Details

sample59.0ms

Algorithm

intervals

Results

22.0ms	64×	body	640	valid
11.0ms	130×	body	80	valid
10.0ms	38×	body	320	valid
5.0ms	25×	body	160	valid

simplify20.0ms

Calls

1 calls:

Slowest

19.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize18.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`prod-diff`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `div-inv`
14×	`add-cube-cbrt`
12×	`associate-/r/`
6×	`flip3-+` `fma-neg` `flip-+`
4×	`distribute-lft-out--` `add-log-exp`
3×	`pow1` `associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

2 calls:

Slowest

13.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
2.0ms	(/ 1 (+ x 1))

series40.0ms

Calls

2 calls:

Slowest

24.0ms	(/ 1 (+ x 1))
16.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify4.7s

Calls

73 calls:

Slowest

293.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
289.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))))
269.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
264.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
215.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ 1 x) 1)))

prune533.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ -1 (fma x x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

1.0ms

(/ -1 (fma x x x))

series13.0ms

Calls

1 calls:

Slowest

13.0ms

(/ -1 (fma x x x))

simplify295.0ms

Calls

6 calls:

Slowest

117.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
105.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
66.0ms	(- 1 (+ x (/ 1 x)))
3.0ms	(cbrt (fma x x x))
3.0ms	(sqrt (fma x x x))

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (/ -1 (fma x x x)))
17.8b	(cbrt (/ -1 (fma x x x)))
17.8b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-div` `pow1/3` `associate-r` `associate-l`
6×	`add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

12.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
2.0ms	(cbrt (/ -1 (fma x x x)))
1.0ms	(cbrt (/ -1 (fma x x x)))
1.0ms	(cbrt (/ -1 (fma x x x)))

series281.0ms

Calls

4 calls:

Slowest

80.0ms	(cbrt (/ -1 (fma x x x)))
72.0ms	(cbrt (/ -1 (fma x x x)))
68.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
61.0ms	(cbrt (/ -1 (fma x x x)))

simplify5.2s

Calls

53 calls:

Slowest

436.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
424.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
420.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
405.0ms	(- (+ (* 2/9 (* (pow (pow x 5) 1/3) (cbrt -1))) (* (pow (/ 1 x) 1/3) (cbrt -1))) (* 1/3 (* (pow (pow x 2) 1/3) (cbrt -1))))
395.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))

prune828.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

18.1b	(cbrt (fma x x x))
17.8b	(cbrt (/ -1 (fma x x x)))
17.8b	(cbrt (/ -1 (fma x x x)))
0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`pow1/3` `associate-r` `associate-l`
6×	`cbrt-div` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

6.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (/ -1 (fma x x x)))
1.0ms	(cbrt (/ -1 (fma x x x)))

series306.0ms

Calls

4 calls:

Slowest

90.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
88.0ms	(cbrt (/ -1 (fma x x x)))
84.0ms	(cbrt (/ -1 (fma x x x)))
44.0ms	(cbrt (fma x x x))

simplify4.6s

Calls

51 calls:

Slowest

432.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
409.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
383.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
373.0ms	(- (+ (* 2/9 (* (pow (pow x 5) 1/3) (cbrt -1))) (* (pow (/ 1 x) 1/3) (cbrt -1))) (* 1/3 (* (pow (pow x 2) 1/3) (cbrt -1))))
358.0ms	(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

609.0ms	1906×	body	640	valid
334.0ms	1204×	body	320	valid
302.0ms	4219×	body	80	valid
89.0ms	674×	body	160	valid