Details

sample52.0ms

Algorithm

intervals

Results

27.0ms	67×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	4×	body	160	valid

simplify5.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series123.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (log (+ 1.0 (exp x))) (* x y))
63.0ms	(log (+ 1.0 (exp x)))

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 4 (779.0ms)

Iter	Nodes	Cost
0	83	463
1	179	437
2	436	415
3	1188	409
4	3751	407
done	5000	407

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x)) (log 2.0)) (* x y))
0.0b	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x))

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
4×	`associate-+l+` `sum-log`
3×	`sub-neg` `diff-log`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

2 → 30

Calls

2 calls:

514.0ms	(- (+ (+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x)) (log 2.0)) (* x y))
15.0ms	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x))

series215.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (+ (+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x)) (log 2.0)) (* x y))
148.0ms	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.5 x))

simplify1.5s

Counts

36 → 36

Iterations

Useful iterations: 3 (555.0ms)

Iter	Nodes	Cost
0	75	886
1	229	871
2	849	785
3	3602	686
done	5001	686

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))
0.7b	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
14.7b	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`log-prod`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-div` `log-div` `associate--l+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`associate--l-` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))
4.0ms	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
4.0ms	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

series306.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (log (+ 1.0 (exp x))) (* x y))
61.0ms	(log (+ 1.0 (exp x)))
125.0ms	(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
60.0ms	(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

simplify430.0ms

Counts

93 → 93

Iterations

Useful iterations: done (427.0ms)

Iter	Nodes	Cost
0	155	1610
1	363	1365
2	1118	1255
done	5000	1241

prune223.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (log 2.0) 2)
1.0b	(pow (log 2.0) 2)
1.0b	(pow (log 2.0) 3)
8.0b	(cbrt (+ (+ (pow (log 2.0) 3) (* 1.5 (* (pow (log 2.0) 2) x))) (* (pow x 2) (+ (* 0.75 (log 2.0)) (* 0.375 (pow (log 2.0) 2))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
11×	`pow1`
9×	`pow-unpow`
7×	`add-exp-log`
6×	`cbrt-div`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`cube-prod` `associate-*r/` `frac-add` `log-pow` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`
2×	`unpow2`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

1.0ms	(pow (log 2.0) 2)
1.0ms	(pow (log 2.0) 2)
1.0ms	(pow (log 2.0) 3)
45.0ms	(cbrt (+ (+ (pow (log 2.0) 3) (* 1.5 (* (pow (log 2.0) 2) x))) (* (pow x 2) (+ (* 0.75 (log 2.0)) (* 0.375 (pow (log 2.0) 2))))))

series628.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(pow (log 2.0) 2)
0.0ms	(pow (log 2.0) 2)
0.0ms	(pow (log 2.0) 3)
627.0ms	(cbrt (+ (+ (pow (log 2.0) 3) (* 1.5 (* (pow (log 2.0) 2) x))) (* (pow x 2) (+ (* 0.75 (log 2.0)) (* 0.375 (pow (log 2.0) 2))))))

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: 2 (288.0ms)

Iter	Nodes	Cost
0	189	2179
1	566	1936
2	2625	1810
done	5000	1810

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

999.0ms	2440×	body	10240	exit
317.0ms	8379×	body	80	valid
72.0ms	271×	body	640	valid
50.0ms	100×	body	1280	valid
30.0ms	190×	body	320	valid
12.0ms	123×	body	160	valid