Details

Time bar (total: 1.7s)

sample44.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (203.0ms)

IterNodesCost
044173
1132173
2565106
3274072
done500072

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* x x) 6)
0.4b
(* (* x x) 0.0008327945)
0.4b
(* (* x x) 0.0001789971)
28.4b
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma 0.0072644182 (pow x 6) (fma (pow x 4) 0.0424060604 (fma (* x x) 0.1049934947 1.0)))) x) (fma 0.0001789971 (* 2.0 (pow (* x x) 6)) (+ (fma 0.2909738639 (pow x 4) (fma (* 0.7715471019 x) x 1.0)) (fma (pow x 6) 0.0694555761 (* (pow (* x x) 4) (+ (* (* x x) 0.0008327945) 0.0140005442))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-cbrt-cube
11×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
prod-exp
pow-prod-down cbrt-unprod
pow-pow associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow times-frac associate-/r*
cbrt-undiv div-exp associate-*l* associate-*l/ pow-exp *-commutative associate-/l/ unswap-sqr
pow2 pow-to-exp unpow-prod-down frac-2neg flip3-+ pow-plus clear-num pow-sqr pow-prod-up flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 90
Calls
4 calls:
2.0ms
(pow (* x x) 6)
7.0ms
(* (* x x) 0.0008327945)
10.0ms
(* (* x x) 0.0001789971)
10.0ms
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma 0.0072644182 (pow x 6) (fma (pow x 4) 0.0424060604 (fma (* x x) 0.1049934947 1.0)))) x) (fma 0.0001789971 (* 2.0 (pow (* x x) 6)) (+ (fma 0.2909738639 (pow x 4) (fma (* 0.7715471019 x) x 1.0)) (fma (pow x 6) 0.0694555761 (* (pow (* x x) 4) (+ (* (* x x) 0.0008327945) 0.0140005442))))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (* x x) 6)
30.0ms
(* (* x x) 0.0008327945)
25.0ms
(* (* x x) 0.0001789971)
265.0ms
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma 0.0072644182 (pow x 6) (fma (pow x 4) 0.0424060604 (fma (* x x) 0.1049934947 1.0)))) x) (fma 0.0001789971 (* 2.0 (pow (* x x) 6)) (+ (fma 0.2909738639 (pow x 4) (fma (* 0.7715471019 x) x 1.0)) (fma (pow x 6) 0.0694555761 (* (pow (* x x) 4) (+ (* (* x x) 0.0008327945) 0.0140005442))))))

simplify154.0ms

Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
01963026
14982870