Details

sample138.0ms

Algorithm

intervals

Results

101.0ms	111×	body	10240	exit
20.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

8.0ms	(+ (exp a) (exp b))
51.0ms	(/ (exp a) (+ (exp a) (exp b)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp a) (exp b))
43.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	2004
4	2004
3	1052
2	471
1	178
0	80

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
3.5b	(log (+ (exp a) (exp b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

17.0ms	(exp (- a (log (+ (exp a) (exp b)))))
8.0ms	(+ (exp a) (exp b))
15.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(exp (- a (log (+ (exp a) (exp b)))))
28.0ms	(+ (exp a) (exp b))
45.0ms	(- a (log (+ (exp a) (exp b))))
59.0ms	(log (+ (exp a) (exp b)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	2001
4	2001
3	1395
2	568
1	244
0	111

prune432.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (- a b) 1/2) (log 2))
0.0b	(exp (- (* (- a b) 1/2) (log 2)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`pow1` `sub-neg` `add-cbrt-cube` `diff-log` `exp-sum` `add-exp-log` `insert-posit16` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 32

Calls

2 calls:

16.0ms	(- (* (- a b) 1/2) (log 2))
40.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (* (- a b) 1/2) (log 2))
76.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify1.5s

Counts

38 → 38

Iterations

Iter	Nodes
done	2006
4	2006
3	1749
2	448
1	158
0	67

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 b))
1.0b	(* (/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
1.2b	(/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b))))
3.6b	(- (exp a) (exp b))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-l`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-log-exp`
7×	`distribute-lft-out`
6×	`pow1`
4×	`associate-/r*` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-r` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `exp-to-pow` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

4 → 104

Calls

4 calls:

4.0ms	(exp (* 3 b))
127.0ms	(* (/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
36.0ms	(/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b))))
19.0ms	(- (exp a) (exp b))

series330.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* 3 b))
211.0ms	(* (/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
66.0ms	(/ (exp a) (+ (exp (* 3 a)) (exp (* 3 b))))
41.0ms	(- (exp a) (exp b))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	2001
2	2001
1	629
0	193

prune826.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

regimes151.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.5s	3430×	body	10240	exit
700.0ms	8000×	body	80	valid