Details

Time bar (total: 16.1s)

sample104.0ms

Algorithm
intervals
Results
75.0ms256×body160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (287.0ms)

IterNodesCost
03144
18142
226340
398238
4355638
done500038

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 5.5 (pow 33096.0 8.0))
1.0b
(+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0)))
1.0b
(+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0)))
62.0b
(+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))

rewrite3.1s

Algorithm
rewrite-expression-head
Rules
22×add-log-exp
14×add-sqr-sqrt
11×*-un-lft-identity sum-log
9×add-exp-log add-cube-cbrt
7×fma-def associate-*r*
6×add-cbrt-cube
4×pow1 expm1-log1p-u unpow-prod-down flip3-+ flip-+ log1p-expm1-u
3×+-commutative associate-*l* prod-exp unswap-sqr
2×associate-+l+ frac-add sqr-pow
1×neg-sub0 pow-to-exp associate-+r- unsub-neg neg-log pow-exp *-commutative cbrt-unprod distribute-lft-out
Counts
4 → 85
Calls
4 calls:
20.0ms
(* 5.5 (pow 33096.0 8.0))
1.7s
(+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0)))
94.0ms
(+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0)))
1.3s
(+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* 5.5 (pow 33096.0 8.0))
0.0ms
(+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0)))
0.0ms
(+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0)))
0.0ms
(+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0)))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01623077
14502772
218732577
done50002553

prune535.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize30.0ms

Local error

Found 3 expressions with local error:

1.0b
(fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))
1.0b
(- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))
58.1b
(fma (* 77617.0 77617.0) (+ -2.0 (fma -121.0 (pow 33096.0 4.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))) (fma (pow 33096.0 6.0) 333.75 (fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×pow1 add-exp-log expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u
2×fma-udef
1×sub-neg flip3-- fma-neg diff-log flip-- sqr-pow
Counts
3 → 42
Calls
3 calls:
0.0ms
(fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))
102.0ms
(- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))
0.0ms
(fma (* 77617.0 77617.0) (+ -2.0 (fma -121.0 (pow 33096.0 4.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))) (fma (pow 33096.0 6.0) 333.75 (fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))))

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))
0.0ms
(- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))
0.0ms
(fma (* 77617.0 77617.0) (+ -2.0 (fma -121.0 (pow 33096.0 4.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))) (fma (pow 33096.0 6.0) 333.75 (fma 5.5 (pow 33096.0 8.0) (/ 77617.0 (* 2.0 33096.0)))))

simplify3.7s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01171329
12481232
28311077
345381045
done50001045

prune337.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 58.1b

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02639
13039
done3039

end0.0ms

sample4.1s

Algorithm
intervals
Results
4.0s8000×body160valid