Details

sample148.0ms

Algorithm

intervals

Results

76.0ms	71×	body	10240	exit
46.0ms	270×	body	80	valid
4.0ms	9×	body	320	valid
4.0ms	3×	body	1280	valid
2.0ms	4×	body	640	valid
1.0ms	4×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	19
2	19
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.7b	(log (+ 1 (exp x)))

rewrite19.0ms

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` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

9.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(+ 1 (exp x))
4.0ms	(log (+ 1 (exp x)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (log (+ 1 (exp x))) (* x y))
15.0ms	(+ 1 (exp x))
91.0ms	(log (+ 1 (exp x)))

simplify1.8s

Counts

57 → 57

Iterations

Iter	Nodes
4	3082
3	1103
2	435
1	189
0	84

prune656.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(- (log (sqrt (+ 1 (exp x)))) (* x y))
1.5b	(log (sqrt (+ 1 (exp x))))
1.5b	(log (sqrt (+ 1 (exp x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
18×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`associate--l+` `add-log-exp`
6×	`log-div` `sqrt-div` `add-exp-log` `log-pow`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 77

Calls

4 calls:

9.0ms	(+ 1 (exp x))
12.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
4.0ms	(log (sqrt (+ 1 (exp x))))
5.0ms	(log (sqrt (+ 1 (exp x))))

series480.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1 (exp x))
162.0ms	(- (log (sqrt (+ 1 (exp x)))) (* x y))
139.0ms	(log (sqrt (+ 1 (exp x))))
163.0ms	(log (sqrt (+ 1 (exp x))))

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
4	3504
3	1349
2	544
1	229
0	109

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (+ 1 (exp x)))
1.0b	(cbrt (- (log (+ 1 (exp x))) (* x y)))
1.0b	(cbrt (- (log (+ 1 (exp x))) (* x y)))
1.0b	(cbrt (- (log (+ 1 (exp x))) (* x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`log-prod` `add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 58

Calls

4 calls:

5.0ms	(log (+ 1 (exp x)))
3.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))
3.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))
3.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (+ 1 (exp x)))
355.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))
336.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))
328.0ms	(cbrt (- (log (+ 1 (exp x))) (* x y)))

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
3	4776
2	1015
1	323
0	134

prune999.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* x (* x 1/2)))
0.0b	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
6.6b	(log (+ 2 (+ x (* x (* x 1/2)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16`
2×	`associate--l-` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

12.0ms	(+ x (* x (* x 1/2)))
23.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
13.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (* x (* x 1/2)))
74.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
46.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
3	3030
2	909
1	292
0	115

prune535.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

regimes81.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	10

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.9s	2358×	body	10240	exit
892.0ms	8435×	body	80	valid
120.0ms	233×	body	640	valid
107.0ms	118×	body	1280	valid
72.0ms	212×	body	320	valid
27.0ms	120×	body	160	valid