Details

Time bar (total: 2.0s)

analyze262.0ms

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

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms19×body80invalid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (93.0ms)

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: 2.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ t1 u) (- -1 (/ u t1)))
4.2b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt flip3-- flip3-+ associate-*r* flip-- flip-+
4×pow1 times-frac associate-*r/ associate-*l* associate-*l/
3×associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod add-log-exp difference-of-squares
1×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)))
13.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (+ t1 u) (- -1 (/ u t1)))
15.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04984853
14984853

prune91.0ms

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: 0.3b

Counts
69 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ v (+ t1 u))
1.6b
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
223×times-frac
181×add-sqr-sqrt
174×*-un-lft-identity
86×add-cube-cbrt
38×difference-of-squares
25×distribute-lft-out
21×associate-/l*
19×distribute-lft-out--
18×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
8×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 182
Calls
2 calls:
5.0ms
(/ v (+ t1 u))
14.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ v (+ t1 u))
14.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

simplify53.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051483588

prune174.0ms

Filtered
124 candidates to 188 candidates (-51.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1862188
Fresh224
Picked011
Done101
Total1895194

Merged error: 0.3b

Counts
194 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.4b
(/ 1 (- -1 (/ u t1)))
1.4b
(* (/ v (+ t1 u)) (/ 1 (- -1 (/ u t1))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
74×times-frac
71×*-un-lft-identity
41×add-cube-cbrt
31×add-exp-log
24×associate-*r*
19×add-cbrt-cube
18×associate-*l*
14×difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
7×distribute-lft-out distribute-lft-out--
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num flip-- flip-+
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
10.0ms
(/ 1 (- -1 (/ u t1)))
21.0ms
(* (/ v (+ t1 u)) (/ 1 (- -1 (/ u t1))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
5.0ms
(/ 1 (- -1 (/ u t1)))
15.0ms
(* (/ v (+ t1 u)) (/ 1 (- -1 (/ u t1))))

simplify45.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051081778

prune144.0ms

Filtered
100 candidates to 160 candidates (-60.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh033
Picked011
Done011
Total1605165

Merged error: 0.3b

Counts
165 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
1.0b
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
1.5b
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

rewrite35.0ms

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
8×pow1 prod-exp
7×distribute-lft-out associate-/l*
6×cbrt-undiv associate-*r*
5×associate-/r/
4×frac-times flip3-- associate-*r/ associate-/r* flip-- cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp
2×sub-neg pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ difference-of-squares unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-+ *-commutative flip-+ distribute-lft-out-- inv-pow
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ (+ t1 u) v)
12.0ms
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
14.0ms
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (+ t1 u) v)
21.0ms
(/ 1 (* (/ (+ t1 u) v) (- -1 (/ u t1))))
10.0ms
(* (/ (+ t1 u) v) (- -1 (/ u t1)))

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053771342

prune93.0ms

Filtered
79 candidates to 123 candidates (-55.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0.3b

Counts
128 → 5

regimes191.0ms

Accuracy

0% (1.3b remaining)

Error of 1.6b against oracle of 0.3b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample441.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid
8.0ms248×body80invalid

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