Details

sample107.0ms

Algorithm

intervals

Results

64.0ms	70×	body	10240	exit
17.0ms	255×	body	80	valid
4.0ms	9×	body	640	valid
2.0ms	9×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	4×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite28.0ms

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:

6.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(log (+ 1.0 (exp x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1.0 (exp x))
87.0ms	(- (log (+ 1.0 (exp x))) (* x y))
102.0ms	(log (+ 1.0 (exp x)))

simplify1.7s

Counts

54 → 54

Iterations

Useful iterations: 3 (686.0ms)

Iter	Nodes	Cost
0	92	575
1	211	544
2	643	514
3	3055	508
done	5000	508

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp x) 3)
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.7b	(- (exp x) 1.0)
6.0b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

rewrite112.0ms

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:

5.0ms	(pow (exp x) 3)
38.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
21.0ms	(- (exp x) 1.0)
46.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (exp x) 3)
138.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
24.0ms	(- (exp x) 1.0)
132.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	163	1025
1	409	923
2	1588	845
done	5000	845

prune399.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (+ 1.0 (exp x)))
0.3b	(sqrt (+ 1.0 (exp x)))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

9.0ms	(sqrt (+ 1.0 (exp x)))
9.0ms	(sqrt (+ 1.0 (exp x)))
12.0ms	(log (sqrt (+ 1.0 (exp x))))
10.0ms	(log (sqrt (+ 1.0 (exp x))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ 1.0 (exp x)))
60.0ms	(sqrt (+ 1.0 (exp x)))
187.0ms	(log (sqrt (+ 1.0 (exp x))))
150.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (468.0ms)

Iter	Nodes	Cost
0	86	910
1	166	834
2	511	780
3	2680	776
done	5001	776

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.5b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

19.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
50.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
27.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
115.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
62.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify675.0ms

Counts

53 → 53

Iterations

Useful iterations: done (673.0ms)

Iter	Nodes	Cost
0	110	975
1	298	912
2	1171	833
done	5001	824

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	21	26
done	21	26

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.1s	2429×	body	10240	exit
654.0ms	8343×	body	80	valid
114.0ms	121×	body	1280	valid
111.0ms	282×	body	640	valid
45.0ms	181×	body	320	valid
18.0ms	120×	body	160	valid