Details

sample152.0ms

Algorithm

intervals

Results

108.0ms	192×	body	1280	valid
15.0ms	266×	body	80	valid
10.0ms	31×	body	640	valid
4.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify250.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.5b

localize20.0ms

Local error

Found 2 expressions with local error:

3.8b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite63.0ms

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

50.0ms	(+ (- (exp x) 2) (exp (- x)))
12.0ms	(- (exp x) 2)

series91.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

71.0ms	(+ (- (exp x) 2) (exp (- x)))
20.0ms	(- (exp x) 2)

simplify1.0s

Counts: 73 → 73

prune517.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* (* x x) (* x x)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 326

Calls

3 calls:

Slowest

121.0ms	(* (* x x) (* (* x x) (* x x)))
39.0ms	(* (* x x) (* x x))
29.0ms	(* (* x x) (* x x))

series164.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

58.0ms	(* (* x x) (* (* x x) (* x x)))
56.0ms	(* (* x x) (* x x))
50.0ms	(* (* x x) (* x x))

simplify1.7s

Counts: 335 → 335

prune2.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

4.1b	(+ (exp x) (- (exp (- x)) 2))
0.0b	(- (exp (- x)) 2)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

Slowest

51.0ms	(+ (exp x) (- (exp (- x)) 2))
19.0ms	(- (exp (- x)) 2)

series95.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

68.0ms	(+ (exp x) (- (exp (- x)) 2))
26.0ms	(- (exp (- x)) 2)

simplify1.1s

Counts: 67 → 67

prune525.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch4.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.8s	5613×	body	1280	valid
1.1s	8144×	body	80	valid
479.0ms	1262×	body	640	valid
132.0ms	622×	body	320	valid
43.0ms	325×	body	160	valid