Details

Time bar (total: 3.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune1.0ms

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune80.0ms

Filtered
61 candidates to 38 candidates (62.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh000
Picked011
Done000
Total59362

Merged error: 0.0b

Counts
62 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 336
Calls
4 calls:
42.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
12.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
161.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
167.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
164.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify98.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05025127
115915026
250014604

prune544.0ms

Filtered
348 candidates to 176 candidates (50.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3471348
Fresh011
Picked011
Done011
Total3474351

Merged error: 0b

Counts
351 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
0.2b
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
0.2b
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
39×cbrt-prod
38×add-sqr-sqrt
30×times-frac
22×cbrt-div
16×add-cube-cbrt distribute-lft-out--
11×difference-of-squares
5×distribute-lft-out
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×frac-times associate-*r/ associate-*l/
2×associate-/r/
1×flip3-- flip-- div-inv
Counts
4 → 81
Calls
4 calls:
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
22.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
21.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
25.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
131.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
129.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))
133.0ms
(cbrt (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
03521214
17941123
230121067
350021060

prune220.0ms

Filtered
93 candidates to 66 candidates (71.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497

Merged error: 0b

Counts
97 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(exp (/ (- x y) (- 2.0 (+ x y))))
1.2b
(log (exp (/ (- x y) (- 2.0 (+ x y)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
159×*-un-lft-identity
111×add-sqr-sqrt
90×times-frac
72×exp-prod
51×distribute-lft-out--
41×add-cube-cbrt
37×log-pow
35×difference-of-squares
16×distribute-lft-out
6×associate-/r* associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 flip3-- flip-- add-log-exp
3×log-prod div-sub div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div frac-2neg div-exp rem-log-exp clear-num rem-exp-log
Counts
3 → 152
Calls
3 calls:
10.0ms
(/ (- x y) (- 2.0 (+ x y)))
11.0ms
(exp (/ (- x y) (- 2.0 (+ x y))))
17.0ms
(log (exp (/ (- x y) (- 2.0 (+ x y)))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- x y) (- 2.0 (+ x y)))
69.0ms
(exp (/ (- x y) (- 2.0 (+ x y))))
46.0ms
(log (exp (/ (- x y) (- 2.0 (+ x y)))))

simplify137.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03781088
110461034
247511024
350011024

prune255.0ms

Filtered
161 candidates to 100 candidates (62.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done033
Total1614165

Merged error: 0b

Counts
165 → 4

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample327.0ms

Algorithm
intervals
Results
203.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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