Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	64×	body	640	valid
12.0ms	131×	body	80	valid
11.0ms	40×	body	320	valid
4.0ms	21×	body	160	valid

simplify42.0ms

Calls

1 calls:

Slowest

42.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize15.0ms

Local error

Found 2 expressions with local error:

2.4b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite9.0ms

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

7.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
1.0ms	(/ 1 (+ x 1))

series17.0ms

Calls

2 calls:

Slowest

11.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
6.0ms	(/ 1 (+ x 1))

simplify4.7s

Calls

73 calls:

Slowest

322.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))))
321.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
309.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
264.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
224.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))))

prune576.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ -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))

series23.0ms

Calls

1 calls:

Slowest

23.0ms

(/ -1 (fma x x x))

simplify336.0ms

Calls

6 calls:

Slowest

141.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
91.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
87.0ms	(- 1 (+ x (/ 1 x)))
7.0ms	(cbrt (fma x x x))
6.0ms	(sqrt (fma x x x))

prune137.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (fma x x x))
18.4b	(cbrt (fma x x x))
18.4b	(cbrt (fma x x x))
1.3b	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
2.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series230.0ms

Calls

4 calls:

Slowest

67.0ms	(cbrt (fma x x x))
63.0ms	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
51.0ms	(cbrt (fma x x x))
49.0ms	(cbrt (fma x x x))

simplify1.7s

Calls

22 calls:

Slowest

189.0ms	(- (* 2/3 (pow x 1/3)) (+ (pow (/ 1 (pow x 2)) 1/3) (* 5/9 (pow (pow x 4) 1/3))))
173.0ms	(- (* 2/3 (pow (/ 1 (pow x 7)) 1/3)) (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ 1 (pow x 4)) 1/3)))
168.0ms	(- (* 2/3 (pow (/ 1 (pow x 7)) 1/3)) (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ 1 (pow x 4)) 1/3)))
160.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
146.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune728.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (fma x x x))
18.4b	(cbrt (fma x x x))
17.5b	(sqrt (fma x x x))
17.5b	(sqrt (fma x x x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `pow1/3`

Calls

4 calls:

Slowest

2.0ms	(sqrt (fma x x x))
2.0ms	(sqrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series158.0ms

Calls

4 calls:

Slowest

59.0ms	(cbrt (fma x x x))
50.0ms	(cbrt (fma x x x))
25.0ms	(sqrt (fma x x x))
24.0ms	(sqrt (fma x x x))

simplify1.0s

Calls

26 calls:

Slowest

110.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
108.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
102.0ms	(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
94.0ms	(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
92.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune880.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

724.0ms	1249×	body	320	valid
643.0ms	1901×	body	640	valid
329.0ms	4266×	body	80	valid
83.0ms	584×	body	160	valid