Details

Time bar (total: 14.1s)

sample91.0ms

Algorithm
intervals
Results
62.0ms92×body10240exit
16.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
29.0ms
(/ (exp a) (+ (exp a) (exp b)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.2s

Counts
37 → 37
Iterations
IterNodes
done5001
42119
3987
2415
1152
068

prune159.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.2b
(- a (log (+ (exp a) (exp b))))
2.7b
(log (+ (exp a) (exp b)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt
8×log-prod
6×pow1 log-div exp-prod add-cube-cbrt add-log-exp
4×exp-sum add-exp-log associate--r+ distribute-lft-out-- associate--r-
3×flip3-+ add-cbrt-cube log-pow flip-+ insert-posit16
2×sub-neg diff-log distribute-lft-out difference-of-squares rem-exp-log
1×flip3-- exp-diff rem-log-exp flip--
Counts
3 → 59
Calls
3 calls:
27.0ms
(exp (- a (log (+ (exp a) (exp b)))))
16.0ms
(- a (log (+ (exp a) (exp b))))
6.0ms
(log (+ (exp a) (exp b)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(exp (- a (log (+ (exp a) (exp b)))))
54.0ms
(- a (log (+ (exp a) (exp b))))
61.0ms
(log (+ (exp a) (exp b)))

simplify2.6s

Counts
68 → 68
Iterations
IterNodes
done5001
43662
31150
2481
1215
0102

prune252.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(- a (log (+ (exp a) (exp b))))
0.4b
(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
2.7b
(log (+ (exp a) (exp b)))
2.7b
(log (+ (exp a) (exp b)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
80×sqrt-pow1
72×exp-prod
47×add-sqr-sqrt
40×pow1
38×sqrt-prod distribute-lft-out--
21×log-pow add-cube-cbrt
20×exp-sum
17×pow-prod-up
15×pow-prod-down pow-sqr
14×log-div swap-sqr
12×log-prod
10×associate-*r* associate-*l* associate--r-
8×pow1/2 add-exp-log
7×sub-neg flip3-+ flip-+ difference-of-squares
6×add-cbrt-cube
5×add-log-exp
4×exp-diff sqrt-div insert-posit16 associate--r+ unswap-sqr
3×distribute-lft-out
2×rem-log-exp
1×pow2 frac-times rem-square-sqrt pow-plus flip3-- sqrt-unprod diff-log associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip--
Counts
4 → 157
Calls
4 calls:
20.0ms
(- a (log (+ (exp a) (exp b))))
125.0ms
(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
12.0ms
(log (+ (exp a) (exp b)))
12.0ms
(log (+ (exp a) (exp b)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- a (log (+ (exp a) (exp b))))
68.0ms
(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
48.0ms
(log (+ (exp a) (exp b)))
61.0ms
(log (+ (exp a) (exp b)))

simplify2.3s

Counts
169 → 169
Iterations
IterNodes
done5002
32524
2887
1348
0177

prune768.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes178.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample4.7s

Algorithm
intervals
Results
3.8s3556×body10240exit
666.0ms8000×body80valid