Details

sample59.0ms

Algorithm

intervals

Results

32.0ms	80×	body	10240	exit
10.0ms	258×	body	80	valid
3.0ms	11×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.2b	(log (+ 1.0 (exp x)))

rewrite13.0ms

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:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
66.0ms	(log (+ 1.0 (exp x)))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	105	724
1	235	686
2	584	635
3	1769	618
done	5000	596

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- x) y (log (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)
0.2b	(log (+ (exp x) 1.0))

rewrite9.0ms

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:

0.0ms	(fma (- x) y (log (+ (exp x) 1.0)))
4.0ms	(+ (exp x) 1.0)
4.0ms	(log (+ (exp x) 1.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma (- x) y (log (+ (exp x) 1.0)))
12.0ms	(+ (exp x) 1.0)
59.0ms	(log (+ (exp x) 1.0))

simplify1.7s

Counts

53 → 53

Iterations

Useful iterations: 4 (836.0ms)

Iter	Nodes	Cost
0	82	468
1	168	452
2	378	410
3	1044	406
4	3310	401
done	5000	401

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.3b	(log (+ (pow (exp x) 3) (pow 1.0 3)))
5.1b	(- 1.0 (exp x))
5.3b	(log (fma 1.0 (- 1.0 (exp x)) (exp (+ x x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`log-prod`
9×	`prod-diff`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg`
2×	`log-div` `rem-log-exp` `log-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

2.0ms	(pow (exp x) 3)
13.0ms	(log (+ (pow (exp x) 3) (pow 1.0 3)))
4.0ms	(- 1.0 (exp x))
1.0ms	(log (fma 1.0 (- 1.0 (exp x)) (exp (+ x x))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
91.0ms	(log (+ (pow (exp x) 3) (pow 1.0 3)))
13.0ms	(- 1.0 (exp x))
122.0ms	(log (fma 1.0 (- 1.0 (exp x)) (exp (+ x x))))

simplify657.0ms

Counts

104 → 104

Iterations

Useful iterations: done (654.0ms)

Iter	Nodes	Cost
0	183	1263
1	362	1022
2	1127	934
done	5001	920

prune562.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(log (+ (exp x) 1.0))
0.7b	(pow (log (+ (exp x) 1.0)) 3)
0.7b	(cbrt (pow (log (+ (exp x) 1.0)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
4.0ms	(log (+ (exp x) 1.0))
2.0ms	(pow (log (+ (exp x) 1.0)) 3)
2.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))

series257.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
67.0ms	(log (+ (exp x) 1.0))
117.0ms	(pow (log (+ (exp x) 1.0)) 3)
64.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: 3 (464.0ms)

Iter	Nodes	Cost
0	121	1060
1	270	868
2	804	800
3	3841	789
done	5000	789

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

993.0ms	2485×	body	10240	exit
302.0ms	8371×	body	80	valid
74.0ms	282×	body	640	valid
53.0ms	103×	body	1280	valid
28.0ms	178×	body	320	valid
13.0ms	141×	body	160	valid