Details

sample62.0ms

Algorithm

intervals

Results

34.0ms	85×	body	10240	exit
9.0ms	256×	body	80	valid
4.0ms	8×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	5×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

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))
0.5b	(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)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
64.0ms	(log (+ 1.0 (exp x)))

simplify753.0ms

Counts

71 → 71

Iterations

Useful iterations: done (751.0ms)

Iter	Nodes	Cost
0	105	724
1	236	686
2	620	635
3	2104	618
done	5000	614

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.5b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.5b	(- (exp x) 1.0)
6.0b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite25.0ms

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)
12.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.0ms	(- (exp x) 1.0)
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
91.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
14.0ms	(- (exp x) 1.0)
106.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify673.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	183	1228
1	390	1016
2	1445	884
done	5000	884

prune327.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
3.0ms	(log (sqrt (+ 1.0 (exp x))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
8.0ms	(+ 1.0 (exp x))
103.0ms	(log (sqrt (+ 1.0 (exp x))))
105.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify476.0ms

Counts

90 → 90

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	84	812
1	166	762
2	386	692
3	1194	682
done	5000	682

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.2b	(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
26×	`sqrt-prod`
21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow`
12×	`pow1`
10×	`sqrt-div`
9×	`sqrt-pow1`
7×	`add-exp-log`
6×	`log-div` `add-log-exp`
5×	`pow1/2`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `rem-log-exp`
1×	`+-commutative` `sum-log`

Counts

4 → 93

Calls

4 calls:

5.0ms	(+ 1.0 (exp x))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
4.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1.0 (exp x))
103.0ms	(log (sqrt (+ 1.0 (exp x))))
191.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
191.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify839.0ms

Counts

105 → 105

Iterations

Useful iterations: 3 (243.0ms)

Iter	Nodes	Cost
0	139	1166
1	260	1089
2	645	1000
3	2286	991
done	5000	991

prune355.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	17	24
done	17	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

997.0ms	2443×	body	10240	exit
311.0ms	8371×	body	80	valid
82.0ms	165×	body	1280	valid
63.0ms	240×	body	640	valid
31.0ms	196×	body	320	valid
12.0ms	124×	body	160	valid