Details

Time bar (total: 2.6s)

analyze257.0ms

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
0.0ms7×body80invalid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0490111
1490111

prune11.0ms

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: 3.2b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.1b
(* (+ t1 u) (- -1 (/ u t1)))
4.0b
(/ 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))))

series23.0ms

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 (29.0ms)

IterNodesCost
05052995

prune132.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh011
Picked101
Done000
Total77986

Merged error: 0.3b

Counts
86 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
0.2b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
2.3b
(/ v (- -1 (/ u t1)))

rewrite49.0ms

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))
23.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
4.0ms
(/ 1 (+ t1 u))
23.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))

simplify48.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051381922

prune203.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1733176
Fresh268
Picked101
Done000
Total1769185

Merged error: 0.3b

Counts
185 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.2b
(* (/ 1 (+ t1 u)) (* v (/ -1 (+ (/ u t1) 1))))
0.4b
(/ -1 (+ (/ u t1) 1))
2.3b
(* v (/ -1 (+ (/ u t1) 1)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×add-exp-log
49×times-frac
44×add-sqr-sqrt
39×add-cube-cbrt
34×add-cbrt-cube
22×prod-exp
21×associate-*l*
19×associate-*r*
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times pow-flip associate-*l/ inv-pow
Counts
4 → 157
Calls
4 calls:
5.0ms
(/ 1 (+ t1 u))
17.0ms
(* (/ 1 (+ t1 u)) (* v (/ -1 (+ (/ u t1) 1))))
8.0ms
(/ -1 (+ (/ u t1) 1))
15.0ms
(* v (/ -1 (+ (/ u t1) 1)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (+ t1 u))
19.0ms
(* (/ 1 (+ t1 u)) (* v (/ -1 (+ (/ u t1) 1))))
5.0ms
(/ -1 (+ (/ u t1) 1))
7.0ms
(* v (/ -1 (+ (/ u t1) 1)))

simplify63.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049851658
149851658

prune185.0ms

Filtered
105 candidates to 169 candidates (-61.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1690169
Fresh088
Picked011
Done000
Total1699178

Merged error: 0.3b

Counts
178 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ v (- -1 (/ u t1)))
10.4b
(cbrt (/ v (- -1 (/ u t1))))
10.4b
(cbrt (/ v (- -1 (/ u t1))))
10.4b
(cbrt (/ v (- -1 (/ u t1))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
85×times-frac
72×cbrt-prod
71×*-un-lft-identity
45×add-cube-cbrt
26×difference-of-squares
13×distribute-lft-out--
8×associate-/r/
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 140
Calls
4 calls:
8.0ms
(/ v (- -1 (/ u t1)))
8.0ms
(cbrt (/ v (- -1 (/ u t1))))
8.0ms
(cbrt (/ v (- -1 (/ u t1))))
8.0ms
(cbrt (/ v (- -1 (/ u t1))))

series132.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ v (- -1 (/ u t1)))
42.0ms
(cbrt (/ v (- -1 (/ u t1))))
40.0ms
(cbrt (/ v (- -1 (/ u t1))))
44.0ms
(cbrt (/ v (- -1 (/ u t1))))

simplify56.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
054592213

prune328.0ms

Filtered
123 candidates to 152 candidates (-23.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh077
Picked011
Done011
Total1529161

Merged error: 0.3b

Counts
161 → 9

regimes274.0ms

Accuracy

0% (1.2b 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
01715
11715

end0.0ms

sample434.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid
8.0ms266×body80invalid

Profiling

Loading profile data...