Details

Time bar (total: 3.2s)

sample29.0ms

Algorithm
intervals
Results
17.0ms296×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

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
33.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
51.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.3b
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
5.2b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
27.9b
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
39×associate-*l/
24×times-frac
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×frac-sub
15×prod-exp cbrt-unprod
13×cbrt-undiv frac-times associate-*r/ div-exp
11×pow1 associate-/l/
8×add-log-exp
7×swap-sqr associate-*r* associate-*l*
5×div-inv difference-of-squares
4×associate-/l*
3×associate-/r* associate-/r/
2×flip3-- flip3-+ frac-add flip-- flip-+
1×+-commutative pow2 sub-neg frac-2neg pow-plus diff-log div-sub pow-prod-down clear-num sum-log pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 136
Calls
4 calls:
6.0ms
(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
15.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
23.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
76.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
35.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
111.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
107.0ms
(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify122.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
07131836
141461606
250011589

prune407.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.3b
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
5.2b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
28.0b
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*l/
53×add-exp-log
47×add-cbrt-cube
37×add-sqr-sqrt
32×times-frac
30×frac-times
29×*-un-lft-identity
28×add-cube-cbrt
27×frac-sub
23×associate-*r*
20×associate-*r/
19×prod-exp
17×cbrt-unprod
16×div-exp
14×pow1 cbrt-undiv
11×associate-*l*
7×swap-sqr
6×associate-/r/ div-inv add-log-exp
4×unswap-sqr
3×flip3-- associate-/r* flip-- associate-/l*
2×rec-exp flip3-+ 1-exp pow-prod-down frac-add *-commutative flip-+ difference-of-squares
1×pow2 sub-neg pow-flip frac-2neg pow-plus diff-log clear-num pow-sqr un-div-inv pow-prod-up inv-pow
Counts
4 → 174
Calls
4 calls:
12.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
15.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
23.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
118.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
34.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
111.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
111.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08392371
150012076

prune416.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes143.0ms

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

sample771.0ms

Algorithm
intervals
Results
529.0ms9130×body80valid
1.0ms2×body2560valid
0.0ms2×body320valid