Details

sample123.0ms

Algorithm

intervals

Results

69.0ms	83×	body	10240	exit
25.0ms	263×	body	80	valid
5.0ms	10×	body	640	valid
5.0ms	5×	body	1280	valid
2.0ms	8×	body	320	valid
2.0ms	7×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	19
2	19
1	12
0	8

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.3b	(log (+ 1 (exp x)))

rewrite17.0ms

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:

8.0ms	(- (log (+ 1 (exp x))) (* x y))
4.0ms	(+ 1 (exp x))
4.0ms	(log (+ 1 (exp x)))

series421.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (log (+ 1 (exp x))) (* x y))
13.0ms	(+ 1 (exp x))
342.0ms	(log (+ 1 (exp x)))

simplify1.6s

Counts

57 → 57

Iterations

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

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (exp x) (exp x)) (+ -1 (exp x)))
0.3b	(log (+ (exp (* 3 x)) 1))
4.0b	(+ -1 (exp x))
4.3b	(log (- (* (exp x) (exp x)) (+ -1 (exp x))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `log-prod`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube` `insert-posit16`
2×	`sum-log` `flip3-+` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate--r+`

Counts

4 → 61

Calls

4 calls:

26.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
7.0ms	(log (+ (exp (* 3 x)) 1))
5.0ms	(+ -1 (exp x))
28.0ms	(log (- (* (exp x) (exp x)) (+ -1 (exp x))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* (exp x) (exp x)) (+ -1 (exp x)))
72.0ms	(log (+ (exp (* 3 x)) 1))
19.0ms	(+ -1 (exp x))
134.0ms	(log (- (* (exp x) (exp x)) (+ -1 (exp x))))

simplify2.0s

Counts

73 → 73

Iterations

Iter	Nodes
3	2574
2	860
1	291
0	132

prune857.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2 (+ x (* x (* x 1/2))))
0.0b	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
6.3b	(log (+ 2 (+ x (* x (* x 1/2)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

14.0ms	(+ 2 (+ x (* x (* x 1/2))))
11.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
11.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

series111.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ 2 (+ x (* x (* x 1/2))))
59.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
32.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

simplify1.1s

Counts

59 → 59

Iterations

Iter	Nodes
3	2923
2	819
1	274
0	108

prune510.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2 (+ x (* x (* x 1/2))))
0.0b	(- (log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))) (* x y))
6.3b	(log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2)))))))
12.7b	(posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

18.0ms	(+ 2 (+ x (* x (* x 1/2))))
12.0ms	(- (log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))) (* x y))
2.0ms	(log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2)))))))
1.0ms	(posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 2 (+ x (* x (* x 1/2))))
70.0ms	(- (log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))) (* x y))
45.0ms	(log (posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2)))))))
26.0ms	(posit16->real (real->posit16 (+ 2 (+ x (* x (* x 1/2))))))

simplify1.2s

Counts

65 → 65

Iterations

Iter	Nodes
3	3352
2	894
1	278
0	111

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.5s	2370×	body	10240	exit
891.0ms	8423×	body	80	valid
169.0ms	277×	body	640	valid
93.0ms	107×	body	1280	valid
62.0ms	189×	body	320	valid
19.0ms	93×	body	160	valid