Details

Time bar (total: 8.9s)

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%49.9%50.1%0
0%49.9%50.1%1
0%49.9%50.1%2
0%49.9%50.1%3
0%49.9%50.1%4
0%49.9%50.1%5
0%49.9%50.1%6
0%49.9%50.1%7
0%49.9%50.1%8
0.4%49.5%50.1%9
0.4%49.3%50.3%10
0.6%48.9%50.5%11
1.1%48.1%50.9%12
1.5%47.3%51.2%13
1.7%46.9%51.5%14

sample223.0ms

Algorithm
intervals
Results
102.0ms90×body2560valid
65.0ms108×body1280valid
14.0ms34×body1280overflowed
9.0ms27×body640valid
7.0ms327×pre80true
5.0ms19×body640overflowed
3.0ms11×body320valid
1.0msbody320overflowed
1.0msbody2560overflowed
1.0ms19×body80valid
0.0msbody80overflowed
0.0msbody160overflowed
0.0msbody160valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0485524
1485524

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.1b

Counts
2 → 2

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(pow (exp (+ a b)) eps)
1.0b
(pow (exp a) eps)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
pow-pow
add-sqr-sqrt add-cube-cbrt
unpow-prod-down exp-prod
pow-unpow
pow1
add-exp-log pow-to-exp pow-exp add-cbrt-cube add-log-exp sqr-pow
exp-sum distribute-lft-out
Counts
2 → 42
Calls
2 calls:
5.0ms
(pow (exp (+ a b)) eps)
3.0ms
(pow (exp a) eps)

series22.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(pow (exp (+ a b)) eps)
10.0ms
(pow (exp a) eps)

simplify45.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05041320

prune56.0ms

Filtered
29 candidates to 48 candidates (-65.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh011
Picked011
Done000
Total47350

Merged error: 59.0b

Counts
50 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.9b
(- (exp (* b eps)) 1.0)
4.1b
(- (exp (* a eps)) 1.0)
7.2b
(- (exp (* (+ a b) eps)) 1.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
10×add-sqr-sqrt flip3-- *-un-lft-identity flip-- add-log-exp
associate-/r/
pow1 cbrt-undiv frac-times add-cube-cbrt associate-*r/ div-exp prod-exp cbrt-unprod
sub-neg diff-log distribute-lft-out-- difference-of-squares
associate-*l/ associate-/l/
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
14.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
4.0ms
(- (exp (* b eps)) 1.0)
4.0ms
(- (exp (* a eps)) 1.0)
4.0ms
(- (exp (* (+ a b) eps)) 1.0)

series91.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
7.0ms
(- (exp (* b eps)) 1.0)
7.0ms
(- (exp (* a eps)) 1.0)
15.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify26.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
054581421

prune119.0ms

Filtered
67 candidates to 82 candidates (-22.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh101
Picked011
Done101
Total83285

Merged error: 0.1b

Counts
85 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 1 b) (/ 1 a))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
distribute-lft-out
times-frac
div-inv
add-sqr-sqrt add-cube-cbrt add-log-exp
pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 19
Calls
1 calls:
12.0ms
(+ (/ 1 b) (/ 1 a))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(+ (/ 1 b) (/ 1 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04881196
14881196

prune25.0ms

Filtered
14 candidates to 22 candidates (-57.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New21122
Fresh000
Picked011
Done011
Total21324

Merged error: 0.1b

Counts
24 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

13.1b
(/ (+ b a) (* b a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/l*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/l/ distribute-lft-out
pow1 frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (+ b a) (* b a))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (+ b a) (* b a))

simplify33.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05240241

prune20.0ms

Filtered
18 candidates to 28 candidates (-55.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done022
Total28331

Merged error: 0.1b

Counts
31 → 3

regimes175.0ms

Accuracy

92.7% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05186
15186

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.7s2571×body2560valid
1.9s3421×body1280valid
363.0ms1088×body640valid
277.0ms664×body1280overflowed
199.0ms9674×pre80true
100.0ms355×body640overflowed
91.0ms136×body2560overflowed
79.0ms352×body320valid
34.0ms172×body320overflowed
33.0ms432×body80valid
20.0ms136×body160valid
16.0ms237×body80overflowed
14.0ms107×body160overflowed
3.0msbody2560invalid

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