Details

sample96.0ms

Algorithm

intervals

Results

68.0ms	118×	body	10240	exit
10.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite68.0ms

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:

33.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (exp a) (exp b))
57.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify6.7s

Counts

51 → 51

Iterations

Useful iterations: done (6.7s)

Iter	Nodes	Cost
0	78	616
1	388	587
done	5000	548

prune173.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
2.1b	(- a (log (+ (exp a) (exp b))))
4.5b	(log (+ (exp a) (exp b)))

rewrite84.0ms

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-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 68

Calls

4 calls:

37.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
14.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (- a (log (+ (exp a) (exp b)))))
33.0ms	(+ (exp a) (exp b))
69.0ms	(- a (log (+ (exp a) (exp b))))
76.0ms	(log (+ (exp a) (exp b)))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	107	890
1	380	805
done	5001	752

prune295.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.3b	(log (/ (exp a) (+ (exp a) (exp b))))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`exp-sum`
11×	`distribute-lft-out`
7×	`add-exp-log`
6×	`pow1` `associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`exp-prod` `flip3-+` `associate-/r*` `flip-+`
3×	`div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `exp-diff` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 105

Calls

4 calls:

24.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
21.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
48.0ms	(/ (exp a) (+ (exp a) (exp b)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
23.0ms	(+ (exp a) (exp b))
63.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
48.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify10.2s

Counts

117 → 117

Iterations

Useful iterations: done (10.2s)

Iter	Nodes	Cost
0	154	1735
1	679	1510
done	5000	1377

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.4s	3455×	body	10240	exit
961.0ms	8000×	body	80	valid