Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	77×	body	10240	exit
15.0ms	278×	body	80	valid
4.0ms	6×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	160	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: 0.8b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ 1.0 (exp x))
92.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

33 → 33

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	61	292
1	129	279
2	289	257
3	608	255
4	1250	253
5	2434	253
done	5000	251

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
0.7b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.1b	(- (exp x) 1.0)
4.8b	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `distribute-lft-out`
9×	`associate--l+`
8×	`add-cube-cbrt` `unpow-prod-down` `log-div` `cube-prod`
6×	`add-exp-log` `log-pow` `add-log-exp`
5×	`distribute-lft-out--`
4×	`flip3-+` `add-cbrt-cube` `flip-+`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-cubes` `flip--` `associate--r-` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

59.0ms	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
28.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
15.0ms	(- (exp x) 1.0)
33.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
119.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
24.0ms	(- (exp x) 1.0)
149.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (679.0ms)

Iter	Nodes	Cost
0	171	1860
1	370	1732
2	949	1634
3	3229	1621
done	5000	1621

prune382.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp x) 1.0)
4.1b	(- (exp x) 1.0)
4.1b	(- (exp x) 1.0)
4.9b	(log (+ (* (* (exp x) (- (exp x) 1.0)) (* (exp x) (- (exp x) 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
23×	`flip3--` `flip--`
18×	`log-div`
16×	`frac-add`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
8×	`frac-times`
5×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`associate-*l/` `add-cbrt-cube`
3×	`sub-neg` `log-prod` `diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 72

Calls

4 calls:

18.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)
257.0ms	(log (+ (* (* (exp x) (- (exp x) 1.0)) (* (exp x) (- (exp x) 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)
199.0ms	(log (+ (* (* (exp x) (- (exp x) 1.0)) (* (exp x) (- (exp x) 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	202	3977
1	693	3271
2	3493	2892
done	5001	2828

prune611.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.5b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `sum-log`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `associate-+r+` `rem-log-exp` `log-pow`

Counts

2 → 27

Calls

2 calls:

28.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
19.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
65.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify1.5s

Counts

33 → 33

Iterations

Useful iterations: 3 (591.0ms)

Iter	Nodes	Cost
0	76	556
1	200	529
2	622	462
3	2304	455
done	5000	455

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes40.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	65
1	34	65
done	34	65

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.9s	2432×	body	10240	exit
945.0ms	8361×	body	80	valid
106.0ms	256×	body	640	valid
97.0ms	134×	body	1280	valid
46.0ms	186×	body	320	valid
16.0ms	103×	body	160	valid