Details

sample92.0ms

Algorithm

intervals

Results

28.0ms	72×	body	1280	valid
27.0ms	84×	body	10240	exit
15.0ms	50×	body	640	valid
5.0ms	95×	body	80	valid
5.0ms	24×	body	320	valid
2.0ms	15×	body	160	valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize26.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (exp x) 1)
0.0b	(/ (exp x) (- (exp x) 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

19.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series53.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify3.4s

Counts

96 → 69

Calls

96 calls:

Slowest

464.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
358.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1 3)))
266.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
187.0ms	(* (* (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)))
181.0ms	(* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))

prune500.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
0.0b	(+ (/ 1 x) 1/2)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

Slowest

44.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
16.0ms	(+ (/ 1 x) 1/2)
10.0ms	(* 1/12 x)

series62.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

26.0ms	(* 1/12 x)
20.0ms	(+ (/ 1 x) 1/2)
16.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

simplify3.8s

Counts

58 → 56

Calls

58 calls:

Slowest

469.0ms	(* (exp (* 1/12 x)) (* (exp (/ 1 x)) (exp 1/2)))
296.0ms	(* (exp (* 1/12 x)) (exp (+ (/ 1 x) 1/2)))
241.0ms	(exp (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
225.0ms	(+ (pow (/ 1 x) 3) (pow 1/2 3))
222.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (exp x) 1)
0.0b	(/ (exp x) (- (exp x) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

23.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series47.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify3.3s

Counts

96 → 69

Calls

96 calls:

Slowest

365.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
328.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1 3)))
282.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
198.0ms	(* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))
176.0ms	(* (* (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)))

prune505.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 21.3b

bsearch4.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	2326×	body	1280	valid
964.0ms	2409×	body	10240	exit
515.0ms	1590×	body	640	valid
248.0ms	804×	body	320	valid
185.0ms	2849×	body	80	valid
53.0ms	432×	body	160	valid