Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	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

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: 0.2b

localize8.0ms

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)))

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)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
67.0ms	(log (+ 1.0 (exp x)))

simplify2.2s

Counts

54 → 54

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	92	575
1	206	544
2	501	540
3	1364	508
4	4237	506
done	5001	506

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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)
14.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms	(- (exp x) 1.0)
9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp x) 3)
293.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
15.0ms	(- (exp x) 1.0)
113.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify633.0ms

Counts

86 → 86

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	163	1025
1	344	918
2	1046	841
done	5000	828

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (exp x) 1.0)
5.3b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
5.3b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
5.3b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

4.0ms	(- (exp x) 1.0)
9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (exp x) 1.0)
115.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
110.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
114.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (179.0ms)

Iter	Nodes	Cost
0	81	1167
1	177	1129
2	441	986
3	1119	963
4	3795	963
done	5001	963

prune343.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
5.3b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
5.4b	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
5.4b	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `log-div` `log-pow`
6×	`sqrt-prod`
4×	`flip3-+` `sqrt-div` `rem-log-exp` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sqrt-pow1` `pow1/2`

Counts

4 → 66

Calls

4 calls:

9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
9.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
9.0ms	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
11.0ms	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
109.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
161.0ms	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
163.0ms	(log (sqrt (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))

simplify941.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	96	1688
1	192	1622
2	472	1426
3	1684	1386
done	5000	1386

prune430.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	70
1	30	70
done	30	70

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2485×	body	10240	exit
304.0ms	8371×	body	80	valid
74.0ms	282×	body	640	valid
51.0ms	103×	body	1280	valid
28.0ms	178×	body	320	valid
13.0ms	141×	body	160	valid