Details

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify12.0ms

Calls

1 calls:

Slowest

12.0ms

(/ x (+ (* x x) 1))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize9.0ms

Local error

Found 1 expressions with local error:

17.0b

(/ x (fma x 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

(/ x (fma x x 1))

series21.0ms

Calls

1 calls:

Slowest

21.0ms

(/ x (fma x x 1))

simplify304.0ms

Calls

6 calls:

Slowest

118.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
95.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
70.0ms	(- (+ x (pow x 5)) (pow x 3))
9.0ms	(sqrt (fma x x 1))
9.0ms	(cbrt (fma x x 1))

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

17.0b

(/ (/ x 1) (fma x x 1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

9.0ms

(/ (/ x 1) (fma x x 1))

series35.0ms

Calls

1 calls:

Slowest

35.0ms

(/ (/ x 1) (fma x x 1))

simplify1.5s

Calls

34 calls:

Slowest

657.0ms	(/ (* (* (/ x 1) (/ x 1)) (/ x 1)) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
96.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
73.0ms	(- (+ x (pow x 5)) (pow x 3))
71.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
58.0ms	(/ (* (cbrt (/ x 1)) (cbrt (/ x 1))) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

18.1b	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.2b	(/ (/ 1 x) x)
0.1b	(/ 1 (pow x 5))
0.1b	(/ (/ (/ 1 x) x) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

21.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
6.0ms	(/ (/ (/ 1 x) x) x)
4.0ms	(/ (/ 1 x) x)
1.0ms	(/ 1 (pow x 5))

series119.0ms

Calls

4 calls:

Slowest

51.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
30.0ms	(/ 1 (pow x 5))
26.0ms	(/ (/ (/ 1 x) x) x)
12.0ms	(/ (/ 1 x) x)

simplify5.0s

Calls

63 calls:

Slowest

393.0ms	(* (cbrt (/ (/ 1 x) x)) (cbrt (/ (/ 1 x) x)))
198.0ms	(fma (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (- (* (/ 1 x) (/ (/ 1 x) x))))
186.0ms	(fma (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (- (* (/ (/ (/ 1 x) x) x) 1)))
182.0ms	(fma (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- (* (/ 1 x) (/ (/ 1 x) x))))
168.0ms	(fma 1 (/ 1 (pow x 5)) (- (* (/ (/ (/ 1 x) x) x) 1)))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

16.6b

(fma (- 1 (* x x)) x (pow x 5))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(fma (- 1 (* x x)) x (pow x 5))

series35.0ms

Calls

1 calls:

Slowest

35.0ms

(fma (- 1 (* x x)) x (pow x 5))

simplify179.0ms

Calls

3 calls:

Slowest

82.0ms	(- (+ x (pow x 5)) (pow x 3))
49.0ms	(- (+ x (pow x 5)) (pow x 3))
46.0ms	(- (+ x (pow x 5)) (pow x 3))

prune101.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch102.0ms

end0.0ms

sample644.0ms

Algorithm

intervals

Results

525.0ms

8000×

body

valid