Details

sample52.0ms

Algorithm

intervals

Results

24.0ms	62×	body	10240	exit
9.0ms	261×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	7×	body	320	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

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

rewrite24.0ms

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))
11.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
64.0ms	(- (log (+ 1.0 (exp x))) (* x y))
64.0ms	(log (+ 1.0 (exp x)))

simplify1.5s

Counts

54 → 54

Iterations

Useful iterations: 4 (716.0ms)

Iter	Nodes	Cost
0	92	575
1	208	544
2	499	514
3	1195	508
4	2600	506
done	5000	506

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

11.0ms	(* 1/2 (pow x 2))
18.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
24.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 1/2 (pow x 2))
23.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
73.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
55.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify1.8s

Counts

83 → 83

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	152	1207
1	372	1093
2	1012	1009
3	3543	985
done	5000	982

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
0.0b	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
0.3b	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

21.0ms	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
1.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
3.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y))
106.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
66.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
51.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify1.8s

Counts

67 → 67

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	164	1417
1	406	1252
2	1155	1125
3	3821	1104
done	5000	1094

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`log-div` `add-log-exp`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 52

Calls

4 calls:

5.0ms	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
17.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
19.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

521.0ms	(exp (* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))))
53.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
55.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
54.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify721.0ms

Counts

64 → 64

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	192	1962
1	531	1860
2	1804	1652
done	5001	1553

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes66.0ms

Accuracy

0% (0.3b 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

921.0ms	2339×	body	10240	exit
305.0ms	8362×	body	80	valid
71.0ms	278×	body	640	valid
68.0ms	139×	body	1280	valid
30.0ms	200×	body	320	valid
9.0ms	97×	body	160	valid