Details

Time bar (total: 4.4s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 79.858679%

Results
9.0ms256×body80valid
0.0msbody80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
20.8b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
pow1
add-sqr-sqrt frac-times associate-/r/
add-cube-cbrt swap-sqr distribute-lft-out
prod-exp cbrt-unprod
cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
add-log-exp
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:
7.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (+ t1 u) (+ t1 u))
19.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune74.0ms

Filtered
41 candidates to 76 candidates (-85.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72476
Fresh000
Picked101
Done000
Total73477

Merged error: 0.0b

Counts
77 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (neg t1) (+ t1 u))
0.9b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite45.0ms

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*
neg-mul-1
associate-/r* associate-/r/
cbrt-undiv div-exp
pow1
flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
add-log-exp
frac-2neg distribute-frac-neg clear-num
distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
9.0ms
(/ (neg t1) (+ t1 u))
24.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
20.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05931281
126921197
250021197

prune150.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1983201
Fresh123
Picked011
Done000
Total1996205

Merged error: 0b

Counts
205 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.2b
(* (neg t1) (/ 1 (+ t1 u)))
0.9b
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
54×add-exp-log
50×times-frac
48×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
cbrt-undiv associate-/r* associate-/r/
associate-/l*
rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in un-div-inv unswap-sqr
frac-times frac-2neg associate-*l/ clear-num *-commutative
neg-mul-1 pow-flip inv-pow
Counts
4 → 170
Calls
4 calls:
7.0ms
(/ v (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
11.0ms
(* (neg t1) (/ 1 (+ t1 u)))
14.0ms
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ v (+ t1 u))
4.0ms
(/ 1 (+ t1 u))
5.0ms
(* (neg t1) (/ 1 (+ t1 u)))
21.0ms
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify72.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05561026
13072854
25002820

prune125.0ms

Filtered
105 candidates to 182 candidates (-73.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh044
Picked011
Done011
Total1826188

Merged error: 0b

Counts
188 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.9b
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
9.7b
(* (neg t1) (/ v (+ t1 u)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
cbrt-undiv associate-/r* associate-/r/
associate-/l*
rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
frac-2neg clear-num *-commutative unswap-sqr
frac-times neg-mul-1 pow-flip associate-*l/ un-div-inv inv-pow
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ v (+ t1 u))
5.0ms
(/ 1 (+ t1 u))
14.0ms
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
10.0ms
(* (neg t1) (/ v (+ t1 u)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ v (+ t1 u))
4.0ms
(/ 1 (+ t1 u))
15.0ms
(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
10.0ms
(* (neg t1) (/ v (+ t1 u)))

simplify74.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05461033
13346882
25001847

prune108.0ms

Filtered
101 candidates to 179 candidates (-77.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh033
Picked011
Done022
Total1796185

Merged error: 0b

Counts
185 → 6

regimes160.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 79.858679%

Results
279.0ms8000×body80valid
10.0ms214×body80invalid

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