Details

sample52.0ms

Algorithm

intervals

Results

37.0ms	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: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (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))
36.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.4s

Counts

51 → 51

Iterations

Useful iterations: 3 (143.0ms)

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

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.1b	(- a (log (+ (exp a) (exp b))))
3.6b	(log (+ (exp a) (exp b)))

rewrite28.0ms

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:

4.0ms	(+ (exp a) (exp b))
10.0ms	(exp (- a (log (+ (exp a) (exp b)))))
6.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify5.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (184.0ms)

Iter	Nodes	Cost
0	107	890
1	229	819
2	459	746
3	1136	742
4	3719	742
done	5000	742

prune188.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (- a (log (+ (exp a) (exp b)))) 3)
1.1b	(- a (log (+ (exp a) (exp b))))
3.6b	(log (+ (exp a) (exp b)))
15.1b	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`distribute-lft-out--`
8×	`log-prod`
6×	`add-exp-log` `log-pow`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`cube-div` `log-div` `associate--r+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `associate--r-` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

5.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
6.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))
6.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

series177.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
32.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))
48.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

simplify557.0ms

Counts

108 → 108

Iterations

Useful iterations: done (553.0ms)

Iter	Nodes	Cost
0	145	1742
1	333	1454
2	973	1343
done	5000	1322

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

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)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

6.0ms	(- (* 1/2 (- a b)) (log 2))
17.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* 1/2 (- a b)) (log 2))
47.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify787.0ms

Counts

44 → 44

Iterations

Useful iterations: 3 (194.0ms)

Iter	Nodes	Cost
0	72	507
1	158	465
2	398	409
3	1418	380
done	5000	380

prune86.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s	3510×	body	10240	exit
190.0ms	8000×	body	80	valid