Details

sample542.0ms

Algorithm

intervals

Results

217.0ms	92×	body	2560	valid
133.0ms	93×	body	1280	valid
111.0ms	62×	body	10240	exit
35.0ms	44×	body	640	valid
15.0ms	318×	pre	80	true
5.0ms	10×	body	320	valid
2.0ms	15×	body	80	valid
0.0ms	2×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
5	5315
4	914
3	326
2	153
1	77
0	17

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.1b	(- (exp (* a eps)) 1)
4.0b	(- (exp (* b eps)) 1)
6.6b	(- (exp (* (+ a b) eps)) 1)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
10×	`flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

66.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
15.0ms	(- (exp (* a eps)) 1)
11.0ms	(- (exp (* b eps)) 1)
20.0ms	(- (exp (* (+ a b) eps)) 1)

series460.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
60.0ms	(- (exp (* a eps)) 1)
52.0ms	(- (exp (* b eps)) 1)
63.0ms	(- (exp (* (+ a b) eps)) 1)

simplify789.0ms

Counts

95 → 95

Iterations

Iter	Nodes
2	2644
1	805
0	182

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

10.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify1.4s

Counts

23 → 23

Iterations

Iter	Nodes
5	2702
4	1374
3	837
2	450
1	176
0	41

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

12.7b

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

rewrite32.0ms

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:

31.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify3.5s

Counts

29 → 29

Iterations

Iter	Nodes
4	5924
3	1952
2	653
1	249
0	56

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ a b) a)
5.5b	(/ (/ (+ a b) a) b)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 117

Calls

2 calls:

13.0ms	(/ (+ a b) a)
17.0ms	(/ (/ (+ a b) a) b)

series92.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ a b) a)
61.0ms	(/ (/ (+ a b) a) b)

simplify898.0ms

Counts

123 → 123

Iterations

Iter	Nodes
3	2878
2	1426
1	667
0	168

prune723.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (3.3b remaining)

Error of 3.4b against oracle of 0.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	6

end0.0ms

sample19.0s

Algorithm

intervals

Results

6.2s	2555×	body	2560	valid
6.1s	3475×	body	1280	valid
4.5s	1973×	body	10240	exit
892.0ms	1017×	body	640	valid
520.0ms	9977×	pre	80	true
277.0ms	370×	body	320	valid
108.0ms	463×	body	80	valid
43.0ms	124×	body	160	valid