Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	112×	body	1280	valid
16.0ms	81×	body	640	valid
11.0ms	386×	pre	80	true
5.0ms	34×	body	320	valid
5.0ms	142×	body	80	valid
1.0ms	17×	body	160	valid

simplify14.0ms

Calls

1 calls:

Slowest

14.0ms

(- (exp x) 1)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize10.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) 1)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

series33.0ms

Calls

1 calls:

Slowest

33.0ms

(- (exp x) 1)

simplify342.0ms

Calls

10 calls:

Slowest

205.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
30.0ms	(/ (exp (exp x)) (exp 1))
19.0ms	(+ (sqrt (exp x)) (sqrt 1))
18.0ms	(- (sqrt (exp x)) (sqrt 1))
16.0ms	(- (exp x) 1)

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (* x x) (+ (* x 1/6) 1/2))
0.0b	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
0.0b	(+ (* x 1/6) 1/2)

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
9×	`distribute-lft-out`
8×	`add-log-exp` `unswap-sqr`
6×	`+-commutative`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16`
3×	`flip3-+` `flip-+`
2×	`sum-log` `associate-*r/`

Calls

4 calls:

Slowest

103.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
90.0ms	(* (* x x) (+ (* x 1/6) 1/2))
27.0ms	(+ (* x 1/6) 1/2)
9.0ms	(* x 1/6)

series232.0ms

Calls

4 calls:

Slowest

116.0ms	(* (* x x) (+ (* x 1/6) 1/2))
48.0ms	(+ (* x 1/6) 1/2)
38.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
30.0ms	(* x 1/6)

simplify4.4s

Calls

74 calls:

Slowest

354.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
328.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
309.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
294.0ms	(* (exp x) (exp (* (* x x) (+ (* x 1/6) 1/2))))
247.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))

prune801.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series1.1s

Calls

4 calls:

Slowest

296.0ms	(cbrt x)
273.0ms	(cbrt x)
266.0ms	(cbrt x)
250.0ms	(cbrt x)

simplify1.2s

Calls

24 calls:

Slowest

601.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
151.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
146.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
127.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
32.0ms	(pow (/ 1 x) -1/3)

prune542.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series1.1s

Calls

4 calls:

Slowest

288.0ms	(cbrt x)
286.0ms	(cbrt x)
260.0ms	(cbrt x)
231.0ms	(cbrt x)

simplify725.0ms

Calls

24 calls:

Slowest

153.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
138.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
125.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
119.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
33.0ms	(pow (/ 1 x) -1/3)

prune632.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

98.1% (0.0b remaining)

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

bsearch49.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3370×	body	1280	valid
582.0ms	2589×	body	640	valid
405.0ms	11963×	pre	80	true
196.0ms	1264×	body	320	valid
136.0ms	4133×	body	80	valid
75.0ms	607×	body	160	valid