Details

Time bar (total: 2.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms265×body80valid

simplify83.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.1b
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite49.0ms

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:
8.0ms
(* (+ t1 u) (+ t1 u))
37.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ t1 u) (+ t1 u))
83.0ms
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0381490
12039406
25001402

prune117.0ms

Filtered
76 candidates to 41 candidates (53.9%)
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))
1.2b
(* (/ (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))
6.0ms
(/ (neg t1) (+ t1 u))
25.0ms
(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ v (+ t1 u))
40.0ms
(/ (neg t1) (+ t1 u))
121.0ms
(* (/ (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

prune309.0ms

Filtered
201 candidates to 134 candidates (66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh235
Picked011
Done000
Total1998207

Merged error: 0b

Counts
207 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))
0.2b
(* (neg t1) (/ 1 (+ t1 u)))
1.2b
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite43.0ms

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:
5.0ms
(/ 1 (+ t1 u))
5.0ms
(/ v (+ t1 u))
12.0ms
(* (neg t1) (/ 1 (+ t1 u)))
15.0ms
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ t1 u))
26.0ms
(/ v (+ t1 u))
40.0ms
(* (neg t1) (/ 1 (+ t1 u)))
120.0ms
(* (* (neg t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify71.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05561026
13072854
25002820

prune230.0ms

Filtered
182 candidates to 105 candidates (57.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1811182
Fresh246
Picked011
Done101
Total1846190

Merged error: 0b

Counts
190 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (neg t1) (+ t1 u))
0.4b
(/ (* v (/ (neg t1) (+ t1 u))) (+ t1 u))
2.2b
(* v (/ (neg t1) (+ t1 u)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*r*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-exp-log add-cbrt-cube
11×associate-/l*
neg-mul-1
associate-/r*
cbrt-undiv div-exp associate-/r/
pow1
distribute-frac-neg prod-exp cbrt-unprod
flip3-+ associate-*l* flip-+ div-inv add-log-exp
frac-2neg associate-*r/ clear-num distribute-rgt-neg-out unswap-sqr
neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 165
Calls
3 calls:
6.0ms
(/ (neg t1) (+ t1 u))
12.0ms
(/ (* v (/ (neg t1) (+ t1 u))) (+ t1 u))
15.0ms
(* v (/ (neg t1) (+ t1 u)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (neg t1) (+ t1 u))
53.0ms
(/ (* v (/ (neg t1) (+ t1 u))) (+ t1 u))
34.0ms
(* v (/ (neg t1) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04771028
12395939
25002939

prune230.0ms

Filtered
174 candidates to 112 candidates (64.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh044
Picked011
Done011
Total1746180

Merged error: 0b

Counts
180 → 6

regimes67.0ms

Accuracy

0% (1.2b 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
2236
3236

end0.0ms

sample414.0ms

Algorithm
intervals
Results
245.0ms8251×body80valid

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