Details

sample162.0ms

Algorithm

intervals

Results

105.0ms	105×	body	10240	exit
20.0ms	257×	body	80	valid
6.0ms	11×	body	640	valid
4.0ms	4×	body	1280	valid
2.0ms	6×	body	320	valid
0.0ms	2×	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: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

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:

15.0ms	(+ 1.0 (exp x))
12.0ms	(log (+ 1.0 (exp x)))
26.0ms	(- (log (+ 1.0 (exp x))) (* x y))

series221.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1.0 (exp x))
98.0ms	(log (+ 1.0 (exp x)))
110.0ms	(- (log (+ 1.0 (exp x))) (* x y))

simplify3.8s

Counts

71 → 71

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	105	724
1	237	686
2	579	635
3	1600	618
4	3762	590
done	5000	589

prune240.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

9.0ms	(+ 1.0 (exp x))
0.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
6.0ms	(log (+ 1.0 (exp x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
77.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
89.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

53 → 53

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	82	466
1	166	449
2	375	407
3	906	403
4	2292	400
done	5000	399

prune498.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
8×	`distribute-lft-out` `add-log-exp`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `associate-/r*`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `clear-num` `sum-log` `log-pow` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

10.0ms	(+ (exp x) 1.0)
35.0ms	(/ (+ (exp x) 1.0) (exp (* x y)))
4.0ms	(exp (* x y))
10.0ms	(log (/ (+ (exp x) 1.0) (exp (* x y))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (exp x) 1.0)
40.0ms	(/ (+ (exp x) 1.0) (exp (* x y)))
14.0ms	(exp (* x y))
58.0ms	(log (/ (+ (exp x) 1.0) (exp (* x y))))

simplify1.7s

Counts

105 → 105

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	127	1314
1	276	1244
2	658	1165
3	1702	1136
done	5000	1130

prune341.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.5s	2525×	body	10240	exit
1.0s	8378×	body	80	valid
111.0ms	176×	body	320	valid
100.0ms	151×	body	1280	valid
92.0ms	264×	body	640	valid
15.0ms	113×	body	160	valid