Details

sample98.0ms

Algorithm

intervals

Results

50.0ms	72×	body	10240	exit
20.0ms	278×	body	80	valid
4.0ms	8×	body	640	valid
2.0ms	2×	body	1280	valid
2.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
1.2b	(log (+ 1.0 (exp x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

13.0ms	(+ 1.0 (exp x))
26.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(log (+ 1.0 (exp x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1.0 (exp x))
93.0ms	(- (log (+ 1.0 (exp x))) (* x y))
117.0ms	(log (+ 1.0 (exp x)))

simplify2.8s

Counts

71 → 71

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	105	724
1	237	686
2	579	635
3	1589	618
4	3745	590
done	5000	589

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x) (log (+ 1.0 (exp x))))
0.0b	(+ 1.0 (exp x))
1.2b	(log (+ 1.0 (exp x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log` `log-prod`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow` `fma-udef`

Counts

3 → 44

Calls

3 calls:

1.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
12.0ms	(+ 1.0 (exp x))
17.0ms	(log (+ 1.0 (exp x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
13.0ms	(+ 1.0 (exp x))
93.0ms	(log (+ 1.0 (exp x)))

simplify2.6s

Counts

53 → 53

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	82	466
1	166	449
2	375	407
3	903	403
4	2290	400
done	5001	399

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
1.2b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.6b	(- (exp x) 1.0)
5.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`log-prod`
9×	`prod-diff`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg`
2×	`log-div` `rem-log-exp` `log-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

9.0ms	(pow (exp x) 3)
42.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
13.0ms	(- (exp x) 1.0)
2.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (exp x) 3)
156.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
24.0ms	(- (exp x) 1.0)
166.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	183	1228
1	376	1016
2	1017	893
done	5000	890

prune482.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)
5.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
5.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `log-prod` `fma-neg`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

21.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)
2.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
2.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (exp x) 1.0)
32.0ms	(- (exp x) 1.0)
160.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
137.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	100	1300
1	202	1114
2	419	928
3	1172	836
4	3650	806
done	5000	804

prune593.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	17	36
1	23	35
done	23	33

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.9s	2339×	body	10240	exit
1.1s	8438×	body	80	valid
107.0ms	246×	body	640	valid
94.0ms	112×	body	1280	valid
53.0ms	193×	body	320	valid
15.0ms	89×	body	160	valid