Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify156.0ms

Calls

1 calls:

Slowest

155.0ms

(+ (* x (* x x)) (* x x))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (fma x x x) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Calls

1 calls:

Slowest

12.0ms

(* (fma x x x) x)

series120.0ms

Calls

1 calls:

Slowest

120.0ms

(* (fma x x x) x)

simplify520.0ms

Calls

12 calls:

Slowest

315.0ms	(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
43.0ms	(+ (pow x 3) (pow x 2))
29.0ms	(+ (pow x 3) (pow x 2))
28.0ms	(+ (pow x 3) (pow x 2))
27.0ms	(* (sqrt (fma x x x)) (sqrt x))

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* x x))
0.0b	(+ (* x (* x x)) (* x x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`pow2` `+-commutative` `sum-log` `fma-def` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Calls

2 calls:

Slowest

32.0ms	(* x (* x x))
30.0ms	(+ (* x (* x x)) (* x x))

series160.0ms

Calls

2 calls:

Slowest

100.0ms	(+ (* x (* x x)) (* x x))
60.0ms	(* x (* x x))

simplify1.8s

Calls

23 calls:

Slowest

526.0ms	(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
478.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
364.0ms	(* x (* x x))
246.0ms	(* (exp (* x (* x x))) (exp (* x x)))
43.0ms	(+ (pow x 3) (pow x 2))

prune355.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (fma x x x)) (sqrt x))
0.5b	(* (sqrt (fma x x x)) (sqrt x))
0.0b	(* (* (sqrt (fma x x x)) (sqrt x)) (* (sqrt (fma x x x)) (sqrt x)))
0.0b	(sqrt (fma x x x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
23×	`sqrt-prod`
21×	`sqrt-pow1` `pow1/2`
20×	`add-cbrt-cube` `add-exp-log`
13×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `swap-sqr`

Calls

4 calls:

Slowest

43.0ms	(* (* (sqrt (fma x x x)) (sqrt x)) (* (sqrt (fma x x x)) (sqrt x)))
12.0ms	(* (sqrt (fma x x x)) (sqrt x))
8.0ms	(* (sqrt (fma x x x)) (sqrt x))
1.0ms	(sqrt (fma x x x))

series323.0ms

Calls

4 calls:

Slowest

113.0ms	(* (* (sqrt (fma x x x)) (sqrt x)) (* (sqrt (fma x x x)) (sqrt x)))
90.0ms	(* (sqrt (fma x x x)) (sqrt x))
83.0ms	(* (sqrt (fma x x x)) (sqrt x))
37.0ms	(sqrt (fma x x x))

simplify5.5s

Calls

120 calls:

Slowest

666.0ms	(* (* (* (* (sqrt (fma x x x)) (sqrt x)) (* (sqrt (fma x x x)) (sqrt x))) (* (sqrt (fma x x x)) (sqrt x))) (* (* (* (sqrt (fma x x x)) (sqrt x)) (* (sqrt (fma x x x)) (sqrt x))) (* (sqrt (fma x x x)) (sqrt x))))
401.0ms	(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
397.0ms	(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
274.0ms	(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))
267.0ms	(- (+ x (* 1/2 (pow x 2))) (* 1/8 (pow x 3)))

prune962.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
0.7b	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
0.7b	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
0.6b	(* (cbrt (* (sqrt (fma x x x)) (sqrt x))) (cbrt (* (sqrt (fma x x x)) (sqrt x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

16.0ms	(* (cbrt (* (sqrt (fma x x x)) (sqrt x))) (cbrt (* (sqrt (fma x x x)) (sqrt x))))
5.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
5.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
5.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))

series410.0ms

Calls

4 calls:

Slowest

112.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
108.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
100.0ms	(cbrt (* (sqrt (fma x x x)) (sqrt x)))
90.0ms	(* (cbrt (* (sqrt (fma x x x)) (sqrt x))) (cbrt (* (sqrt (fma x x x)) (sqrt x))))

simplify3.0s

Calls

45 calls:

Slowest

254.0ms	(- (+ (* 1/6 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 5/72 (pow (pow x 7) 1/3)))
254.0ms	(- (+ (pow (/ 1 x) -1/2) (* 1/6 (sqrt (/ 1 x)))) (* 5/72 (sqrt (/ 1 (pow x 3)))))
248.0ms	(- (+ (pow (/ 1 x) -1/2) (* 1/6 (sqrt (/ 1 x)))) (* 5/72 (sqrt (/ 1 (pow x 3)))))
213.0ms	(- (+ (* 1/3 (pow (pow x 5) 1/3)) (pow x 2/3)) (* 1/9 (pow (pow x 8) 1/3)))
211.0ms	(- (+ (* 1/6 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 5/72 (pow (pow x 7) 1/3)))

prune908.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample872.0ms

Algorithm

intervals

Results

457.0ms	8000×	body	80	valid
310.0ms	8000×	pre	80	true