Details

sample116.0ms

Algorithm

intervals

Results

85.0ms	132×	body	10240	exit
12.0ms	256×	body	80	valid

simplify5.0ms

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: 0.5b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

8.0ms	(+ (exp a) (exp b))
24.0ms	(/ (exp a) (+ (exp a) (exp b)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp a) (exp b))
68.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify4.5s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	82	18403
1	184	17355
2	501	17225
3	1021	17123
4	2397	17092
done	5000	17092

prune335.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.3b	(* (/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.5b	(/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b))))
3.8b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+r+` `associate-/r` `flip3-+` `associate-r` `flip-+` `associate-/l`
2×	`frac-times` `cbrt-undiv` `sum-log` `sub-neg` `diff-log` `div-exp` `prod-diff` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `fma-def` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `fma-neg` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

4 → 105

Calls

4 calls:

57.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
219.0ms	(* (/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
11.0ms	(/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b))))
14.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
234.0ms	(* (/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
83.0ms	(/ (exp a) (fma (* (exp a) (exp a)) (exp a) (exp (* 3 b))))
72.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify3.2s

Counts

117 → 117

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	183	63615
1	612	56536
2	2125	55525
done	5001	55407

prune834.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

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

regimes262.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.7b 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

sample3.1s

Algorithm

intervals

Results

2.4s	3508×	body	10240	exit
450.0ms	8000×	body	80	valid