Details

Time bar (total: 12.7s)

sample324.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
1.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
03043
17742
222740
372239
4226539
done500139

prune13.0ms

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
(+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))
1.0b
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
22.6b
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
63.0b
(fma (pow y 6.0) 333.75 (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×fma-def
6×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
3×unpow-prod-down
1×+-commutative associate-+r+ flip3-+ sum-log flip-+ distribute-lft-out sqr-pow
Counts
4 → 52
Calls
4 calls:
13.0ms
(+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))
0.0ms
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
0.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
2.0ms
(fma (pow y 6.0) 333.75 (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
1.2s
(+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))
108.0ms
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
325.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
210.0ms
(fma (pow y 6.0) 333.75 (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (447.0ms)

IterNodesCost
01251498
12871477
28061289
330131279
done50011279

prune300.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
1.0b
(* (pow y 6.0) 333.75)
22.6b
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
62.0b
(+ (* (pow y 6.0) 333.75) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u unpow-prod-down log1p-expm1-u
3×associate-*r* prod-exp fma-udef unswap-sqr
2×sqr-pow
1×+-commutative pow-to-exp associate-+r+ fma-def flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
4 → 62
Calls
4 calls:
0.0ms
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
13.0ms
(* (pow y 6.0) 333.75)
0.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
9.0ms
(+ (* (pow y 6.0) 333.75) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))
366.0ms
(* (pow y 6.0) 333.75)
329.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
188.0ms
(+ (* (pow y 6.0) 333.75) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

simplify1.9s

Counts
74 → 74
Iterations

Useful iterations: 3 (778.0ms)

IterNodesCost
01471814
13341670
29791563
340861557
done50001557

prune328.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (pow y 6.0) 333.75)
4.2b
(expm1 (log1p (* (pow y 6.0) 333.75)))
22.6b
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
62.0b
(+ (expm1 (log1p (* (pow y 6.0) 333.75))) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
9×add-exp-log
8×add-cube-cbrt
7×associate-*l*
6×add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u unpow-prod-down log1p-expm1-u
3×fma-def associate-*r* prod-exp unswap-sqr
2×fma-udef expm1-udef sqr-pow
1×+-commutative pow-to-exp associate-+l- associate-+r+ expm1-log1p flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
11.0ms
(* (pow y 6.0) 333.75)
0.0ms
(expm1 (log1p (* (pow y 6.0) 333.75)))
0.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
9.0ms
(+ (expm1 (log1p (* (pow y 6.0) 333.75))) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
387.0ms
(* (pow y 6.0) 333.75)
498.0ms
(expm1 (log1p (* (pow y 6.0) 333.75)))
332.0ms
(fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))
228.0ms
(+ (expm1 (log1p (* (pow y 6.0) 333.75))) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y)))))

simplify1.9s

Counts
79 → 79
Iterations

Useful iterations: 3 (774.0ms)

IterNodesCost
01471889
13271683
29681581
340101578
done50001578

prune404.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 58.1b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02942
13742
done3742

end0.0ms

sample260.0ms

Algorithm
intervals
Results
80.0ms8000×pre80true
38.0ms8000×body80valid