Details

sample54.0ms

Algorithm

intervals

Results

39.0ms	111×	body	10240	exit
6.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

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-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
35.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.5s

Counts

51 → 51

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	372	548
3	959	546
4	2607	546
done	5001	546

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- a (log (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
2.9b	(log (+ (exp a) (exp b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(+ (exp a) (exp b))
4.0ms	(log (+ (exp a) (exp b)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- a (log (+ (exp a) (exp b))))
19.0ms	(+ (exp a) (exp b))
34.0ms	(log (+ (exp a) (exp b)))

simplify2.0s

Counts

57 → 57

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	82	620
1	176	579
2	332	539
3	776	535
4	2308	535
done	5000	535

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (exp a) (exp b))
0.7b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.7b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
2.6b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
55×	`times-frac`
41×	`add-sqr-sqrt`
36×	`associate-l`
35×	`distribute-lft-out`
34×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
9×	`add-exp-log` `associate-/r*`
8×	`pow1`
7×	`sum-cubes`
6×	`associate-r` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `exp-prod` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*l/` `clear-num` `pow-prod-up` `flip--`

Counts

4 → 143

Calls

4 calls:

8.0ms	(* (exp a) (exp b))
30.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
167.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
7.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (exp a) (exp b))
60.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
148.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
40.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify1.0s

Counts

155 → 155

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	209	3711
1	644	3146
2	2823	2897
done	5001	2897

prune426.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`exp-prod`
4×	`add-cube-cbrt`
3×	`associate-+l+` `log-prod` `rem-exp-log`
2×	`pow1` `add-exp-log` `associate-+r+` `diff-log` `exp-sum` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `exp-diff` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 34

Calls

2 calls:

4.0ms	(+ (log 2) (* 1/2 (+ a b)))
29.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

series84.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (log 2) (* 1/2 (+ a b)))
48.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

simplify1.1s

Counts

40 → 40

Iterations

Useful iterations: 3 (250.0ms)

Iter	Nodes	Cost
0	73	481
1	178	468
2	508	404
3	2183	386
done	5000	386

prune90.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s	3481×	body	10240	exit
173.0ms	8000×	body	80	valid