Details

Time bar (total: 2.2s)

analyze260.0ms

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
0.0ms7×body80invalid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

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 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.1b
(* (+ t1 u) (- -1 (/ u t1)))
3.4b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
7×add-cube-cbrt flip3-- flip--
6×flip3-+ associate-*r* flip-+
5×pow1 times-frac add-log-exp
4×associate-*r/ associate-*l* associate-*l/ difference-of-squares
3×sub-neg associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out--
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 75
Calls
3 calls:
6.0ms
(- -1 (/ u t1))
14.0ms
(* (+ t1 u) (- -1 (/ u t1)))
12.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

series24.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- -1 (/ u t1))
5.0ms
(* (+ t1 u) (- -1 (/ u t1)))
15.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

simplify36.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05052995

prune113.0ms

Filtered
62 candidates to 84 candidates (-35.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh011
Picked101
Done000
Total80686

Merged error: 0.2b

Counts
86 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
0.6b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
2.3b
(/ v (- -1 (/ u t1)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
75×times-frac
74×*-un-lft-identity
42×add-cube-cbrt
32×add-exp-log
24×associate-*r*
20×add-cbrt-cube
18×associate-*l*
16×difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp flip3-- 1-exp flip--
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
6.0ms
(- -1 (/ u t1))
5.0ms
(/ 1 (+ t1 u))
24.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
4.0ms
(/ 1 (+ t1 u))
21.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))

simplify45.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051381922

prune190.0ms

Filtered
118 candidates to 176 candidates (-49.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1733176
Fresh325
Picked101
Done000
Total1775182

Merged error: 0.2b

Counts
182 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.4b
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
2.3b
(/ v (- -1 (/ u t1)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
189×add-sqr-sqrt
179×*-un-lft-identity
89×add-cube-cbrt
40×difference-of-squares
27×associate-/l*
25×distribute-lft-out
20×distribute-lft-out--
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
7×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log flip-+ associate-/l/
Counts
3 → 196
Calls
3 calls:
6.0ms
(- -1 (/ u t1))
15.0ms
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
8.0ms
(/ v (- -1 (/ u t1)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- -1 (/ u t1))
16.0ms
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
10.0ms
(/ v (- -1 (/ u t1)))

simplify56.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051943664

prune211.0ms

Filtered
140 candidates to 205 candidates (-46.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2050205
Fresh044
Picked011
Done000
Total2055210

Merged error: 0.2b

Counts
210 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ (+ t1 u) v)
0.3b
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))
0.8b
(* (- -1 (/ u t1)) (/ (+ t1 u) v))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
39×add-sqr-sqrt
32×add-exp-log
30×times-frac
24×add-cube-cbrt
20×add-cbrt-cube
16×associate-*r*
11×div-exp
9×pow1
8×prod-exp
7×distribute-lft-out associate-/l*
6×cbrt-undiv associate-*l* add-log-exp
5×flip3-- associate-/r/ flip--
4×frac-times associate-*l/ associate-/r* cbrt-unprod difference-of-squares
3×rec-exp 1-exp div-inv
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num associate-/l/ distribute-lft-out-- unswap-sqr
1×sub-neg flip3-+ diff-log *-commutative flip-+ inv-pow
Counts
4 → 126
Calls
4 calls:
6.0ms
(- -1 (/ u t1))
5.0ms
(/ (+ t1 u) v)
13.0ms
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))
15.0ms
(* (- -1 (/ u t1)) (/ (+ t1 u) v))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
6.0ms
(/ (+ t1 u) v)
23.0ms
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))
9.0ms
(* (- -1 (/ u t1)) (/ (+ t1 u) v))

simplify45.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
055451460

prune117.0ms

Filtered
94 candidates to 138 candidates (-46.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done011
Total1385143

Merged error: 0.2b

Counts
143 → 5

regimes203.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.2b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample434.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
9.0ms219×body80invalid

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