Details

Time bar (total: 8.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms289×body80valid

simplify259.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12413
24513
37013
49413
510313
611213
714313
821613
931113
1031313
done31313

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))

rewrite36.0ms

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:
30.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series112.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
58.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify638.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
071602
1188568
2545540
31982530
done5001530

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (- (* (* (/ 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))) t)
0.3b
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(/ (- (* (* (/ 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)))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
38×associate-*l/
24×times-frac
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
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-+ div-sub flip-- flip-+
1×+-commutative pow2 associate-+l- sub-neg frac-2neg pow-plus diff-log pow-prod-down frac-add clear-num sum-log pow-sqr *-commutative pow-prod-up distribute-lft-out unswap-sqr
Counts
4 → 137
Calls
4 calls:
166.0ms
(+ (/ (- (* (* (/ 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))) t)
14.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
72.0ms
(/ (- (* (* (/ 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)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (/ (- (* (* (/ 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))) t)
37.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
109.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
106.0ms
(/ (- (* (* (/ 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)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02554611
17454203
232293751
done50013751

prune357.0ms

Pruning

4 alts after pruning (3 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))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(* (- (* (* (/ 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))))

rewrite162.0ms

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:
11.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
14.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms
(- (* (* (/ 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 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
32.0ms
(* (/ (* y z) 2.0) (/ (* y z) 2.0))
119.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
99.0ms
(* (- (* (* (/ 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))))

simplify1.4s

Counts
186 → 186
Iterations

Useful iterations: 2 (532.0ms)

IterNodesCost
02825270
18074720
235134084
done50014084

prune427.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
3.1b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ (/ 1 (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
160×times-frac
153×cbrt-div
139×associate-*r*
134×associate-*l/
93×associate-/r/
83×frac-times
82×add-sqr-sqrt
75×cbrt-prod
66×*-un-lft-identity
64×add-cube-cbrt
51×flip3-+ frac-add flip-+
37×associate-*r/
32×add-exp-log
27×frac-sub
13×add-cbrt-cube
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1 add-log-exp
5×cbrt-undiv cbrt-unprod
4×associate-*l*
3×flip3-- flip--
2×rec-exp pow1/3 1-exp difference-of-squares
1×sub-neg diff-log pow-prod-down *-commutative
Counts
4 → 244
Calls
4 calls:
8.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
21.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
230.0ms
(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ (/ 1 (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
221.0ms
(cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
108.0ms
(- (* (* (/ 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 (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

simplify551.0ms

Counts
256 → 256
Iterations

Useful iterations: done (537.0ms)

IterNodesCost
054115688
1138315245
done500014893

prune969.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11613
done1613

end0.0ms

sample524.0ms

Algorithm
intervals
Results
297.0ms9131×body80valid
0.0ms1×body1280valid