Details

sample507.0ms

Algorithm

intervals

Results

154.0ms	131×	body	1280	valid
137.0ms	66×	body	2560	valid
121.0ms	68×	body	10240	exit
48.0ms	33×	body	640	valid
16.0ms	324×	pre	80	true
3.0ms	6×	body	320	valid
3.0ms	19×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	918
3	248
2	104
1	43
0	17

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.7b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
1.4b	(- (exp (* b eps)) 1)
2.2b	(- (exp (* a eps)) 1)
2.8b	(- (exp (* (+ a b) eps)) 1)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

95.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
12.0ms	(- (exp (* b eps)) 1)
17.0ms	(- (exp (* a eps)) 1)
13.0ms	(- (exp (* (+ a b) eps)) 1)

series248.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
54.0ms	(- (exp (* b eps)) 1)
49.0ms	(- (exp (* a eps)) 1)
75.0ms	(- (exp (* (+ a b) eps)) 1)

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	2449
1	416
0	154

prune680.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 47.4b

localize85.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* (+ a b) eps)) 1)
4.1b	(* (* (* eps eps) eps) b)
4.1b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* (* (* eps b) (* eps b)) 1/2) (* eps b)) (* (* (* (* (* eps eps) eps) b) (* b b)) 1/6))))
8.6b	(* (* (* (* eps eps) eps) b) (* b b))

rewrite854.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-cbrt-cube` `add-exp-log`
45×	`pow1`
34×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `associate-/r/`
6×	`add-log-exp`
5×	`flip3--` `add-cube-cbrt` `flip--`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-r` `associate-*r/` `insert-posit16`
3×	`flip3-+` `flip-+`
2×	`associate-l` `associate-l/` `-commutative` `difference-of-squares` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `times-frac` `diff-log` `difference-of-sqr-1` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 106

Calls

4 calls:

22.0ms	(- (exp (* (+ a b) eps)) 1)
57.0ms	(* (* (* eps eps) eps) b)
532.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* (* (* eps b) (* eps b)) 1/2) (* eps b)) (* (* (* (* (* eps eps) eps) b) (* b b)) 1/6))))
238.0ms	(* (* (* (* eps eps) eps) b) (* b b))

series2.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (exp (* (+ a b) eps)) 1)
36.0ms	(* (* (* eps eps) eps) b)
1.9s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* (* (* eps b) (* eps b)) 1/2) (* eps b)) (* (* (* (* (* eps eps) eps) b) (* b b)) 1/6))))
89.0ms	(* (* (* (* eps eps) eps) b) (* b b))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
1	801
0	230

prune816.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16`

Counts

1 → 20

Calls

1 calls:

20.0ms

(+ (/ 1 a) (/ 1 b))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(+ (/ 1 a) (/ 1 b))

simplify2.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	2335
2	448
1	105
0	41

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ (+ a b) (* a b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `associate-/l/`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

24.0ms

(/ (+ a b) (* a b))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (+ a b) (* a b))

simplify2.4s

Counts

29 → 29

Iterations

Iter	Nodes
done	5000
3	2228
2	515
1	146
0	56

prune129.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample18.6s

Algorithm

intervals

Results

6.1s	3495×	body	1280	valid
5.9s	2428×	body	2560	valid
4.1s	1972×	body	10240	exit
1.1s	1108×	body	640	valid
622.0ms	9977×	pre	80	true
209.0ms	384×	body	320	valid
136.0ms	456×	body	80	valid
48.0ms	134×	body	160	valid