Details

Time bar (total: 2.5s)

analyze275.0ms

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

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms5×body80invalid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0507312

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: 12.7b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
15.4b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
8.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (+ t1 u) (+ t1 u))
17.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04978774
14978774

prune91.0ms

Filtered
43 candidates to 76 candidates (-76.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh011
Picked011
Done000
Total70878

Merged error: 0.3b

Counts
78 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.5b
(/ (* t1 (neg (/ v (+ t1 u)))) (+ t1 u))
8.4b
(* t1 (neg (/ v (+ t1 u))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
40×times-frac associate-*r*
34×add-sqr-sqrt
32×add-cube-cbrt
18×distribute-lft-neg-in distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube distribute-lft-out
8×associate-/r* associate-/r/
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×cbrt-undiv div-exp associate-*l* add-log-exp
2×frac-2neg associate-*r/ prod-exp clear-num distribute-rgt-neg-out cbrt-unprod distribute-neg-frac
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
11.0ms
(/ (* t1 (neg (/ v (+ t1 u)))) (+ t1 u))
12.0ms
(* t1 (neg (/ v (+ t1 u))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ v (+ t1 u))
17.0ms
(/ (* t1 (neg (/ v (+ t1 u)))) (+ t1 u))
10.0ms
(* t1 (neg (/ v (+ t1 u))))

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050031138

prune133.0ms

Filtered
91 candidates to 126 candidates (-38.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1206126
Fresh336
Picked011
Done011
Total12311134

Merged error: 0b

Counts
134 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (neg t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.4b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
6.0ms
(/ (neg t1) (+ t1 u))
7.0ms
(/ v (+ t1 u))
24.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (neg t1) (+ t1 u))
6.0ms
(/ v (+ t1 u))
22.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049742183
149742183

prune160.0ms

Filtered
134 candidates to 201 candidates (-50.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh178
Picked101
Done022
Total20210212

Merged error: 0b

Counts
212 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.0b
(/ v (+ t1 u))
0.6b
(/ -1 (/ (+ t1 u) t1))
1.4b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-exp-log add-cbrt-cube
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 249
Calls
4 calls:
5.0ms
(/ (+ t1 u) t1)
5.0ms
(/ v (+ t1 u))
7.0ms
(/ -1 (/ (+ t1 u) t1))
30.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ t1 u) t1)
6.0ms
(/ v (+ t1 u))
6.0ms
(/ -1 (/ (+ t1 u) t1))
22.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify72.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050233126

prune225.0ms

Filtered
188 candidates to 261 candidates (-38.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2601261
Fresh167
Picked011
Done022
Total26110271

Merged error: 0b

Counts
271 → 10

regimes277.0ms

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
02012
12012

end0.0ms

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

sample457.0ms

Algorithm
intervals
Results
273.0ms8000×body80valid
12.0ms272×body80invalid

Profiling

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