Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify31.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

Slowest

30.0ms	(/ 2 (+ (exp x) (exp (- x))))
10.0ms	(+ (exp x) (exp (- x)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

42.0ms	(/ 2 (+ (exp x) (exp (- x))))
37.0ms	(+ (exp x) (exp (- x)))

simplify1.3s

Counts: 60 → 60

prune459.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (fma (exp x) (exp x) 1) (exp x))
0.0b	(expm1 (log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))))
0.0b	(log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x))))
0.0b	(/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
11×	`add-cbrt-cube`
9×	`add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`expm1-log1p-u`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `associate-/r/` `expm1-udef`

Counts

4 → 127

Calls

4 calls:

Slowest

20.0ms	(/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))
11.0ms	(/ (fma (exp x) (exp x) 1) (exp x))
1.0ms	(log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x))))
0.0ms	(expm1 (log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))))

series562.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(expm1 (log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))))
195.0ms	(log1p (/ 2 (/ (fma (exp x) (exp x) 1) (exp x))))
81.0ms	(/ 2 (/ (fma (exp x) (exp x) 1) (exp x)))
81.0ms	(/ (fma (exp x) (exp x) 1) (exp x))

simplify1.8s

Counts: 139 → 139

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample725.0ms

Algorithm

intervals

Results

618.0ms

8000×

body

valid