Details

sample81.0ms

Algorithm

intervals

Results

59.0ms	90×	body	10240	exit
9.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	222
1	7	222
done	7	222

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite25.0ms

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` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 45

Calls

2 calls:

7.0ms	(+ (exp a) (exp b))
16.0ms	(/ (exp a) (+ (exp a) (exp b)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp a) (exp b))
66.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.2s

Counts

51 → 51

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	78	17275
1	176	16277
2	586	16197
3	3897	16079
done	5001	16079

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.4b	(- a (log (+ (exp a) (exp b))))
3.7b	(log (+ (exp a) (exp b)))

rewrite50.0ms

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-+` `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 → 68

Calls

4 calls:

15.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(+ (exp a) (exp b))
18.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(exp (- a (log (+ (exp a) (exp b)))))
21.0ms	(+ (exp a) (exp b))
42.0ms	(- a (log (+ (exp a) (exp b))))
53.0ms	(log (+ (exp a) (exp b)))

simplify1.9s

Counts

80 → 80

Iterations

Useful iterations: 3 (696.0ms)

Iter	Nodes	Cost
0	107	29358
1	240	25095
2	645	24392
3	2582	24197
done	5001	24237

prune419.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

11.0ms	(- (* 1/2 (- a b)) (log 2))
49.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* 1/2 (- a b)) (log 2))
71.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify3.1s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	75	12528
1	174	10496
2	547	9702
3	3401	9642
done	5000	9642

prune235.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize74.0ms

Local error

Found 4 expressions with local error:

1.4b	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))))
3.2b	(- (exp b) (exp a))
3.7b	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
6.9b	(log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

65.0ms	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))))
9.0ms	(- (exp b) (exp a))
53.0ms	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
38.0ms	(log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))))
41.0ms	(- (exp b) (exp a))
87.0ms	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
177.0ms	(log (+ (* (exp b) (- (exp b) (exp a))) (* (exp a) (exp a))))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	158	47799
1	383	43331
2	1473	42810
done	5001	42771

prune583.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes228.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	222
1	7	222
done	7	222

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s	3525×	body	10240	exit
534.0ms	8000×	body	80	valid