Details

sample121.0ms

Algorithm

intervals

Results

88.0ms	115×	body	10240	exit
12.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

16.0ms	(+ (exp a) (exp b))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp a) (exp b))
63.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (624.0ms)

Iter	Nodes	Cost
0	78	616
1	176	587
2	595	550
3	3568	546
done	5000	546

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize20.0ms

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))))
3.8b	(log (+ (exp a) (exp b)))

rewrite78.0ms

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)))))
10.0ms	(+ (exp a) (exp b))
14.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(exp (- a (log (+ (exp a) (exp b)))))
34.0ms	(+ (exp a) (exp b))
57.0ms	(- a (log (+ (exp a) (exp b))))
44.0ms	(log (+ (exp a) (exp b)))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (457.0ms)

Iter	Nodes	Cost
0	107	890
1	240	819
2	627	746
3	2494	742
done	5001	742

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp a) (exp b)))
0.0b	(sqrt (+ (exp a) (exp b)))
0.3b	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))
1.0b	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
30×	`add-sqr-sqrt`
28×	`sqrt-div`
21×	`pow1`
16×	`add-cube-cbrt`
14×	`flip3-+` `flip-+`
11×	`swap-sqr` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
9×	`add-exp-log`
8×	`frac-times` `associate-/r/` `distribute-lft-out`
7×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`associate-r/` `associate-l/` `add-log-exp` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `div-inv`

Counts

4 → 123

Calls

4 calls:

25.0ms	(sqrt (+ (exp a) (exp b)))
16.0ms	(sqrt (+ (exp a) (exp b)))
86.0ms	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))
53.0ms	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ (exp a) (exp b)))
68.0ms	(sqrt (+ (exp a) (exp b)))
37.0ms	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))
68.0ms	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))

simplify2.1s

Counts

135 → 135

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	134	2248
1	304	1486
2	1245	1367
done	5001	1348

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize18.0ms

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)))

rewrite99.0ms

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:

15.0ms	(- (* 1/2 (- a b)) (log 2))
83.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* 1/2 (- a b)) (log 2))
70.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.6s

Counts

44 → 44

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	72	507
1	166	465
2	509	409
3	2347	384
done	5001	380

prune106.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes117.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b 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

sample3.9s

Algorithm

intervals

Results

3.1s	3577×	body	10240	exit
395.0ms	8000×	body	80	valid