Details

sample64.0ms

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

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

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)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (log (+ 1.0 (exp x))) (* x y))
13.0ms	(+ 1.0 (exp x))
60.0ms	(log (+ 1.0 (exp x)))

simplify2.6s

Counts

54 → 54

Iterations

Useful iterations: 4 (698.0ms)

Iter	Nodes	Cost
0	92	575
1	211	544
2	523	514
3	1567	508
4	4821	506
done	5000	506

prune131.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

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 (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

2.0ms	(pow (exp x) 3)
13.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms	(- (exp x) 1.0)
8.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
87.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
13.0ms	(- (exp x) 1.0)
103.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify552.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	163	1025
1	360	918
2	1269	841
done	5000	841

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize13.0ms

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))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

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))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
7.0ms	(+ 1.0 (exp x))
98.0ms	(log (sqrt (+ 1.0 (exp x))))
100.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify470.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	80	764
1	159	724
2	356	656
3	1067	644
done	5001	644

prune202.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize14.0ms

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`
20×	`*-un-lft-identity`
13×	`log-pow`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
10×	`sqrt-div`
9×	`sqrt-pow1`
7×	`add-exp-log`
6×	`log-div` `add-log-exp`
5×	`pow1/2`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`rem-log-exp`
1×	`+-commutative` `sum-log`

Counts

4 → 82

Calls

4 calls:

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

series493.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
101.0ms	(log (sqrt (+ 1.0 (exp x))))
188.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
189.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify820.0ms

Counts

94 → 94

Iterations

Useful iterations: 3 (239.0ms)

Iter	Nodes	Cost
0	133	1110
1	250	1044
2	599	960
3	2071	946
done	5000	946

prune305.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes41.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	22	26
done	22	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

963.0ms	2443×	body	10240	exit
310.0ms	8371×	body	80	valid
81.0ms	165×	body	1280	valid
62.0ms	240×	body	640	valid
30.0ms	196×	body	320	valid
12.0ms	124×	body	160	valid