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

sample204.0ms

Algorithm
intervals
Results
90.0ms82×body2560valid
66.0ms115×body1280valid
9.0ms21×body1280overflowed
8.0ms25×body640valid
6.0ms309×pre80true
3.0msbody2560overflowed
3.0ms11×body640overflowed
2.0msbody320valid
2.0msbody320overflowed
1.0ms21×body80valid
1.0msbody160valid
0.0msbody80overflowed
0.0msbody160overflowed

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0485524
1485524

prune14.0ms

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: 58.7b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.8b
(- (exp (* a eps)) 1.0)
3.4b
(- (exp (* b eps)) 1.0)
4.6b
(- (exp (* (+ a b) eps)) 1.0)

rewrite29.0ms

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:
15.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
4.0ms
(- (exp (* a eps)) 1.0)
4.0ms
(- (exp (* b eps)) 1.0)
5.0ms
(- (exp (* (+ a b) eps)) 1.0)

series91.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
7.0ms
(- (exp (* a eps)) 1.0)
7.0ms
(- (exp (* b eps)) 1.0)
14.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify27.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
054581421

prune127.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh101
Picked011
Done000
Total82284

Merged error: 0.2b

Counts
84 → 2

localize5.0ms

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))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ (/ 1 b) (/ 1 a))

simplify66.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04881196
14881196

prune27.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New20222
Fresh000
Picked011
Done011
Total20424

Merged error: 0.2b

Counts
24 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

13.6b
(/ (+ 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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (+ b a) (* b a))

simplify34.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05240241

prune24.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh011
Picked011
Done022
Total28432

Merged error: 0.2b

Counts
32 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ (/ 1 b) (/ 1 a)))
0.0b
(+ (/ 1 b) (/ 1 a))
2.4b
(exp (log (+ (/ 1 b) (/ 1 a))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
21×distribute-lft-out
20×log-prod
18×times-frac
12×add-sqr-sqrt add-cube-cbrt div-inv
10×exp-sum
log-div
pow1 add-log-exp
add-exp-log exp-prod
flip3-+ exp-diff frac-add add-cbrt-cube flip-+
log-pow
+-commutative rem-log-exp sum-log rem-exp-log
Counts
3 → 66
Calls
3 calls:
13.0ms
(log (+ (/ 1 b) (/ 1 a)))
12.0ms
(+ (/ 1 b) (/ 1 a))
14.0ms
(exp (log (+ (/ 1 b) (/ 1 a))))

series13.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(log (+ (/ 1 b) (/ 1 a)))
2.0ms
(+ (/ 1 b) (/ 1 a))
3.0ms
(exp (log (+ (/ 1 b) (/ 1 a))))

simplify54.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04906725
14906725

prune78.0ms

Filtered
43 candidates to 75 candidates (-74.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh000
Picked101
Done033
Total75479

Merged error: 0.2b

Counts
79 → 4

regimes209.0ms

Accuracy

87.9% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05186
15186

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.8s2640×body2560valid
1.8s3309×body1280valid
358.0ms1098×body640valid
277.0ms650×body1280overflowed
194.0ms9670×pre80true
103.0ms156×body2560overflowed
96.0ms355×body640overflowed
78.0ms350×body320valid
38.0ms190×body320overflowed
33.0ms473×body80valid
19.0ms130×body160valid
16.0ms229×body80overflowed
12.0ms89×body160overflowed
1.0msbody2560invalid

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