Details

Time bar (total: 2.4s)

analyze242.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms6×body80invalid

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: 17.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.1b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

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))
12.0ms
(/ (* (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)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0381490
12039406
25001402

prune76.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh000
Picked101
Done000
Total71677

Merged error: 0.0b

Counts
77 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (neg t1) (+ t1 u))
1.5b
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite44.0ms

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:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
26.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ v (+ t1 u))
6.0ms
(/ (neg t1) (+ t1 u))
20.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05931281
126921197
250021197

prune163.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1965201
Fresh235
Picked101
Done000
Total1998207

Merged error: 0b

Counts
207 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt v)
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))

series113.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt v)
29.0ms
(cbrt (+ t1 u))
29.0ms
(cbrt (+ t1 u))
32.0ms
(cbrt (+ t1 u))

simplify39.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0192366
1405347
21169316
35002297

prune89.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh077
Picked011
Done000
Total65873

Merged error: 0b

Counts
73 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.0b
(/ v (+ t1 u))
0.6b
(/ -1 (/ (+ t1 u) t1))
1.5b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite57.0ms

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))
29.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (+ t1 u) t1)
6.0ms
(/ v (+ t1 u))
5.0ms
(/ -1 (/ (+ t1 u) t1))
20.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify107.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08411815
142521692
250021603

prune194.0ms

Filtered
172 candidates to 261 candidates (-51.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2601261
Fresh156
Picked101
Done011
Total2627269

Merged error: 0b

Counts
269 → 7

regimes221.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
12318
23418
33918
44318
54318

end0.0ms

analyze233.0ms

Algorithm
search

sample405.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
7.0ms241×body80invalid

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