Details

sample176.0ms

Algorithm

intervals

Results

94.0ms	84×	body	10240	exit
44.0ms	262×	body	80	valid
8.0ms	11×	body	640	valid
6.0ms	5×	body	1280	valid
4.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(log1p (exp x))
0.0b	(- (log1p (exp x)) (* y x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `fma-neg` `prod-diff`
2×	`pow1` `log1p-udef` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `log1p-expm1` `flip--`

Counts

2 → 34

Calls

2 calls:

Slowest

5.0ms	(- (log1p (exp x)) (* y x))
0.0ms	(log1p (exp x))

series172.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(log1p (exp x))
79.0ms	(- (log1p (exp x)) (* y x))

simplify2.3s

Counts: 40 → 40

prune405.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
0.0b	(fma x (fma x 1/8 1/2) (log 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 33

Calls

2 calls:

Slowest

5.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))

series122.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
41.0ms	(fma x (fma x 1/8 1/2) (log 2))

simplify3.9s

Counts: 39 → 39

prune441.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))
0.7b	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
0.2b	(log1p (exp x))
0.2b	(log1p (exp x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

33×	`flip3--` `flip--`
32×	`frac-times`
26×	`cbrt-div`
16×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
6×	`expm1-log1p-u` `add-cbrt-cube` `prod-diff` `add-exp-log`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`log1p-udef` `sub-neg` `log1p-expm1`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

Slowest

39.0ms	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
37.0ms	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))
1.0ms	(log1p (exp x))
1.0ms	(log1p (exp x))

series318.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
82.0ms	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))
56.0ms	(log1p (exp x))
51.0ms	(log1p (exp x))

simplify756.0ms

Counts: 121 → 121

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 3 expressions with local error:

37.2b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
0.0b	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
0.0b	(fma x (fma x 1/8 1/2) (log 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `remove-posit16` `flip--`

Counts

3 → 43

Calls

3 calls:

Slowest

9.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
0.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))

series125.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

56.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
36.0ms	(fma x (fma x 1/8 1/2) (log 2))
32.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

simplify2.0s

Counts: 52 → 52

prune911.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	2442×	body	10240	exit
1.5s	8443×	body	80	valid
149.0ms	268×	body	640	valid
118.0ms	126×	body	1280	valid
64.0ms	182×	body	320	valid
21.0ms	95×	body	160	valid