Details

sample115.0ms

Algorithm

intervals

Results

57.0ms	71×	body	10240	exit
21.0ms	267×	body	80	valid
6.0ms	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

11.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ 1.0 (exp x))
141.0ms	(log (+ 1.0 (exp x)))

simplify1.4s

Counts

40 → 40

Iterations

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

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.4b	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))
0.5b	(log (/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
5.1b	(- (exp x) 1.0)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
54×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
35×	`distribute-lft-out`
31×	`log-prod` `unpow-prod-down` `cube-prod`
9×	`prod-diff` `add-exp-log` `associate-/l*`
7×	`add-cbrt-cube` `sum-cubes`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `associate-/r*` `fma-neg`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `log-div` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `unpow3` `pow-exp` `log-pow` `flip-+` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

7.0ms	(pow (exp x) 3)
81.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))
21.0ms	(log (/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
18.0ms	(- (exp x) 1.0)

series347.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (exp x) 3)
101.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0)))
188.0ms	(log (/ (+ (pow (exp x) 3) (pow 1.0 3)) (fma (- (exp x) 1.0) (exp x) (* 1.0 1.0))))
25.0ms	(- (exp x) 1.0)

simplify1.6s

Counts

167 → 167

Iterations

Iter	Nodes
done	5001
2	2245
1	562
0	230

prune967.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- y) x (log (fma 1.0 x (fma x (* x 0.5) 2.0))))
0.0b	(fma 1.0 x (fma x (* x 0.5) 2.0))
5.4b	(log (fma 1.0 x (fma x (* x 0.5) 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 (- y) x (log (fma 1.0 x (fma x (* x 0.5) 2.0))))
0.0ms	(fma 1.0 x (fma x (* x 0.5) 2.0))
2.0ms	(log (fma 1.0 x (fma x (* x 0.5) 2.0)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(fma (- y) x (log (fma 1.0 x (fma x (* x 0.5) 2.0))))
32.0ms	(fma 1.0 x (fma x (* x 0.5) 2.0))
148.0ms	(log (fma 1.0 x (fma x (* x 0.5) 2.0)))

simplify1.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3629
2	665
1	194
0	89

prune314.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize18.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

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

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes111.0ms

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	16
1	16
0	15

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.9s	2545×	body	10240	exit
1.0s	8456×	body	80	valid
151.0ms	268×	body	640	valid
104.0ms	173×	body	320	valid
93.0ms	117×	body	1280	valid
57.0ms	88×	body	160	valid