Details

Time bar (total: 9.0s)

analyze1.6s

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

sample207.0ms

Algorithm
intervals
Results
81.0ms76×body2560valid
65.0ms109×body1280valid
13.0ms31×body1280overflowed
11.0ms33×body640valid
7.0ms329×pre80true
6.0msbody2560overflowed
3.0ms12×body640overflowed
3.0ms13×body320valid
1.0msbody320overflowed
1.0ms19×body80valid
1.0msbody160valid
1.0ms10×body80overflowed
1.0msbody160overflowed

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

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: 58.9b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.3b
(- (exp (* b eps)) 1.0)
3.9b
(- (exp (* a eps)) 1.0)
5.7b
(- (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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (* 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)
14.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify26.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
054581421

prune136.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh101
Picked011
Done000
Total80484

Merged error: 0.0b

Counts
84 → 4

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))

simplify66.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04881196
14881196

prune38.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New20222
Fresh022
Picked011
Done011
Total20626

Merged error: 0.0b

Counts
26 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

15.6b
(/ (+ 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))

series6.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05240241

prune35.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh123
Picked101
Done022
Total29534

Merged error: 0.0b

Counts
34 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ b a) a)
5.8b
(* (/ 1 b) (/ (+ b a) a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
42×*-un-lft-identity
40×times-frac
26×add-exp-log add-cube-cbrt
16×associate-*r* add-cbrt-cube
13×associate-*l*
div-exp
prod-exp
distribute-lft-out
unswap-sqr
cbrt-undiv
pow1 cbrt-unprod associate-/l*
associate-/r* div-inv
rec-exp 1-exp associate-/l/ add-log-exp
frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 92
Calls
2 calls:
5.0ms
(/ (+ b a) a)
12.0ms
(* (/ 1 b) (/ (+ b a) a))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ b a) a)
6.0ms
(* (/ 1 b) (/ (+ b a) a))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
06204883

prune70.0ms

Filtered
64 candidates to 98 candidates (-53.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh022
Picked011
Done022
Total985103

Merged error: 0.0b

Counts
103 → 5

regimes215.0ms

Accuracy

85.8% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 3.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05186
15186

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.7s2560×body2560valid
1.9s3425×body1280valid
350.0ms1059×body640valid
309.0ms725×body1280overflowed
197.0ms9784×pre80true
110.0ms165×body2560overflowed
100.0ms364×body640overflowed
79.0ms333×body320valid
34.0ms177×body320overflowed
34.0ms491×body80valid
21.0ms132×body160valid
17.0ms248×body80overflowed
13.0ms101×body160overflowed
2.0msbody2560invalid
1.0msbody1280invalid

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