Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	63×	body	640	valid
7.0ms	137×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify30.0ms

Calls

1 calls:

Slowest

30.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize30.0ms

Local error

Found 1 expressions with local error:

1.9b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

7.0ms

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

series11.0ms

Calls

1 calls:

Slowest

11.0ms

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

simplify4.7s

Calls

64 calls:

Slowest

350.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
350.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
330.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))))
281.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
274.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ 1 x) 1)))

prune416.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ -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))

simplify309.0ms

Calls

6 calls:

Slowest

149.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
95.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
57.0ms	(- 1 (+ x (/ 1 x)))
3.0ms	(cbrt (fma x x x))
3.0ms	(sqrt (fma x x x))

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

16.0b	(cbrt (fma x x x))
16.0b	(cbrt (fma x x x))
16.0b	(cbrt (fma x x x))
0.9b	(/ -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))

series210.0ms

Calls

4 calls:

Slowest

63.0ms	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
55.0ms	(cbrt (fma x x x))
47.0ms	(cbrt (fma x x x))
45.0ms	(cbrt (fma x x x))

simplify1.7s

Calls

22 calls:

Slowest

184.0ms	(- (* 2/3 (pow x 1/3)) (+ (pow (/ 1 (pow x 2)) 1/3) (* 5/9 (pow (pow x 4) 1/3))))
167.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
144.0ms	(- (* 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)))
140.0ms	(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
138.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune602.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

16.0b	(cbrt (fma x x x))
16.0b	(cbrt (fma x x x))
16.0b	(cbrt (fma x x x))
16.0b	(cbrt (fma x x x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series173.0ms

Calls

4 calls:

Slowest

54.0ms	(cbrt (fma x x x))
51.0ms	(cbrt (fma x x x))
35.0ms	(cbrt (fma x x x))
32.0ms	(cbrt (fma x x x))

simplify1.8s

Calls

24 calls:

Slowest

162.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
159.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
153.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
144.0ms	(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
141.0ms	(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune894.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes91.0ms

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

660.0ms	1935×	body	640	valid
327.0ms	4207×	body	80	valid
264.0ms	1241×	body	320	valid
83.0ms	618×	body	160	valid