Details

sample456.0ms

Algorithm

intervals

Results

263.0ms	1353×	body	80	nan
74.0ms	413×	body	80	valid
8.0ms	14×	body	320	valid
6.0ms	7×	body	640	valid
2.0ms	1×	body	1280	valid
2.0ms	5×	body	160	valid

simplify797.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
5	1059
4	334
3	127
2	58
1	30
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.4b	(log (- 1.0 z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`pow1`
7×	`sub-neg` `flip3--` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`add-cbrt-cube` `associate-r`
5×	`difference-of-squares`
4×	`frac-add` `insert-posit16`
3×	`associate-l` `log-pow`
2×	`log-div`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

12.0ms	(- (log z) t)
24.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series438.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (log z) t)
89.0ms	(* y (- (log z) t))
222.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
55.0ms	(log (- 1.0 z))

simplify878.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2001
2	1916
1	607
0	245

prune875.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

75×	`associate--l+`
28×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `log-prod`
25×	`*-un-lft-identity`
18×	`associate-+r+`
17×	`sub-neg` `add-cube-cbrt`
12×	`associate-*r/`
11×	`associate-r`
10×	`pow1` `associate-+l+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`distribute-lft-out--`
4×	`frac-add` `insert-posit16`
3×	`difference-of-squares`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+`

Counts

4 → 138

Calls

4 calls:

6.0ms	(- (log z) t)
333.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
19.0ms	(* y (- (log z) t))
86.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (log z) t)
126.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
82.0ms	(* y (- (log z) t))
243.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify727.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2001
1	670
0	265

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
0.2b	(* y (posit16->real (real->posit16 (- (log z) t))))
0.5b	(+ (* y (posit16->real (real->posit16 (- (log z) t)))) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
50.3b	(posit16->real (real->posit16 (- (log z) t)))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

60×	`associate--l+`
18×	`distribute-rgt-in` `add-sqr-sqrt` `associate-+r+` `distribute-lft-in`
14×	`*-un-lft-identity`
12×	`log-prod` `sub-neg` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `remove-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

284.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
5.0ms	(* y (posit16->real (real->posit16 (- (log z) t))))
67.0ms	(+ (* y (posit16->real (real->posit16 (- (log z) t)))) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
0.0ms	(posit16->real (real->posit16 (- (log z) t)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
92.0ms	(* y (posit16->real (real->posit16 (- (log z) t))))
274.0ms	(+ (* y (posit16->real (real->posit16 (- (log z) t)))) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
105.0ms	(posit16->real (real->posit16 (- (log z) t)))

simplify788.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
2	1426
1	443
0	198

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
9×	`pow1` `log-prod` `associate--l+`
7×	`add-cbrt-cube`
6×	`associate-l` `add-exp-log`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`distribute-lft-out--` `add-log-exp`
3×	`sub-neg` `insert-posit16`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`diff-log` `exp-sum`

Counts

3 → 73

Calls

3 calls:

57.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
11.0ms	(- (log z) t)
34.0ms	(* y (- (log z) t))

series382.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
90.0ms	(- (log z) t)
104.0ms	(* y (- (log z) t))

simplify521.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
2	878
1	333
0	149

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes416.0ms

Accuracy

-1.3% (5.1b remaining)

Error of 5.2b against oracle of 0.1b and baseline of 5.1b

bsearch518.0ms

Steps

Iters	Range		Point
4	9.523275404047412e-253	1.7571125109471904e-252	1.1968319162136127e-252
9	-2.0338044279408493e-117	-5.682579912637871e-126	-2.495491239283955e-125

simplify11.0ms

Iterations

Iter	Nodes
done	49
1	49
0	36

end0.0ms

sample13.3s

Algorithm

intervals

Results

6.7s	41494×	body	80	nan
2.4s	12560×	body	80	valid
644.0ms	379×	body	640	valid
219.0ms	399×	body	320	valid
133.0ms	281×	body	160	valid
100.0ms	63×	body	1280	valid