Details

sample126.0ms

Algorithm

intervals

Results

68.0ms	71×	body	10240	exit
20.0ms	267×	body	80	valid
7.0ms	6×	body	1280	valid
6.0ms	11×	body	640	valid
2.0ms	8×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

10.0ms	(+ 1.0 (exp x))
8.0ms	(log (+ 1.0 (exp x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1.0 (exp x))
104.0ms	(log (+ 1.0 (exp x)))

simplify1.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	1542
2	400
1	142
0	65

prune178.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (pow (exp x) 3) (pow 1.0 3))) (log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
0.5b	(log (+ (pow (exp x) 3) (pow 1.0 3)))
5.1b	(- (exp x) 1.0)
5.6b	(log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`prod-diff`
24×	`log-prod` `add-cube-cbrt`
19×	`pow1`
15×	`log-pow`
10×	`distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `cube-prod`
7×	`fma-neg`
6×	`add-exp-log` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3-+` `flip3--` `diff-log` `rem-log-exp` `sum-cubes` `flip-+` `flip--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

28.0ms	(- (log (+ (pow (exp x) 3) (pow 1.0 3))) (log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
27.0ms	(log (+ (pow (exp x) 3) (pow 1.0 3)))
9.0ms	(- (exp x) 1.0)
1.0ms	(log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(- (log (+ (pow (exp x) 3) (pow 1.0 3))) (log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
144.0ms	(log (+ (pow (exp x) 3) (pow 1.0 3)))
18.0ms	(- (exp x) 1.0)
131.0ms	(log (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))

simplify1.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	1849
1	483
0	209

prune937.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (fma 1/2 x 1) x 2.0)
0.0b	(fma (- y) x (log (fma (fma 1/2 x 1) x 2.0)))
5.4b	(log (fma (fma 1/2 x 1) x 2.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

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

series194.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (fma 1/2 x 1) x 2.0)
87.0ms	(fma (- y) x (log (fma (fma 1/2 x 1) x 2.0)))
77.0ms	(log (fma (fma 1/2 x 1) x 2.0))

simplify1.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	2066
2	500
1	170
0	81

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 0.5 y) (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (- 0.5 y) (log 2.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(fma x (- 0.5 y) (log 2.0))

simplify2.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4257
3	374
2	76
1	38
0	23

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.5s	2545×	body	10240	exit
626.0ms	8456×	body	80	valid
170.0ms	117×	body	1280	valid
122.0ms	268×	body	640	valid
99.0ms	173×	body	320	valid
13.0ms	88×	body	160	valid