (/ (fma x x 1) x))
4.0ms	(/ (fma x x 1) x)

series169.0ms

Calls

2 calls:

Slowest

85.0ms	(/ (fma x x 1) x)
84.0ms	(/ 1 (/ (fma x x 1) x))

simplify6.1s

Calls

139 calls:

Slowest

332.0ms	(/ (* (* 1 1) 1) (/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* x x) x)))
301.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
279.0ms	(/ (* (* 1 1) 1) (* (* (/ (fma x x 1) x) (/ (fma x x 1) x)) (/ (fma x x 1) x)))
265.0ms	(- (+ x (pow x 5)) (pow x 3))
239.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune906.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
0.0b	(/ x (hypot 1 x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt` `frac-times`
67×	`*-un-lft-identity`
64×	`add-cube-cbrt` `associate-/l*`
63×	`associate-/r*`
34×	`times-frac`
26×	`add-exp-log`
22×	`clear-num`
21×	`frac-2neg`
16×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`div-exp` `associate-l/` `associate-r/`
8×	`prod-exp`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod`
3×	`div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Calls

2 calls:

Slowest

34.0ms	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
13.0ms	(/ x (hypot 1 x))

series166.0ms

Calls

2 calls:

Slowest

94.0ms	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
72.0ms	(/ x (hypot 1 x))

simplify11.4s

Calls

262 calls:

Slowest

475.0ms	(* (* (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) (/ 1 (hypot 1 x))) (* (* (/ x (hypot 1 x)) (/ x (hypot 1 x))) (/ x (hypot 1 x))))
406.0ms	(/ (* (* x x) x) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))
336.0ms	(* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ x (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))
325.0ms	(* (/ 1 (sqrt (hypot 1 x))) (/ x (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))
307.0ms	(* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ x (hypot 1 x)))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample647.0ms

Algorithm

intervals

Results

519.0ms

8000×

body

valid