Details

Time bar (total: 4.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

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

localize6.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
11.0ms
(/ (- x y) (- 2.0 (+ x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune107.0ms

Filtered
63 candidates to 40 candidates (63.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
7.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))
53.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series164.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (- 2.0 (+ x y)))
51.0ms
(/ x (- 2.0 (+ x y)))
66.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify273.0ms

Algorithm
egg-herbie
Counts
731 → 731
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0130423967
1366517833
2500117718

prune852.0ms

Filtered
731 candidates to 258 candidates (35.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7301731
Fresh134
Picked101
Done011
Total7325737

Merged error: 0b

Counts
737 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.4b
(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
42×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
16×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l*
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg div-sub log1p-expm1 div-exp clear-num div-inv expm1-udef
Counts
3 → 82
Calls
3 calls:
11.0ms
(/ (- x y) (- 2.0 (+ x y)))
1.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
1.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

series261.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- x y) (- 2.0 (+ x y)))
103.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
106.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify148.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0338687
11017638
24745631
35001631

prune177.0ms

Filtered
91 candidates to 62 candidates (68.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done011
Total91596

Merged error: 0b

Counts
96 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.1b
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
5.0b
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
1576×*-un-lft-identity
1040×times-frac
903×add-sqr-sqrt
576×prod-diff
521×add-cube-cbrt
427×distribute-lft-out--
181×distribute-lft-out difference-of-squares
120×associate-/r/
63×flip3-- flip--
60×div-inv
52×cbrt-prod
46×unpow-prod-down cube-prod
24×fma-neg
15×distribute-rgt-out--
8×cube-div
7×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×pow1
4×expm1-log1p-u cbrt-div log1p-expm1-u
3×pow-unpow frac-sub associate-/l* sub-div
2×cube-mult unpow3 sqr-pow
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
Counts
4 → 815
Calls
4 calls:
7.0ms
(/ x (- 2.0 (+ x y)))
53.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
40.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
43.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

series286.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (- 2.0 (+ x y)))
66.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
104.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
66.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

simplify243.0ms

Algorithm
egg-herbie
Counts
827 → 827
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0159125434
1500119112

prune1.3s

Filtered
827 candidates to 287 candidates (34.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New8270827
Fresh022
Picked011
Done022
Total8275832

Merged error: 0b

Counts
832 → 5

regimes63.0ms

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

sample310.0ms

Algorithm
intervals
Results
177.0ms7996×body80valid
0.0ms4×body1280valid