Details

sample85.0ms

Algorithm

intervals

Results

44.0ms	72×	body	10240	exit
17.0ms	278×	body	80	valid
4.0ms	8×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	2×	body	1280	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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize21.0ms

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)))

rewrite56.0ms

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:

14.0ms	(+ 1.0 (exp x))
27.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(log (+ 1.0 (exp x)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
94.0ms	(- (log (+ 1.0 (exp x))) (* x y))
98.0ms	(log (+ 1.0 (exp x)))

simplify3.0s

Counts

71 → 71

Iterations

Useful iterations: done (3.0s)

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

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

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)))

rewrite19.0ms

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:

0.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
11.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
9.0ms	(+ 1.0 (exp x))
71.0ms	(log (+ 1.0 (exp x)))

simplify2.2s

Counts

53 → 53

Iterations

Useful iterations: done (2.2s)

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

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize27.0ms

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))))

rewrite48.0ms

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:

5.0ms	(pow (exp x) 3)
27.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
13.0ms	(- (exp x) 1.0)
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (exp x) 3)
116.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
20.0ms	(- (exp x) 1.0)
147.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

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

prune422.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize44.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (pow (exp x) 3) (pow 1.0 3))
4.6b	(- (exp x) 1.0)
5.4b	(log (fma (pow (exp x) 3) (- (pow (exp x) 3) (pow 1.0 3)) (pow 1.0 6)))
5.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

153×	`prod-diff`
114×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
88×	`add-cube-cbrt`
87×	`unpow-prod-down` `cube-prod`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
17×	`difference-of-squares`
15×	`fma-neg`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `log-prod` `distribute-lft-out--`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`
1×	`difference-cubes`

Counts

4 → 248

Calls

4 calls:

48.0ms	(- (pow (exp x) 3) (pow 1.0 3))
13.0ms	(- (exp x) 1.0)
1.0ms	(log (fma (pow (exp x) 3) (- (pow (exp x) 3) (pow 1.0 3)) (pow 1.0 6)))
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (pow (exp x) 3) (pow 1.0 3))
26.0ms	(- (exp x) 1.0)
272.0ms	(log (fma (pow (exp x) 3) (- (pow (exp x) 3) (pow 1.0 3)) (pow 1.0 6)))
117.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify1.3s

Counts

260 → 260

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	310	7340
1	639	4204
2	1575	3222
done	5001	2633

prune936.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes68.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	47
1	26	47
done	26	47

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	2339×	body	10240	exit
656.0ms	8438×	body	80	valid
417.0ms	112×	body	1280	valid
96.0ms	246×	body	640	valid
45.0ms	193×	body	320	valid
12.0ms	89×	body	160	valid