Details

sample67.0ms

Algorithm

intervals

Results

29.0ms	61×	body	10240	exit
12.0ms	264×	body	80	valid
4.0ms	13×	body	640	valid
3.0ms	4×	body	1280	valid
2.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `associate--l+`
3×	`pow1` `add-exp-log` `add-log-exp`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

2 → 33

Calls

2 calls:

16.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(- (log (+ 1.0 (exp x))) (* x y))
69.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 4 (919.0ms)

Iter	Nodes	Cost
0	83	463
1	181	437
2	415	415
3	980	409
4	2013	407
done	5001	407

prune145.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

35×	`log-prod`
27×	`*-un-lft-identity`
20×	`sqrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `associate--l+`
9×	`pow1` `associate-+r+`
8×	`log-div` `sqrt-div`
7×	`associate-+l+` `log-pow` `distribute-lft-out` `add-log-exp`
6×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-cbrt-cube`
2×	`associate--l-` `associate-+l-` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--`

Counts

4 → 94

Calls

4 calls:

32.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
77.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
210.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
141.0ms	(log (sqrt (+ 1.0 (exp x))))
150.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.8s

Counts

106 → 106

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	135	1638
1	309	1425
2	737	1316
3	2318	1219
done	5000	1214

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `associate--l+`
3×	`pow1` `add-exp-log` `add-log-exp`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

2 → 33

Calls

2 calls:

29.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(log (+ 1.0 (exp x)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(- (log (+ 1.0 (exp x))) (* x y))
74.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 4 (898.0ms)

Iter	Nodes	Cost
0	83	463
1	181	437
2	415	415
3	980	409
4	2013	407
done	5001	407

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 0.5 (* 0.125 x)))
0.0b	(+ (* x (+ 0.5 (* 0.125 x))) (log 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-+r+` `log-prod` `associate-r` `associate-l` `add-log-exp`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

17.0ms	(* x (+ 0.5 (* 0.125 x)))
22.0ms	(+ (* x (+ 0.5 (* 0.125 x))) (log 2.0))

series178.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(* x (+ 0.5 (* 0.125 x)))
53.0ms	(+ (* x (+ 0.5 (* 0.125 x))) (log 2.0))

simplify3.1s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	82	537
1	225	504
2	751	466
3	3349	461
done	5000	461

prune99.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	15	9
done	15	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	2379×	body	10240	exit
397.0ms	8420×	body	80	valid
88.0ms	256×	body	640	valid
73.0ms	119×	body	1280	valid
38.0ms	195×	body	320	valid
13.0ms	108×	body	160	valid