Details

sample115.0ms

Algorithm

intervals

Results

58.0ms	85×	body	10240	exit
30.0ms	272×	body	80	valid
2.0ms	6×	body	640	valid
2.0ms	2×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	23	9
done	23	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.6b	(log (+ 1.0 (exp x)))

rewrite29.0ms

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:

7.0ms	(+ 1.0 (exp x))
14.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(log (+ 1.0 (exp x)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1.0 (exp x))
111.0ms	(- (log (+ 1.0 (exp x))) (* x y))
128.0ms	(log (+ 1.0 (exp x)))

simplify3.0s

Counts

71 → 71

Iterations

Useful iterations: 2 (1.6s)

Iter	Nodes	Cost
0	105	724
1	399	678
2	4117	631
done	5000	631

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- x) y (log (+ 1.0 (exp x))))
0.0b	(+ 1.0 (exp x))
0.6b	(log (+ 1.0 (exp x)))

rewrite26.0ms

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

series237.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma (- x) y (log (+ 1.0 (exp x))))
9.0ms	(+ 1.0 (exp x))
118.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

53 → 53

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	84	468
1	295	446
2	3274	405
done	5000	401

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- x) y (log (fma x (fma x 1/2 1) 2.0)))
5.8b	(log (fma x (fma x 1/2 1) 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

2 → 24

Calls

2 calls:

1.0ms	(fma (- x) y (log (fma x (fma x 1/2 1) 2.0)))
3.0ms	(log (fma x (fma x 1/2 1) 2.0))

series223.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma (- x) y (log (fma x (fma x 1/2 1) 2.0)))
101.0ms	(log (fma x (fma x 1/2 1) 2.0))

simplify1.7s

Counts

30 → 30

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	73	449
1	298	431
done	5001	378

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* 2 (log (/ -1 x))))
0.0b	(- (/ 2 x) (fma x y (* 2 (log (/ -1 x)))))
0.0b	(+ (- (/ 2 x) (fma x y (* 2 (log (/ -1 x))))) (log 1/2))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
78×	`prod-diff`
65×	`times-frac`
41×	`associate-+l+`
13×	`fma-neg`
8×	`add-log-exp`
7×	`div-inv`
6×	`fma-def`
5×	`pow1`
4×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `log-prod` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `sum-log` `log-pow` `fma-udef`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+`

Counts

3 → 149

Calls

3 calls:

0.0ms	(fma x y (* 2 (log (/ -1 x))))
30.0ms	(- (/ 2 x) (fma x y (* 2 (log (/ -1 x)))))
152.0ms	(+ (- (/ 2 x) (fma x y (* 2 (log (/ -1 x))))) (log 1/2))

series332.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(fma x y (* 2 (log (/ -1 x))))
76.0ms	(- (/ 2 x) (fma x y (* 2 (log (/ -1 x)))))
118.0ms	(+ (- (/ 2 x) (fma x y (* 2 (log (/ -1 x))))) (log 1/2))

simplify3.3s

Counts

158 → 158

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	186	6114
1	2120	3198
done	5001	3106

prune713.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	11	12
1	15	11
done	15	9

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.0s	2437×	body	10240	exit
770.0ms	8408×	body	80	valid
112.0ms	279×	body	640	valid
92.0ms	125×	body	1280	valid
40.0ms	161×	body	320	valid
18.0ms	119×	body	160	valid