Details

sample122.0ms

Algorithm

intervals

Results

48.0ms	104×	body	1280	valid
23.0ms	41×	body	320	valid
22.0ms	78×	body	640	valid
16.0ms	287×	body	80	valid
3.0ms	22×	body	160	valid

simplify57.0ms

Calls

1 calls:

Slowest

57.0ms

(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize15.0ms

Local error

Found 1 expressions with local error:

7.0b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

1 calls:

Slowest

16.0ms

(- (exp x) (exp (- x)))

series43.0ms

Calls

1 calls:

Slowest

43.0ms

(- (exp x) (exp (- x)))

simplify1.2s

Calls

27 calls:

Slowest

127.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
82.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (exp (- x)) 1)))
76.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
74.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
68.0ms	(fma 1 (exp x) (- (* (exp (- x)) 1)))

prune304.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (fma 1/3 (* x x) 2) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-l`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

3.0ms

(* (fma 1/3 (* x x) 2) x)

series45.0ms

Calls

1 calls:

Slowest

45.0ms

(* (fma 1/3 (* x x) 2) x)

simplify181.0ms

Calls

5 calls:

Slowest

56.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
49.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
40.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
18.0ms	(* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2)))
17.0ms	(sqrt (fma 1/3 (* x x) 2))

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (fma 1/3 (* x x) 2) x)))
0.0b	(* (fma 1/3 (* x x) 2) x)
0.0b	(* (fma 1/3 (* x x) 2) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

17.0ms	(* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (fma 1/3 (* x x) 2) x)))
5.0ms	(* (fma 1/3 (* x x) 2) x)
5.0ms	(* (fma 1/3 (* x x) 2) x)

series94.0ms

Calls

3 calls:

Slowest

35.0ms	(* (fma 1/3 (* x x) 2) x)
31.0ms	(* (fma 1/3 (* x x) 2) x)
28.0ms	(* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (fma 1/3 (* x x) 2) x)))

simplify1.9s

Calls

31 calls:

Slowest

429.0ms	(* (* (* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (fma 1/3 (* x x) 2) x))) (sqrt (* (fma 1/3 (* x x) 2) x))) (* (* (sqrt (* (fma 1/3 (* x x) 2) x)) (sqrt (* (fma 1/3 (* x x) 2) x))) (sqrt (* (fma 1/3 (* x x) 2) x))))
214.0ms	(* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x))
187.0ms	(* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x))
79.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))
71.0ms	(+ (* 2 x) (* 1/3 (pow x 3)))

prune639.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

7.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Calls

3 calls:

Slowest

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series129.0ms

Calls

3 calls:

Slowest

104.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
14.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))

simplify331.0ms

Calls

17 calls:

Slowest

95.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
70.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
70.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
37.0ms	(- (exp x) (exp (* -1 x)))
23.0ms	(- (exp x) (exp (- x)))

prune579.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	3390×	body	1280	valid
1.2s	8162×	body	80	valid
1.1s	2498×	body	640	valid
302.0ms	1190×	body	320	valid
102.0ms	633×	body	160	valid