Details

Time bar (total: 6.6s)

sample57.0ms

Algorithm
intervals
Results
39.0ms112×body10240exit
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
178
done78

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-cbrt-cube associate-/l*
add-exp-log associate-/r/
pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 4 (412.0ms)

IterNodesCost
069505
1144482
2329477
3736452
41791451
done5000451

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.7b
(- a (log (+ (exp a) (exp b))))
2.0b
(log (+ (exp a) (exp b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
25×add-sqr-sqrt
24×prod-diff
21×add-cube-cbrt
16×exp-sum
12×pow1
log-pow
log-prod
log-div exp-prod add-log-exp
add-exp-log associate--r+ distribute-lft-out-- associate--r-
expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u
sub-neg diff-log rem-exp-log distribute-lft-out difference-of-squares
flip3-- exp-diff rem-log-exp flip--
Counts
3 → 89
Calls
3 calls:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(exp (- a (log (+ (exp a) (exp b)))))
36.0ms
(- a (log (+ (exp a) (exp b))))
35.0ms
(log (+ (exp a) (exp b)))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: 3 (377.0ms)

IterNodesCost
01392006
12741476
25981301
316391026
done50001026

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow E (- a (log (+ (exp a) (exp b)))))
0.7b
(- a (log (+ (exp a) (exp b))))
2.0b
(log (+ (exp a) (exp b)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
26×add-sqr-sqrt
24×prod-diff
22×add-cube-cbrt
16×unpow-prod-up
13×pow1
log-pow
log-prod
log-div pow-unpow
add-exp-log
associate--r+ distribute-lft-out-- associate--r- add-log-exp
expm1-log1p-u unpow-prod-down flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u
sub-neg pow-exp distribute-lft-out difference-of-squares
pow-to-exp e-exp-1 flip3-- pow-pow diff-log rem-log-exp flip-- pow-sub sqr-pow
Counts
3 → 95
Calls
3 calls:
8.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
32.0ms
(- a (log (+ (exp a) (exp b))))
34.0ms
(log (+ (exp a) (exp b)))

simplify1.2s

Counts
104 → 104
Iterations

Useful iterations: 3 (602.0ms)

IterNodesCost
01562180
13641636
28251466
322651262
done50011262

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11210
21410
done1410

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3515×body10240exit
185.0ms8000×body80valid