Details

Time bar (total: 1.9s)

analyze251.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
28.1%71.8%0.1%7
42.1%57.7%0.1%8
43.7%56.2%0.1%9
64.4%35.5%0.1%10
71.6%28.3%0.1%11
72.2%27.7%0.1%12
81.6%18.2%0.2%13
84.9%14.9%0.2%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0msbody80invalid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0490111
1490111

prune10.0ms

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: 2.7b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ t1 u) (- -1 (/ u t1)))
4.6b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt flip3-- flip3-+ associate-*r* flip-- flip-+
pow1 times-frac associate-*r/ associate-*l* associate-*l/
associate-/l*
cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod add-log-exp difference-of-squares
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
2 → 61
Calls
2 calls:
11.0ms
(* (+ t1 u) (- -1 (/ u t1)))
12.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

series21.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (+ t1 u) (- -1 (/ u t1)))
16.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04984853
14984853

prune88.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh011
Picked011
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.9b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
1.9b
(/ v (- -1 (/ u t1)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×times-frac
53×*-un-lft-identity
31×add-cube-cbrt
26×add-exp-log
24×associate-*r*
18×associate-*l*
16×add-cbrt-cube
14×difference-of-squares
div-exp
prod-exp
distribute-lft-out--
associate-/r* associate-/r/ unswap-sqr
cbrt-undiv
pow1 cbrt-unprod
div-inv distribute-lft-out associate-/l*
rec-exp flip3-- 1-exp flip-- add-log-exp
frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 113
Calls
2 calls:
22.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051251500

prune131.0ms

Filtered
84 candidates to 119 candidates (-41.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh134
Picked011
Done011
Total1196125

Merged error: 0.0b

Counts
125 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- -1 (/ u t1)))
1.4b
(* (/ v (+ u t1)) (/ 1 (- -1 (/ u t1))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×times-frac
53×*-un-lft-identity
31×add-cube-cbrt
28×add-exp-log
24×associate-*r*
18×associate-*l*
16×add-cbrt-cube
14×difference-of-squares
10×div-exp
prod-exp
distribute-lft-out--
associate-/r* associate-/r/ unswap-sqr
pow1 cbrt-undiv
cbrt-unprod
rec-exp 1-exp div-inv distribute-lft-out associate-/l*
flip3-- flip-- add-log-exp
frac-times pow-flip frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative flip-+ inv-pow
Counts
2 → 118
Calls
2 calls:
8.0ms
(/ 1 (- -1 (/ u t1)))
23.0ms
(* (/ v (+ u t1)) (/ 1 (- -1 (/ u t1))))

series22.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- -1 (/ u t1)))
16.0ms
(* (/ v (+ u t1)) (/ 1 (- -1 (/ u t1))))

simplify41.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049731491
149731491

prune121.0ms

Filtered
76 candidates to 124 candidates (-63.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh033
Picked011
Done022
Total1246130

Merged error: 0.0b

Counts
130 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.9b
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
1.4b
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
33×add-sqr-sqrt
31×add-exp-log
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
16×associate-*l*
11×div-exp
pow1 prod-exp
distribute-lft-out associate-/l*
cbrt-undiv associate-*r*
associate-/r/
frac-times flip3-- associate-*r/ associate-/r* flip-- cbrt-unprod
rec-exp 1-exp div-inv add-log-exp
sub-neg pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ difference-of-squares unswap-sqr
distribute-rgt-in distribute-lft-in flip3-+ *-commutative flip-+ distribute-lft-out-- inv-pow
Counts
3 → 114
Calls
3 calls:
8.0ms
(/ (+ t1 u) v)
14.0ms
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
15.0ms
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (+ t1 u) v)
20.0ms
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
11.0ms
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
053771342

prune98.0ms

Filtered
82 candidates to 123 candidates (-50.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done033
Total1236129

Merged error: 0.0b

Counts
129 → 6

regimes209.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample413.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid
7.0ms238×body80invalid

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