Details

sample656.0ms

Algorithm

intervals

Results

380.0ms	205×	body	10240	exit
79.0ms	355×	body	80	nan
38.0ms	235×	body	80	valid
9.0ms	25×	body	160	valid

simplify1.7s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

Slowest

11.0ms	(sqrt (+ (exp x) 1))
8.0ms	(+ (exp x) 1)

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

64.0ms	(sqrt (+ (exp x) 1))
17.0ms	(+ (exp x) 1)

simplify1.1s

Counts: 45 → 45

prune397.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (+ (exp x) 1))
0.2b	(sqrt (expm1 (log1p (+ (exp x) 1))))
0.1b	(expm1 (log1p (+ (exp x) 1)))
0.0b	(+ (exp x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `add-log-exp`
5×	`expm1-log1p-u` `pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `sqrt-prod`
1×	`+-commutative` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `log1p-expm1` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

4 → 58

Calls

4 calls:

Slowest

15.0ms	(+ (exp x) 1)
1.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
0.0ms	(log1p (+ (exp x) 1))
0.0ms	(expm1 (log1p (+ (exp x) 1)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
127.0ms	(expm1 (log1p (+ (exp x) 1)))
94.0ms	(log1p (+ (exp x) 1))
14.0ms	(+ (exp x) 1)

simplify1.2s

Counts: 70 → 70

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (* E (exp (exp x))))
0.1b	(* E (exp (exp x)))
0.0b	(exp (exp x))
0.0b	(sqrt (log (* E (exp (exp x)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log-pow` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `rem-log-exp` `associate-r` `associate-l` `pow-prod-down`
2×	`e-exp-1`
1×	`rem-sqrt-square` `log-prod` `sqrt-pow1` `pow1/2` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 70

Calls

4 calls:

Slowest

19.0ms	(* E (exp (exp x)))
17.0ms	(log (* E (exp (exp x))))
17.0ms	(sqrt (log (* E (exp (exp x)))))
4.0ms	(exp (exp x))

series450.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

212.0ms	(sqrt (log (* E (exp (exp x)))))
150.0ms	(log (* E (exp (exp x))))
59.0ms	(* E (exp (exp x)))
30.0ms	(exp (exp x))

simplify1.5s

Counts: 82 → 82

prune779.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.5s	6661×	body	10240	exit
1.8s	12377×	body	80	nan
1.7s	7413×	body	80	valid
173.0ms	720×	body	160	valid