Details

sample77.0ms

Algorithm

intervals

Results

28.0ms	101×	body	1280	valid
19.0ms	95×	body	640	valid
10.0ms	386×	pre	80	true
4.0ms	137×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	21×	body	160	valid

simplify8.0ms

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize24.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) 1)

rewrite17.0ms

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

17.0ms

(- (exp x) 1)

series24.0ms

Calls

1 calls:

Slowest

24.0ms

(- (exp x) 1)

simplify405.0ms

Calls

10 calls:

Slowest

252.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
27.0ms	(/ (exp (exp x)) (exp 1))
22.0ms	(- (sqrt (exp x)) (sqrt 1))
19.0ms	(+ (sqrt (exp x)) 1)
19.0ms	(+ (sqrt (exp x)) (sqrt 1))

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 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)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log`

Calls

3 calls:

Slowest

38.0ms	(* (* x x) (+ (* x 1/6) 1/2))
6.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
5.0ms	(* x 1/6)

series143.0ms

Calls

3 calls:

Slowest

88.0ms	(* (* x x) (+ (* x 1/6) 1/2))
31.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
24.0ms	(* x 1/6)

simplify2.9s

Calls

36 calls:

Slowest

304.0ms	(* (exp x) (exp (* (* x x) (+ (* x 1/6) 1/2))))
303.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
300.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
282.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
241.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))

prune539.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)

series15.0ms

Calls

1 calls:

Slowest

15.0ms

(- (exp x) 1)

simplify320.0ms

Calls

10 calls:

Slowest

212.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
24.0ms	(/ (exp (exp x)) (exp 1))
13.0ms	(+ (sqrt (exp x)) (sqrt 1))
13.0ms	(- (exp x) 1)
11.0ms	(- (sqrt (exp x)) (sqrt 1))

prune100.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

4.6b	(log (/ (exp (exp x)) E))
0.0b	(exp (exp x))
0.0b	(/ (exp (exp x)) E)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`log-prod`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `div-exp` `add-log-exp`
3×	`exp-prod` `associate-/r` `rem-log-exp` `insert-posit16` `associate-/l`
2×	`e-exp-1` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `log-pow` `rem-exp-log`

Calls

3 calls:

Slowest

17.0ms	(/ (exp (exp x)) E)
4.0ms	(log (/ (exp (exp x)) E))
3.0ms	(exp (exp x))

series210.0ms

Calls

3 calls:

Slowest

126.0ms	(log (/ (exp (exp x)) E))
57.0ms	(/ (exp (exp x)) E)
27.0ms	(exp (exp x))

simplify1.9s

Calls

55 calls:

Slowest

417.0ms	(/ (* (* (exp (exp x)) (exp (exp x))) (exp (exp x))) (* (* E E) E))
236.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
160.0ms	(log (/ (* (cbrt (exp (exp x))) (cbrt (exp (exp x)))) (* (cbrt E) (cbrt E))))
93.0ms	(log (/ (sqrt (exp (exp x))) (* (cbrt E) (cbrt E))))
88.0ms	(+ (* (pow x 2) E) (+ E (* x E)))

prune480.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	3455×	body	1280	valid
862.0ms	11868×	pre	80	true
511.0ms	2522×	body	640	valid
147.0ms	4054×	body	80	valid
146.0ms	1224×	body	320	valid
47.0ms	613×	body	160	valid