Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
13.0ms298×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2224
3224

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 2.0) (* y x))
0.0b
(+ (+ (/ x 2.0) (* y x)) z)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
10.0ms
(+ (/ x 2.0) (* y x))
39.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series73.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (/ x 2.0) (* y x))
30.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0163180
1542168
21917162
35001160

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
0.2b
(* (* y x) y)
1.2b
(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
29.7b
(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
6×associate-*r* add-log-exp
5×prod-exp cbrt-unprod
4×associate-*r/ associate-*l* pow-prod-down
3×flip3-- times-frac associate-/r* flip--
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
66.0ms
(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
6.0ms
(* (* y x) y)
78.0ms
(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
42.0ms
(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
18.0ms
(* (* y x) y)
99.0ms
(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
159.0ms
(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

simplify71.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0440872
12152767
25002754

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y x) y)
2.5b
(* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y))))
4.1b
(- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))
41.5b
(/ (* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))) (* (- (/ x 2.0) (* y x)) (+ (/ (/ x 2.0) 2.0) (* (* y x) y))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
11×pow1
9×add-sqr-sqrt
8×prod-exp associate-/r/ cbrt-unprod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×flip3-- associate-*r/ flip-- add-log-exp
4×cbrt-undiv frac-times div-exp associate-*l* pow-prod-down
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative associate-/l/ difference-of-squares
1×frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 87
Calls
4 calls:
6.0ms
(* (* y x) y)
60.0ms
(* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y))))
16.0ms
(- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))
57.0ms
(/ (* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))) (* (- (/ x 2.0) (* y x)) (+ (/ (/ x 2.0) 2.0) (* (* y x) y))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* y x) y)
184.0ms
(* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y))))
141.0ms
(- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))
293.0ms
(/ (* x (- (* (/ (/ x 2.0) 2.0) (/ (/ x 2.0) 2.0)) (* (* (* y x) y) (* (* y x) y)))) (* (- (/ x 2.0) (* y x)) (+ (/ (/ x 2.0) 2.0) (* (* y x) y))))

simplify124.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
05731679
137421262
250021262

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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
0114
1114

end0.0ms

sample606.0ms

Algorithm
intervals
Results
404.0ms9150×body80valid