Details

Time bar (total: 1.6s)

analyze81.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%18.7%12.6%7
68.7%12.5%18.8%8
68.7%12.5%18.8%9
68.7%9.4%22%10
68.7%9.4%22%11
68.7%7.8%23.5%12
68.7%7.8%23.5%13
68.7%7%24.3%14

sample51.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
178

prune3.0ms

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 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite11.0ms

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:
4.0ms
(+ (exp a) (exp b))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (exp a) (exp b))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify58.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04961546
14961546

prune50.0ms

Filtered
36 candidates to 51 candidates (-41.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0.5b

Counts
52 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
2.6b
(- a (log (+ (exp a) (exp b))))
5.9b
(log (+ (exp a) (exp b)))

rewrite22.0ms

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 flip-+ associate--r+ distribute-lft-out-- associate--r-
3×exp-sum 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 → 66
Calls
4 calls:
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (exp a) (exp b))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
5.0ms
(+ (exp a) (exp b))
10.0ms
(- a (log (+ (exp a) (exp b))))
11.0ms
(log (+ (exp a) (exp b)))

simplify60.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04898734
14898734

prune82.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done000
Total78381

Merged error: 0.5b

Counts
81 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
0.3b
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube
7×add-exp-log
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
4×associate-/r*
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
8.0ms
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
11.0ms
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
19.0ms
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
11.0ms
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify37.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053082178

prune125.0ms

Filtered
80 candidates to 165 candidates (-106.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1641165
Fresh011
Picked011
Done011
Total1644168

Merged error: 0.4b

Counts
168 → 4

localize4.0ms

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 (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.4b

Counts
4 → 4

regimes185.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample647.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid

Profiling

Loading profile data...