Details

simplify13.8m (50.9%)

series4.6m (17.0%)

Calls

349 calls:

2.2m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
14.4s
(/ (* (cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))) (cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))))) (* (cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
13.1s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
11.5s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
7.5s
(* (/ (cbrt (- y z)) (- (+ t 1.0) z)) (- a x))

prune3.2m (12.0%)

sample2.6m (9.6%)

Algorithm
59×intervals
Results
58.9s286849×body80valid
22.9s21461×body1280valid
20.6s163433×body80nan
10.4s11186×body640valid
5.7s5235×body2560valid
3.0s4982×body320valid
815.0ms2576×body160valid
777.0ms16512×pre80true
568.0ms258×body5120valid

regimes1.6m (5.7%)

Accuracy

Total 29.5b remaining (23.4%)

Threshold costs 6.2b (4.9%)

8.2b15.9%Linear.Matrix:det33 from linear-1.19.1.3
4.1b85.9%The quadratic formula (r1)
3.9b-24.6%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2
3.6b28.8%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1
2.4b91.3%NMSE problem 3.2.1

rewrite48.1s (3.0%)

Algorithm
103×rewrite-expression-head
Calls

349 calls:

3.4s
(* (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ (- y z) (cbrt (- (+ t 1.0) z)))) (- a x))
1.6s
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
1.4s
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
1.2s
(/ (* (cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))) (cbrt (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))))) (* (cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
748.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
Rules
3234×add-exp-log
2991×*-un-lft-identity
2934×add-sqr-sqrt
2338×times-frac
1980×add-cube-cbrt
1960×prod-exp
1326×add-cbrt-cube
937×pow1
668×associate-*r*
626×associate-*l*
597×cbrt-prod
565×add-log-exp
509×div-exp
465×cbrt-unprod
384×pow-exp pow-to-exp
349×insert-posit16
336×associate-/r*
321×sqrt-prod
314×flip3-- flip--
269×distribute-lft-out--
262×difference-of-squares pow-prod-down
235×frac-times
233×distribute-lft-out
218×associate-/l*
214×associate-*r/
208×cbrt-undiv
176×distribute-rgt-neg-in associate-/r/
169×unswap-sqr
168×swap-sqr
159×associate-*l/
152×frac-sub
150×distribute-lft-neg-in
147×div-inv
146×flip-+ flip3-+
145×sub-neg
135×distribute-rgt-in distribute-lft-in
127×cbrt-div *-commutative
122×sqrt-div
88×log-prod
74×sqrt-pow1
69×pow1/3 frac-2neg clear-num
68×unpow-prod-down
66×diff-log
62×associate-/l/
60×tan-quot
57×pow1/2
56×sum-log
48×neg-mul-1
37×pow-prod-up
36×associate-+r+
32×exp-prod
31×exp-sum
29×1-exp
28×rem-sqrt-square
27×pow-sqr
26×log-pow
23×associate--l+ rec-exp
22×sqr-pow +-commutative
21×associate-+l+ cos-mult
20×associate--r+
19×frac-add
18×sin-mult associate-+l-
17×rem-exp-log
15×distribute-rgt-out--
14×neg-sub0 pow-plus
13×pow2 log-div
11×neg-log sub-div div-sub
exp-diff
pow-unpow
pow-flip associate--l-
inv-pow un-div-inv rem-log-exp
sqrt-unprod pow-pow
associate-+r- cube-unmult tan-sum distribute-neg-frac rem-square-sqrt distribute-frac-neg cos-sum
distribute-lft-neg-out remove-posit16 rem-cbrt-cube unpow1/3

localize23.3s (1.4%)

bsearch7.4s (0.5%)

end1.0ms (0.0%)