Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.8b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×distribute-lft-out
4×pow1 associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv difference-of-squares
1×+-commutative sub-neg flip3-- diff-log prod-exp sum-log flip-- cbrt-unprod distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
4.0ms
(+ 1.0 (/ (* x y) 2.0))
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* x y) 2.0)
35.0ms
(+ 1.0 (/ (* x y) 2.0))
32.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0378589
11545551
25001545

prune149.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh000
Picked101
Done000
Total91394

Merged error: 0b

Counts
94 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ 1 (/ 2.0 (* x y))))
0.4b
(/ 1 (/ 2.0 (* x y)))
0.6b
(/ 2.0 (* x y))
7.8b
(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
47×*-un-lft-identity
32×add-exp-log add-sqr-sqrt add-cube-cbrt
20×add-cbrt-cube
15×div-exp
13×associate-/r*
12×div-inv
10×distribute-lft-out
9×associate-/l*
8×cbrt-undiv
6×add-log-exp
5×pow1
4×prod-exp
3×rec-exp frac-2neg 1-exp clear-num associate-/r/
2×flip3-+ cbrt-unprod flip-+
1×+-commutative pow-flip sum-log inv-pow
Counts
4 → 127
Calls
4 calls:
8.0ms
(+ 1.0 (/ 1 (/ 2.0 (* x y))))
6.0ms
(/ 1 (/ 2.0 (* x y)))
4.0ms
(/ 2.0 (* x y))
10.0ms
(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 1.0 (/ 1 (/ 2.0 (* x y))))
24.0ms
(/ 1 (/ 2.0 (* x y)))
20.0ms
(/ 2.0 (* x y))
64.0ms
(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0474847
12231724
25001715

prune155.0ms

Filtered
139 candidates to 79 candidates (56.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh022
Picked011
Done000
Total1393142

Merged error: 0b

Counts
142 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.8b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
101×*-un-lft-identity
76×add-sqr-sqrt
62×add-cube-cbrt
19×associate-/r*
17×add-exp-log distribute-lft-out
11×add-cbrt-cube
8×div-exp add-log-exp
7×div-inv associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/ distribute-lft-out--
1×+-commutative sub-neg flip3-- pow-flip diff-log sum-log associate-/r/ flip-- inv-pow
Counts
4 → 152
Calls
4 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
17.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series181.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 1.0 (/ (* x y) 2.0))
33.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
62.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05481492
123841275
250021266

prune176.0ms

Filtered
164 candidates to 87 candidates (53.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh011
Picked011
Done011
Total1643167

Merged error: 0b

Counts
167 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
2.6b
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
3.2b
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
23.4b
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
67×times-frac
47×add-exp-log add-sqr-sqrt add-cbrt-cube
40×add-cube-cbrt associate-*l*
35×distribute-lft-out
28×unpow-prod-down cube-prod
17×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
13×pow1
10×associate-*r/ associate-*r*
9×associate-/r*
7×swap-sqr sum-cubes
6×div-inv add-log-exp
4×frac-times flip3-+ associate-*l/ associate-/r/ flip-+
3×frac-sub associate-/l* unswap-sqr
2×pow-prod-down *-commutative sub-div
1×pow2 distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-plus diff-log clear-num pow-sqr pow-prod-up flip--
Counts
4 → 185
Calls
4 calls:
9.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
31.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
10.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
29.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
60.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
76.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
159.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09512308
150012019

prune382.0ms

Filtered
197 candidates to 118 candidates (59.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done022
Total1973200

Merged error: 0b

Counts
200 → 3

regimes32.0ms

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
0156
1156

end0.0ms

sample387.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid

Profiling

Loading profile data...