Details

Time bar (total: 2.9s)

sample50.0ms

Algorithm
intervals
Results
33.0ms108×body10240exit
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.7b
(/ (exp a) (+ (exp a) (exp b)))

rewrite32.0ms

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-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
12.0ms
(+ (exp a) (exp b))
19.0ms
(/ (exp a) (+ (exp a) (exp b)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (exp a) (exp b))
30.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
0.7b
(- a (log (+ (exp a) (exp b))))
4.9b
(log (+ (exp a) (exp b)))

rewrite48.0ms

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-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow distribute-lft-out
2×sub-neg diff-log rem-exp-log difference-of-squares
1×+-commutative flip3-- exp-diff rem-log-exp sum-log flip--
Counts
4 → 68
Calls
4 calls:
17.0ms
(exp (- a (log (+ (exp a) (exp b)))))
9.0ms
(+ (exp a) (exp b))
12.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(exp (- a (log (+ (exp a) (exp b)))))
17.0ms
(+ (exp a) (exp b))
30.0ms
(- a (log (+ (exp a) (exp b))))
33.0ms
(log (+ (exp a) (exp b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (81.0ms)

IterNodesCost
0233551
1543509
21225495
34110491
45001489

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
0.1b
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
4×diff-log
3×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity rem-exp-log
2×pow1 add-exp-log sub-neg exp-sum sum-log add-cbrt-cube
1×flip3-- exp-diff flip-- associate--r+
Counts
2 → 30
Calls
2 calls:
14.0ms
(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
45.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series77.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
45.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify57.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0141268
1476239
22108226
35001222

prune77.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.1b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 1.1b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3508×body10240exit
195.0ms8000×body80valid