Details

sample113.0ms

Algorithm

intervals

Results

85.0ms	133×	body	10240	exit
14.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

15.0ms	(+ (exp a) (exp b))
53.0ms	(/ (exp a) (+ (exp a) (exp b)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
58.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify995.0ms

Counts

53 → 53

Iterations

Iter	Nodes
4	2364
3	989
2	466
1	178
0	80

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.4b	(log (+ (exp a) (exp b)))

rewrite46.0ms

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-+` `insert-posit16` `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 → 72

Calls

4 calls:

14.0ms	(+ (exp a) (exp b))
15.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (exp a) (exp b))
64.0ms	(exp (- a (log (+ (exp a) (exp b)))))
40.0ms	(- a (log (+ (exp a) (exp b))))
48.0ms	(log (+ (exp a) (exp b)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
4	3718
3	1283
2	515
1	244
0	111

prune816.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b))))
1.0b	(/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b))))
1.2b	(* (/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
3.8b	(- (exp a) (exp b))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`times-frac`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-l`
14×	`pow3`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-log-exp`
7×	`sum-cubes`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-+r+` `associate-/r*` `associate-/r/` `insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

14.0ms	(+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b))))
165.0ms	(/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b))))
325.0ms	(* (/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
16.0ms	(- (exp a) (exp b))

series360.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b))))
64.0ms	(/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b))))
169.0ms	(* (/ (exp a) (+ (* (* (exp a) (exp a)) (exp a)) (* (* (exp b) (exp b)) (exp b)))) (+ (* (exp b) (exp b)) (* (exp a) (- (exp a) (exp b)))))
41.0ms	(- (exp a) (exp b))

simplify1.0s

Counts

121 → 121

Iterations

Iter	Nodes
2	2838
1	689
0	197

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.7b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.5s	3440×	body	10240	exit
671.0ms	8000×	body	80	valid