Details

sample178.0ms

Algorithm

intervals

Results

132.0ms	192×	body	1280	valid
15.0ms	242×	body	80	valid
11.0ms	32×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify287.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize26.0ms

Local error

Found 2 expressions with local error:

4.5b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite113.0ms

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

93.0ms	(+ (- (exp x) 2) (exp (- x)))
18.0ms	(- (exp x) 2)

series94.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(+ (- (exp x) 2) (exp (- x)))
18.0ms	(- (exp x) 2)

simplify312.0ms

Counts: 85 → 73

prune741.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* (* x x) x) 1/360)
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

162×	`pow1`
48×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
30×	`pow-plus`
26×	`pow-sqr`
20×	`prod-exp` `cbrt-unprod`
17×	`pow2`
10×	`associate-r`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow3`
1×	`swap-sqr`

Counts

4 → 152

Calls

4 calls:

Slowest

58.0ms	(* (* (* x x) x) 1/360)
25.0ms	(* (* x x) (* x x))
16.0ms	(* (* x x) x)
15.0ms	(* (* x x) x)

series186.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

53.0ms	(* (* (* x x) x) 1/360)
53.0ms	(* (* x x) x)
45.0ms	(* (* x x) x)
34.0ms	(* (* x x) (* x x))

simplify763.0ms

Counts: 161 → 164

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

4.0b	(+ (exp x) (- (/ 1 (exp x)) 2))
0.0b	(- (/ 1 (exp x)) 2)
0.0b	(/ 1 (exp x))

rewrite80.0ms

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

41.0ms	(+ (exp x) (- (/ 1 (exp x)) 2))
22.0ms	(- (/ 1 (exp x)) 2)
11.0ms	(/ 1 (exp x))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

77.0ms	(+ (exp x) (- (/ 1 (exp x)) 2))
30.0ms	(- (/ 1 (exp x)) 2)
16.0ms	(/ 1 (exp x))

simplify435.0ms

Counts: 232 → 181

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2)))
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))) (- (exp x) (- (/ 1 (exp x)) 2)))
0.0b	(* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

234×	`*-un-lft-identity`
209×	`add-sqr-sqrt`
167×	`add-cube-cbrt`
157×	`prod-diff`
144×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
41×	`distribute-lft-out--`
26×	`div-inv` `difference-of-squares`
18×	`pow1` `exp-prod`
17×	`swap-sqr`
11×	`associate-r` `associate-l`
10×	`add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`add-exp-log`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`sub-neg` `pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`pow2` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp`

Counts

4 → 335

Calls

4 calls:

Slowest

117.0ms	(* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))
111.0ms	(/ (- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))) (- (exp x) (- (/ 1 (exp x)) 2)))
27.0ms	(- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2)))
14.0ms	(* (exp x) (exp x))

series518.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(/ (- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))) (- (exp x) (- (/ 1 (exp x)) 2)))
131.0ms	(- (* (exp x) (exp x)) (* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2)))
44.0ms	(* (- (/ 1 (exp x)) 2) (- (/ 1 (exp x)) 2))
18.0ms	(* (exp x) (exp x))

simplify855.0ms

Counts: 482 → 347

prune3.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.3s	5739×	body	1280	valid
1.0s	8069×	body	80	valid
570.0ms	1215×	body	640	valid
156.0ms	599×	body	320	valid
40.0ms	289×	body	160	valid