Details

sample136.0ms

Algorithm

intervals

Results

100.0ms	100×	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: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

15.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	5051
4	2638
3	1052
2	471
1	178
0	80

prune184.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

33.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
15.0ms	(+ (exp a) (exp b))
29.0ms	(/ (exp a) (+ (exp a) (exp b)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
23.0ms	(+ (exp a) (exp b))
58.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
4	2659
3	1145
2	560
1	230
0	125

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
286×	`*-un-lft-identity`
189×	`sqrt-prod`
187×	`add-sqr-sqrt`
186×	`add-cube-cbrt`
50×	`distribute-lft-out`
34×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp` `insert-posit16`
3×	`exp-prod`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `pow1/2` `associate-/r/`

Counts

4 → 297

Calls

4 calls:

4.0ms	(sqrt (exp a))
51.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))
16.0ms	(+ (exp a) (exp b))
39.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp a))
90.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))
34.0ms	(+ (exp a) (exp b))
37.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))

simplify1.8s

Counts

309 → 309

Iterations

Iter	Nodes
done	5001
2	1936
1	783
0	305

prune941.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp b) (exp b))
0.5b	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))))
0.6b	(* (exp a) (exp b))
5.0b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`exp-prod`
15×	`pow1`
13×	`times-frac` `add-cbrt-cube`
9×	`associate-l`
8×	`add-exp-log`
6×	`pow-prod-down` `add-log-exp`
5×	`pow-prod-up`
4×	`prod-exp` `pow-sqr` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`flip3-+` `swap-sqr` `*-commutative` `flip-+` `distribute-lft-out`
2×	`frac-times` `associate-*l/` `associate-/r/`
1×	`pow2` `cbrt-undiv` `sub-neg` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 111

Calls

4 calls:

28.0ms	(* (exp b) (exp b))
231.0ms	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))))
13.0ms	(* (exp a) (exp b))
25.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (exp b) (exp b))
150.0ms	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))))
38.0ms	(* (exp a) (exp b))
54.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify2.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5007
2	2306
1	621
0	204

prune758.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s	3541×	body	10240	exit
680.0ms	8000×	body	80	valid