Details

Time bar (total: 4.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms296×body80valid
0.0msbody320valid

simplify231.0ms

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

localize10.0ms

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)

rewrite38.0ms

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:
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
32.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series106.0ms

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

simplify841.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (201.0ms)

IterNodesCost
071602
1188568
2545540
31995530
done5000530

prune78.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
diff-log
sub-neg flip3-- associate-*l/ frac-sub flip-- associate--r+
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube associate--r-
Counts
1 → 18
Calls
1 calls:
14.0ms
(- (* (/ 1.0 8.0) x) (- (/ (* y z) 2.0) t))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (* (/ 1.0 8.0) x) (- (/ (* y z) 2.0) t))

simplify940.0ms

Counts
21 → 21
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
068455
1198440
2665414
32393398
done5000396

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.1b
(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.8b
(- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t))
36.7b
(/ (- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t)) (- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
31×*-un-lft-identity
20×times-frac
19×add-cube-cbrt
13×difference-of-squares
12×flip3-- flip--
11×pow1 associate-*l/ add-log-exp
frac-times
add-exp-log frac-sub add-cbrt-cube
sub-neg
associate--l+ distribute-lft-out--
associate-/r*
distribute-rgt-in distribute-lft-in diff-log associate-/l*
associate-*r/ swap-sqr associate-*r* associate-*l*
associate-/r/ associate-/l/
cbrt-undiv associate--l- pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 125
Calls
4 calls:
41.0ms
(- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
41.0ms
(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
22.0ms
(- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t))
79.0ms
(/ (- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t)) (- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

series445.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
71.0ms
(* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
179.0ms
(- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t))
143.0ms
(/ (- (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* t t)) (- (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

simplify730.0ms

Counts
137 → 137
Iterations

Useful iterations: done (725.0ms)

IterNodesCost
02195626
15675152
222254488
done50004436

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

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
11513
done1513

end0.0ms

sample519.0ms

Algorithm
intervals
Results
294.0ms9108×body80valid
0.0msbody2560valid