Details

Time bar (total: 4.6s)

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)))

rewrite13.0ms

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:
10.0ms
(/ (- x y) (- 2.0 (+ x y)))

series49.0ms

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

simplify110.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune83.0ms

Filtered
61 candidates to 38 candidates (62.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462

Merged error: 0.0b

Counts
62 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
64×times-frac
59×add-sqr-sqrt
41×distribute-lft-out--
27×add-cube-cbrt
14×distribute-lft-out difference-of-squares
12×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 116
Calls
3 calls:
7.0ms
(/ x (- 2.0 (+ x y)))
8.0ms
(/ y (- 2.0 (+ x y)))
40.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series155.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ x (- 2.0 (+ x y)))
43.0ms
(/ y (- 2.0 (+ x y)))
65.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0377899
11162864
25001858

prune172.0ms

Filtered
125 candidates to 84 candidates (67.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh022
Picked011
Done011
Total1245129

Merged error: 0b

Counts
129 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (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))))

rewrite107.0ms

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:
48.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
10.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
165.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
169.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
165.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify92.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05025127
115915026
250024604

prune537.0ms

Filtered
348 candidates to 176 candidates (50.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3480348
Fresh022
Picked011
Done022
Total3485353

Merged error: 0b

Counts
353 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ y (- 2.0 (+ x y))) 3)
0.1b
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
0.1b
(pow (/ x (- 2.0 (+ x y))) 3)
7.6b
(/ (- (pow (/ x (- 2.0 (+ x y))) 3) (pow (/ y (- 2.0 (+ x y))) 3)) (+ (* (/ y (- 2.0 (+ x y))) (+ (/ y (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))) (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
1400×*-un-lft-identity
979×times-frac
700×add-sqr-sqrt
476×distribute-lft-out--
400×unpow-prod-down cube-prod
240×add-cube-cbrt
200×difference-of-squares
132×distribute-lft-out
105×associate-/l*
103×associate-/r/
50×sqr-pow
48×distribute-rgt-out--
42×swap-sqr
41×flip3-- flip-- div-inv
27×frac-add
24×add-exp-log associate-*r* associate-*l* add-cbrt-cube
17×frac-times associate-*r/
13×pow1
11×associate-*l/
7×cbrt-undiv flip3-+ div-exp flip-+
6×cube-div pow-unpow
4×difference-cubes pow-exp prod-exp cbrt-unprod associate-/l/ add-log-exp rem-cube-cbrt unswap-sqr
3×associate-/r*
2×cube-mult pow-to-exp pow-pow unpow3
1×pow2 frac-2neg pow-plus div-sub pow-prod-down clear-num pow-sqr *-commutative pow-prod-up frac-sub sub-div
Counts
4 → 717
Calls
4 calls:
14.0ms
(pow (/ y (- 2.0 (+ x y))) 3)
26.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
10.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
185.0ms
(/ (- (pow (/ x (- 2.0 (+ x y))) 3) (pow (/ y (- 2.0 (+ x y))) 3)) (+ (* (/ y (- 2.0 (+ x y))) (+ (/ y (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))) (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(pow (/ y (- 2.0 (+ x y))) 3)
60.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
68.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
320.0ms
(/ (- (pow (/ x (- 2.0 (+ x y))) 3) (pow (/ y (- 2.0 (+ x y))) 3)) (+ (* (/ y (- 2.0 (+ x y))) (+ (/ y (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))) (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))))

simplify268.0ms

Algorithm
egg-herbie
Counts
729 → 729
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0207125456
1500125070

prune962.0ms

Filtered
729 candidates to 261 candidates (35.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New7290729
Fresh011
Picked011
Done033
Total7295734

Merged error: 0b

Counts
734 → 5

regimes71.0ms

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
097
197

end0.0ms

sample319.0ms

Algorithm
intervals
Results
198.0ms7997×body80valid
0.0ms3×body1280valid

Profiling

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