Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms298×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254

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 2 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))
0.0b
(/ (* x y) 2.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
9.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
4.0ms
(/ (* x y) 2.0)

series63.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
22.0ms
(/ (* x y) 2.0)

simplify75.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune67.0ms

Filtered
43 candidates to 31 candidates (72.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
0.2b
(/ 2.0 (* x y))
0.9b
(/ 1 (/ 2.0 (* x y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×add-sqr-sqrt
30×*-un-lft-identity
29×add-exp-log
21×add-cube-cbrt
17×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv div-inv
6×associate-/l* difference-of-squares
5×add-log-exp
4×pow1 prod-exp
3×rec-exp 1-exp distribute-lft-out--
2×frac-2neg clear-num cbrt-unprod
1×sub-neg flip3-- pow-flip diff-log associate-/r/ frac-sub flip-- inv-pow
Counts
3 → 99
Calls
3 calls:
21.0ms
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
4.0ms
(/ 2.0 (* x y))
9.0ms
(/ 1 (/ 2.0 (* x y)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
21.0ms
(/ 2.0 (* x y))
20.0ms
(/ 1 (/ 2.0 (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0384637
11642528
25001513

prune122.0ms

Filtered
108 candidates to 60 candidates (55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done011
Total1084112

Merged error: 0b

Counts
112 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
0.3b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.5b
(/ x (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod div-inv
3×frac-sub
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 166
Calls
4 calls:
10.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
19.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ x (sqrt 2.0))
4.0ms
(/ y (sqrt 2.0))

series402.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
128.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
55.0ms
(/ x (sqrt 2.0))
51.0ms
(/ y (sqrt 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05311196
123571112
250021044

prune286.0ms

Filtered
178 candidates to 113 candidates (63.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done022
Total1784182

Merged error: 0b

Counts
182 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
0.0b
(/ (* x y) 2.0)
0.3b
(pow (/ (* x y) 2.0) 3)
30.2b
(cbrt (pow (/ (* x y) 2.0) 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
28×cbrt-prod
20×times-frac
18×*-un-lft-identity
16×add-cube-cbrt unpow-prod-down cube-prod
15×add-exp-log add-cbrt-cube
10×difference-of-squares
6×add-log-exp
5×pow1 div-inv
4×cbrt-undiv div-exp sqr-pow
3×cube-div pow-unpow pow-exp associate-/r* rem-cube-cbrt
2×cube-mult cbrt-div unpow3 prod-exp cbrt-unprod
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub flip-- rem-cbrt-cube associate-/l* distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
18.0ms
(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
4.0ms
(/ (* x y) 2.0)
5.0ms
(pow (/ (* x y) 2.0) 3)
3.0ms
(cbrt (pow (/ (* x y) 2.0) 3))

series140.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
19.0ms
(/ (* x y) 2.0)
57.0ms
(pow (/ (* x y) 2.0) 3)
20.0ms
(cbrt (pow (/ (* x y) 2.0) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0385666
11798612
25001604

prune167.0ms

Filtered
123 candidates to 68 candidates (55.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done033
Total1234127

Merged error: 0b

Counts
127 → 4

regimes128.0ms

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
0104
1104

end0.0ms

sample464.0ms

Algorithm
intervals
Results
272.0ms9135×body80valid