Details

sample137.0ms

Algorithm

intervals

Results

80.0ms	69×	body	10240	exit
31.0ms	281×	body	80	valid
4.0ms	6×	body	640	valid
3.0ms	2×	body	1280	valid
3.0ms	7×	body	320	valid
2.0ms	8×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(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))

series127.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

68.0ms	(- (log1p (exp x)) (* y x))
59.0ms	(log1p (exp x))

simplify2.2s

Counts: 40 → 40

prune453.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(sqrt (log1p (exp x)))
0.6b	(sqrt (log1p (exp x)))
0.5b	(fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))
0.3b	(log1p (exp x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
5×	`expm1-log1p-u`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`log1p-udef` `log1p-expm1` `fma-udef`

Counts

4 → 55

Calls

4 calls:

Slowest

2.0ms	(sqrt (log1p (exp x)))
2.0ms	(sqrt (log1p (exp x)))
1.0ms	(log1p (exp x))
0.0ms	(fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))
128.0ms	(sqrt (log1p (exp x)))
110.0ms	(sqrt (log1p (exp x)))
78.0ms	(log1p (exp x))

simplify1.3s

Counts: 67 → 67

prune696.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

15.4b	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (* y x) (fma (* y x) (* y x) (* (log1p (exp x)) (log1p (exp x))))))
0.7b	(* (log1p (exp x)) (log1p (exp x)))
0.7b	(* (log1p (exp x)) (log1p (exp x)))
0.3b	(* (* y x) (* y x))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
25×	`add-sqr-sqrt`
22×	`add-cbrt-cube` `add-exp-log`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow-prod-down`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow3`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `difference-cubes` `pow-plus` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow2` `associate-/r` `-commutative`
2×	`unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 130

Calls

4 calls:

Slowest

262.0ms	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (* y x) (fma (* y x) (* y x) (* (log1p (exp x)) (log1p (exp x))))))
46.0ms	(* (* y x) (* y x))
10.0ms	(* (log1p (exp x)) (log1p (exp x)))
6.0ms	(* (log1p (exp x)) (log1p (exp x)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

229.0ms	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (* y x) (fma (* y x) (* y x) (* (log1p (exp x)) (log1p (exp x))))))
74.0ms	(* (log1p (exp x)) (log1p (exp x)))
70.0ms	(* (log1p (exp x)) (log1p (exp x)))
45.0ms	(* (* y x) (* y x))

simplify2.7s

Counts: 142 → 142

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

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))

series91.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

58.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
33.0ms	(fma x (fma x 1/8 1/2) (log 2))

simplify2.3s

Counts: 39 → 39

prune340.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch4.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	2511×	body	10240	exit
1.1s	8444×	body	80	valid
146.0ms	128×	body	1280	valid
145.0ms	224×	body	640	valid
98.0ms	187×	body	320	valid
19.0ms	85×	body	160	valid