Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify27.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
3.0ms
(/ (* y z) 2.0)
32.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series129.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
19.0ms
(/ (* y z) 2.0)
51.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0282355
11056330
25001330

prune128.0ms

Filtered
59 candidates to 43 candidates (72.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
2.2b
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
2.7b
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
36.3b
(/ (- (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))))

rewrite141.0ms

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
8×add-log-exp
7×associate-*l*
6×pow1
5×difference-cubes distribute-lft-out--
4×cube-div prod-exp cbrt-unprod
3×cbrt-undiv div-exp associate-*r* associate-/r* associate-/l/
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in frac-sub flip-- div-inv
1×+-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:
15.0ms
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
27.0ms
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
18.0ms
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
72.0ms
(/ (- (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))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)))
54.0ms
(* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x)))
199.0ms
(- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3))
141.0ms
(/ (- (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))))

simplify73.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011535116
150024943

prune676.0ms

Filtered
198 candidates to 146 candidates (73.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes149.0ms

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

sample522.0ms

Algorithm
intervals
Results
298.0ms9195×body80valid
0.0ms2×body2560valid
0.0ms1×body640valid
0.0ms1×body320valid