Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	62×	body	640	valid
13.0ms	137×	body	80	valid
10.0ms	37×	body	320	valid
4.0ms	20×	body	160	valid

simplify42.0ms

Calls

1 calls:

Slowest

42.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize12.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
30×	`associate-/r/`
20×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `div-inv`
16×	`add-cube-cbrt`
9×	`flip--`
8×	`flip3--` `flip-+`
7×	`flip3-+`
6×	`fma-neg`
5×	`distribute-lft-out--`
4×	`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` `diff-log` `frac-sub` `pow-flip` `inv-pow` `difference-of-squares`

Calls

2 calls:

Slowest

8.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
1.0ms	(/ 1 (- x 1))

series44.0ms

Calls

2 calls:

Slowest

34.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
11.0ms	(/ 1 (- x 1))

simplify14.5s

Calls

99 calls:

Slowest

808.0ms	(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
629.0ms	(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
570.0ms	(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
568.0ms	(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
554.0ms	(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))

prune612.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ -2 (fma x (+ x -1) (+ x -1)))

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

(/ -2 (fma x (+ x -1) (+ x -1)))

series35.0ms

Calls

1 calls:

Slowest

35.0ms

(/ -2 (fma x (+ x -1) (+ x -1)))

simplify921.0ms

Calls

6 calls:

Slowest

359.0ms	(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
357.0ms	(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
88.0ms	(+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2))
50.0ms	(sqrt (fma x (+ x -1) (+ x -1)))
49.0ms	(cbrt (fma x (+ x -1) (+ x -1)))

prune189.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
0.8b	(/ -2 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))

rewrite6.0ms

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

3.0ms	(/ -2 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))

series571.0ms

Calls

4 calls:

Slowest

162.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
143.0ms	(/ -2 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
135.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
130.0ms	(cbrt (fma x (+ x -1) (+ x -1)))

simplify4.4s

Calls

22 calls:

Slowest

400.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
334.0ms	(cbrt (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
332.0ms	(cbrt (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
289.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
284.0ms	(cbrt (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))

prune746.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
15.7b	(cbrt (fma x (+ x -1) (+ x -1)))
15.7b	(cbrt (fma x (+ x -1) (+ x -1)))

rewrite6.0ms

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 -1) (+ x -1)))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms	(cbrt (fma x (+ x -1) (+ x -1)))

series548.0ms

Calls

4 calls:

Slowest

142.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
136.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
136.0ms	(cbrt (fma x (+ x -1) (+ x -1)))
133.0ms	(cbrt (fma x (+ x -1) (+ x -1)))

simplify4.6s

Calls

24 calls:

Slowest

406.0ms	(cbrt (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
334.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
309.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
304.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
302.0ms	(cbrt (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))

prune941.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

760.0ms	1923×	body	640	valid
383.0ms	4203×	body	80	valid
312.0ms	1252×	body	320	valid
93.0ms	622×	body	160	valid