Details

Time bar (total: 18.0s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1484
21064
31744
41984
52034
62034

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.7b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ (- x y) (* (* x 2.0) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
7.0ms
(/ (- x y) (* (* x 2.0) y))

series12.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (- x y) (* (* x 2.0) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0237209
1976172
25002171

prune80.0ms

Filtered
33 candidates to 22 candidates (33.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
6.5b
(/ (/ (- x y) (* x 2.0)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
4×associate-/r*
3×div-sub associate-/l/
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×flip3-- flip--
Counts
2 → 85
Calls
2 calls:
9.0ms
(/ (- x y) (* x 2.0))
8.0ms
(/ (/ (- x y) (* x 2.0)) y)

series22.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (* x 2.0))
13.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0379606
11484546
25001545

prune243.0ms

Filtered
91 candidates to 66 candidates (27.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh202
Picked011
Done000
Total91394

Merged error: 0b

Counts
94 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (/ (- x y) 2.0))
6.5b
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
2918×times-frac
1433×add-sqr-sqrt *-un-lft-identity
1157×add-cube-cbrt
138×distribute-lft-out-- difference-of-squares
125×div-inv
81×associate-/r*
46×add-exp-log
33×div-exp
28×add-cbrt-cube
18×cbrt-undiv
16×associate-/r/ associate-/l*
3×rec-exp 1-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 1005
Calls
2 calls:
8.0ms
(/ y (/ (- x y) 2.0))
33.0ms
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ y (/ (- x y) 2.0))
7.0ms
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

simplify210.0ms

Algorithm
egg-herbie
Counts
1011 → 1011
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0446015102
1500114673

prune15.4s

Filtered
1011 candidates to 543 candidates (46.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New101101011
Fresh011
Picked011
Done011
Total101131014

Merged error: 0b

Counts
1014 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
0.3b
(/ (sqrt (/ (- x y) (* x 2.0))) y)
2.9b
(sqrt (/ (- x y) (* x 2.0)))
2.9b
(sqrt (/ (- x y) (* x 2.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
96×add-sqr-sqrt
95×sqrt-prod
78×*-un-lft-identity
58×add-cube-cbrt
40×associate-*r*
12×associate-*l* div-inv associate-/l*
11×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×unswap-sqr
5×sqrt-div
4×add-log-exp
3×associate-/r*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 178
Calls
4 calls:
25.0ms
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
8.0ms
(/ (sqrt (/ (- x y) (* x 2.0))) y)
5.0ms
(sqrt (/ (- x y) (* x 2.0)))
5.0ms
(sqrt (/ (- x y) (* x 2.0)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
15.0ms
(/ (sqrt (/ (- x y) (* x 2.0))) y)
17.0ms
(sqrt (/ (- x y) (* x 2.0)))
17.0ms
(sqrt (/ (- x y) (* x 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05321843
120901681
250011633

prune936.0ms

Filtered
190 candidates to 141 candidates (25.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1900190
Fresh000
Picked011
Done022
Total1903193

Merged error: 0b

Counts
193 → 3

regimes98.0ms

Accuracy

96.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 8.0b

bsearch75.0ms

Steps
ItersRangePoint
7
8.184221022877953e-47
4.6683953301953264e-45
4.6049340979787195e-45
9
-1.9952384834306187e+70
-3.7526312414890903e+64
-1.3704740820341672e+65

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample413.0ms

Algorithm
intervals
Results
200.0ms8002×body80valid

Profiling

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