Details

sample72.0ms

Algorithm

intervals

Results

24.0ms	68×	body	1280	valid
18.0ms	69×	body	10240	exit
11.0ms	50×	body	640	valid
5.0ms	100×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	13×	body	160	valid

simplify22.0ms

Calls

1 calls:

Slowest

22.0ms

(/ (exp x) (- (exp x) 1))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize7.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`times-frac`
11×	`*-un-lft-identity` `add-cube-cbrt`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `add-cbrt-cube`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

7.0ms	(/ (exp x) (- (exp x) 1))
3.0ms	(- (exp x) 1)

series47.0ms

Calls

2 calls:

Slowest

33.0ms	(/ (exp x) (- (exp x) 1))
14.0ms	(- (exp x) 1)

simplify1.2s

Calls

41 calls:

Slowest

355.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
131.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
67.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
52.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
40.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune378.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 1/12 x)

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `-commutative` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(* 1/12 x)

series7.0ms

Calls

1 calls:

Slowest

7.0ms

(* 1/12 x)

simplify12.0ms

Calls

3 calls:

Slowest

6.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

60.1b	(posit16->real (real->posit16 (* 1/12 x)))
0.4b	(* 1/12 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`*-commutative` `remove-posit16`

Calls

2 calls:

Slowest

0.0ms	(posit16->real (real->posit16 (* 1/12 x)))
0.0ms	(* 1/12 x)

series14.0ms

Calls

2 calls:

Slowest

7.0ms	(posit16->real (real->posit16 (* 1/12 x)))
7.0ms	(* 1/12 x)

simplify19.0ms

Calls

6 calls:

Slowest

3.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)
3.0ms	(* 1/12 x)

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize1.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`times-frac`
11×	`*-un-lft-identity` `add-cube-cbrt`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `add-cbrt-cube`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

13.0ms	(/ (exp x) (- (exp x) 1))
7.0ms	(- (exp x) 1)

series53.0ms

Calls

2 calls:

Slowest

35.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

simplify1.2s

Calls

41 calls:

Slowest

379.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
122.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
63.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
51.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
37.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes145.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 21.0b

bsearch45.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2445×	body	10240	exit
1.0s	2326×	body	1280	valid
493.0ms	1643×	body	640	valid
223.0ms	2826×	body	80	valid
176.0ms	807×	body	320	valid
51.0ms	399×	body	160	valid