Details

sample47.0ms

Algorithm

intervals

Results

30.0ms	88×	body	10240	exit
6.0ms	256×	body	80	valid

simplify2.0ms

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: 0.8b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

10.0ms	(+ (exp a) (exp b))
19.0ms	(/ (exp a) (+ (exp a) (exp b)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp a) (exp b))
40.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts

51 → 51

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	382	548
3	730	546
4	1872	546
done	5000	546

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.6b	(- a (log (+ (exp a) (exp b))))
2.9b	(log (+ (exp a) (exp b)))

rewrite53.0ms

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:

18.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(+ (exp a) (exp b))
16.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
40.0ms	(- a (log (+ (exp a) (exp b))))
38.0ms	(log (+ (exp a) (exp b)))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: 3 (201.0ms)

Iter	Nodes	Cost
0	107	890
1	234	819
2	480	746
3	934	742
4	2098	742
done	5000	742

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(+ (exp a) (exp b))
35.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
36.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
19.0ms	(/ (exp a) (+ (exp a) (exp b)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp a) (exp b))
51.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
36.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: 4 (564.0ms)

Iter	Nodes	Cost
0	133	1368
1	237	1244
2	506	1159
3	934	1153
4	2182	1152
done	5001	1152

prune293.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (exp a))
0.0b	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.3b	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
18×	`pow-unpow`
9×	`add-exp-log`
7×	`log-prod` `distribute-lft-out`
6×	`pow1` `unpow-prod-down` `exp-prod` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow-pow` `associate-/r*` `associate-/r/`
3×	`rem-log-exp` `associate-/l*`
2×	`pow-to-exp` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `log-pow` `rem-exp-log` `inv-pow`

Counts

4 → 101

Calls

4 calls:

4.0ms	(exp (exp a))
5.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
18.0ms	(/ 1 (+ (exp a) (exp b)))
15.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(exp (exp a))
73.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
32.0ms	(/ 1 (+ (exp a) (exp b)))
71.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	148	1417
1	326	1229
2	720	1092
3	1739	1072
done	5000	1063

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes109.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3336×	body	10240	exit
179.0ms	8000×	body	80	valid