Details

Time bar (total: 2.2s)

analyze248.0ms

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

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms7×body80invalid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
0490111
1490111

prune9.0ms

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: 1.7b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ t1 u) (- -1 (/ u t1)))
2.2b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite25.0ms

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)))
11.0ms
(/ 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))))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04984853
14984853

prune93.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh011
Picked101
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.3b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
2.0b
(/ v (- -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/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ 1 (+ t1 u))
21.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
10.0ms
(/ v (- -1 (/ u t1)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ t1 u))
19.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))

simplify59.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
058471780

prune169.0ms

Filtered
106 candidates to 159 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1572159
Fresh145
Picked011
Done000
Total1587165

Merged error: 0b

Counts
165 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ v (* (cbrt (- -1 (/ u t1))) (cbrt (- -1 (/ u t1)))))
6.4b
(cbrt (- -1 (/ u t1)))
6.4b
(cbrt (- -1 (/ u t1)))
6.4b
(cbrt (- -1 (/ u t1)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×cbrt-prod cbrt-div
15×*-un-lft-identity
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×add-cbrt-cube
6×times-frac difference-of-squares
4×pow1 frac-times add-log-exp
3×pow1/3 associate-/l* distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
16.0ms
(/ v (* (cbrt (- -1 (/ u t1))) (cbrt (- -1 (/ u t1)))))
6.0ms
(cbrt (- -1 (/ u t1)))
6.0ms
(cbrt (- -1 (/ u t1)))
6.0ms
(cbrt (- -1 (/ u t1)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ v (* (cbrt (- -1 (/ u t1))) (cbrt (- -1 (/ u t1)))))
41.0ms
(cbrt (- -1 (/ u t1)))
39.0ms
(cbrt (- -1 (/ u t1)))
43.0ms
(cbrt (- -1 (/ u t1)))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051891024

prune185.0ms

Filtered
72 candidates to 89 candidates (-23.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh055
Picked011
Done011
Total89796

Merged error: 0b

Counts
96 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ v (+ t1 u))
0.6b
(/ (/ 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))
15.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ v (+ t1 u))
17.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

simplify52.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051483588

prune163.0ms

Filtered
125 candidates to 188 candidates (-50.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1880188
Fresh044
Picked011
Done022
Total1887195

Merged error: 0b

Counts
195 → 7

regimes171.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample438.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid
10.0ms240×body80invalid

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