Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify8.0ms

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: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
10.0ms
(/ (* x y) 2.0)
21.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series60.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* x y) 2.0)
42.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
0.4b
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
0.4b
(/ (* x y) (sqrt 2.0))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
69×add-sqr-sqrt
62×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
17×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l*
9×div-inv
7×cbrt-undiv div-exp
6×difference-of-squares
5×add-log-exp
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip-- associate-/l/
Counts
3 → 141
Calls
3 calls:
91.0ms
(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
17.0ms
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
12.0ms
(/ (* x y) (sqrt 2.0))

series353.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
116.0ms
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
71.0ms
(/ (* x y) (sqrt 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04931319
120481137
250021126

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (sqrt (sqrt 2.0)))
0.2b
(/ y (sqrt (sqrt 2.0)))
0.3b
(* (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)))
0.5b
(/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
887×times-frac
706×sqrt-prod
596×add-sqr-sqrt
441×add-cube-cbrt *-un-lft-identity
190×associate-*r*
37×associate-/l*
36×unswap-sqr
34×add-exp-log add-cbrt-cube
31×associate-*l*
24×associate-/r*
18×div-inv
14×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 621
Calls
4 calls:
8.0ms
(/ x (sqrt (sqrt 2.0)))
8.0ms
(/ y (sqrt (sqrt 2.0)))
158.0ms
(* (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)))
22.0ms
(/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0))

series522.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ x (sqrt (sqrt 2.0)))
107.0ms
(/ y (sqrt (sqrt 2.0)))
135.0ms
(* (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)))
175.0ms
(/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
633 → 633
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016587605
150017031

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample462.0ms

Algorithm
intervals
Results
212.0ms9114×body80valid