Details

sample122.0ms

Algorithm

intervals

Results

71.0ms	85×	body	10240	exit
21.0ms	264×	body	80	valid
7.0ms	7×	body	1280	valid
3.0ms	6×	body	640	valid
1.0ms	6×	body	160	valid
1.0ms	2×	body	320	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	22
1	15
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(- (log1p (exp x)) (* y x))

series68.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(- (log1p (exp x)) (* y x))

simplify3.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
4	3638
3	980
2	323
1	123
0	56

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.1b	(* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))
0.6b	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
17.8b	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

8.0ms	(- (log1p (exp x)) (* y x))
84.0ms	(* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))
31.0ms	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
43.0ms	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (log1p (exp x)) (* y x))
122.0ms	(* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))
87.0ms	(* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))
72.0ms	(cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))))

simplify2.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	3013
1	691
0	255

prune520.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y x) (* y x))
0.7b	(* (log1p (exp x)) (log1p (exp x)))
0.7b	(* (log1p (exp x)) (log1p (exp x)))
17.7b	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* y x) (* (* y x) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))

rewrite486.0ms

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`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `difference-cubes` `pow-plus` `cube-unmult` `pow3` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow2` `associate-/r` `-commutative`
2×	`associate-/r/` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 132

Calls

4 calls:

36.0ms	(* (* y x) (* y x))
11.0ms	(* (log1p (exp x)) (log1p (exp x)))
12.0ms	(* (log1p (exp x)) (log1p (exp x)))
423.0ms	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* y x) (* (* y x) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* y x) (* y x))
88.0ms	(* (log1p (exp x)) (log1p (exp x)))
101.0ms	(* (log1p (exp x)) (log1p (exp x)))
222.0ms	(/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* y x) (* (* y x) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5005
2	1833
1	474
0	169

prune547.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	2356×	body	10240	exit
985.0ms	8271×	body	80	valid
112.0ms	284×	body	640	valid
96.0ms	135×	body	1280	valid
47.0ms	192×	body	320	valid
19.0ms	130×	body	160	valid