Details

sample132.0ms

Algorithm

intervals

Results

93.0ms	186×	body	1280	valid
12.0ms	246×	body	80	valid
10.0ms	38×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify170.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.1b

localize12.0ms

Local error

Found 2 expressions with local error:

4.6b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

Slowest

67.0ms	(+ (- (exp x) 2) (exp (- x)))
17.0ms	(- (exp x) 2)

series133.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

111.0ms	(+ (- (exp x) 2) (exp (- x)))
22.0ms	(- (exp x) 2)

simplify1.0s

Counts: 73 → 73

prune576.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.0b	(* (* x x) (* (* x x) (* x x)))
0.0b	(fma (* (* x x) (* x x)) 1/12 (* x x))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`cube-unmult` `fma-udef`

Counts

4 → 337

Calls

4 calls:

Slowest

79.0ms	(* (* x x) (* (* x x) (* x x)))
34.0ms	(* (* x x) (* x x))
31.0ms	(* (* x x) (* x x))
0.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))
59.0ms	(* (* x x) (* (* x x) (* x x)))
47.0ms	(* (* x x) (* x x))
41.0ms	(* (* x x) (* x x))

simplify1.7s

Counts: 349 → 349

prune2.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

3.6b	(+ (exp x) (- (/ 1 (exp x)) 2))
0.0b	(- (/ 1 (exp x)) 2)
0.0b	(/ 1 (exp x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
78×	`prod-diff`
74×	`times-frac`
41×	`associate-+r+`
13×	`fma-neg`
10×	`div-inv` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1` `add-exp-log` `pow-flip` `distribute-lft-out--`
3×	`expm1-log1p-u` `exp-prod` `associate-/r` `fma-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `associate-/l` `difference-of-squares`
2×	`sum-log` `sub-neg` `diff-log` `div-exp`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip3--` `1-exp` `flip-+` `flip--` `inv-pow`

Counts

3 → 172

Calls

3 calls:

Slowest

53.0ms	(+ (exp x) (- (/ 1 (exp x)) 2))
30.0ms	(- (/ 1 (exp x)) 2)
7.0ms	(/ 1 (exp x))

series102.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

75.0ms	(+ (exp x) (- (/ 1 (exp x)) 2))
18.0ms	(- (/ 1 (exp x)) 2)
9.0ms	(/ 1 (exp x))

simplify781.0ms

Counts: 181 → 181

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.6b remaining)

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

bsearch1.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.3s	5684×	body	1280	valid
914.0ms	1237×	body	640	valid
537.0ms	8196×	body	80	valid
159.0ms	604×	body	320	valid
39.0ms	300×	body	160	valid