Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms294×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
12.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
3.0ms
(/ (* x y) 2.0)

series81.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
23.0ms
(/ (* x y) 2.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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)))
0.4b
(/ y (sqrt 2.0))
0.4b
(/ x (sqrt 2.0))

rewrite61.0ms

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:
21.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
23.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
3.0ms
(/ y (sqrt 2.0))
3.0ms
(/ x (sqrt 2.0))

series407.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
130.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
55.0ms
(/ y (sqrt 2.0))
57.0ms
(/ x (sqrt 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05311196
123571112
250011044

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
0.5b
(/ 2.0 (* x y))
0.7b
(/ 1 (/ 2.0 (* x y)))

rewrite50.0ms

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:
35.0ms
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
3.0ms
(/ 2.0 (* x y))
6.0ms
(/ 1 (/ 2.0 (* x y)))

series88.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (/ 1 (/ 2.0 (* x y))) (/ z 8.0))
22.0ms
(/ 2.0 (* x y))
19.0ms
(/ 1 (/ 2.0 (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0384637
11642528
25001513

prune160.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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

sample409.0ms

Algorithm
intervals
Results
223.0ms9221×body80valid