Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
12.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
62.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series95.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
48.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify57.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
2.8b
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
3.9b
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
38.8b
(/ (- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3)) (+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
93×associate-*l/
77×add-sqr-sqrt
56×frac-add
42×times-frac
40×difference-of-squares
35×frac-times *-un-lft-identity associate-*r/
30×sqr-pow
25×add-cube-cbrt
23×associate-/r/
16×flip3-+ flip-+
15×add-exp-log add-cbrt-cube
13×associate-/l*
10×unpow-prod-down cube-prod
add-log-exp
associate-*l*
pow1
difference-cubes distribute-lft-out--
cube-div prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*r* associate-/r* associate-/l/
distribute-rgt-in associate-+l+ flip3-- distribute-lft-in frac-sub flip-- div-inv
+-commutative sub-neg frac-2neg diff-log div-sub pow-prod-down clear-num sum-log *-commutative unswap-sqr
Counts
4 → 186
Calls
4 calls:
42.0ms
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
26.0ms
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
60.0ms
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
128.0ms
(/ (- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3)) (+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
177.0ms
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
48.0ms
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
133.0ms
(/ (- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3)) (+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x))))

simplify72.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011535116
150014942

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

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
0166
1166

end0.0ms

sample599.0ms

Algorithm
intervals
Results
277.0ms9134×body80valid
0.0msbody320valid