Details

Time bar (total: 2.6s)

sample60.0ms

Algorithm
intervals
Results
44.0ms131×body10240exit
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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 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:
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify88.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0143319
1446298
21221297
34142296
45001296

prune90.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0.2b

Counts
39 → 3

localize13.0ms

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))))
2.3b
(log (+ (exp a) (exp b)))

rewrite21.0ms

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
9×log-pow
8×log-prod
6×log-div exp-prod add-log-exp
4×add-exp-log associate--r+ distribute-lft-out-- associate--r-
3×expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u
2×sub-neg diff-log rem-exp-log distribute-lft-out difference-of-squares
1×flip3-- exp-diff rem-log-exp flip--
Counts
3 → 89
Calls
3 calls:
6.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(exp (- a (log (+ (exp a) (exp b)))))
36.0ms
(- a (log (+ (exp a) (exp b))))
33.0ms
(log (+ (exp a) (exp b)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
02811244
1687868
22599712
35002580

prune181.0ms

Filtered
98 candidates to 52 candidates (53.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh101
Picked101
Done011
Total992101

Merged error: 0b

Counts
101 → 2

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (fma 1/2 (- a b) (- 0 (log 2))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×exp-prod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log expm1-log1p-u exp-sum add-cbrt-cube fma-udef log1p-expm1-u rem-exp-log
Counts
1 → 14
Calls
1 calls:
3.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(exp (fma 1/2 (- a b) (- 0 (log 2))))

simplify53.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 4 (51.0ms)

IterNodesCost
069118
1157103
258293
3212088
4500187

prune37.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done011
Total17219

Merged error: 0b

Counts
19 → 2

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
175

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s3422×body10240exit
194.0ms8000×body80valid