Details

sample3.5m

Algorithm
60×intervals
Results
1.6m336109×body80valid
33.1s208834×body80nan
28.1s21379×body1280valid
11.5s11267×body640valid
6.6s5311×body2560valid
3.7s5126×body320valid
1.4s2685×body160valid
1.0s16512×pre80true
252.0ms233×body5120valid

prune3.0m

simplify2.8m

series59.1s

Calls

352 calls:

Slowest
3.5s
(- (+ (* (* (* t x) 18.0) (* y z)) (- (* c b) (* (* 27.0 j) k))) (* 4.0 (+ (* a t) (* x i))))
3.3s
(- (+ (* (* t x) (* 18.0 (* y z))) (- (* c b) (* (* 27.0 j) k))) (* 4.0 (+ (* a t) (* x i))))
732.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
693.0ms
(* (* (- y z) (/ (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (cbrt (- (+ t 1.0) z)))) (- a x))
676.0ms
(* (* (* (- y z) (* (cbrt (/ 1 (- (+ t 1.0) z))) (cbrt (/ 1 (- (+ t 1.0) z))))) (cbrt (/ 1 (- (+ t 1.0) z)))) (- a x))

regimes28.6s

Accuracy

Total 44.2b remaining (28.7%)

Threshold costs 4.5b (2.9%)

12.2b-12%Linear.Matrix:det44 from linear-1.19.1.3
6.0b1.3%Linear.Matrix:det33 from linear-1.19.1.3
4.9b81.9%The quadratic formula (r1)
3.3b38.5%Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3
2.9b88.7%NMSE problem 3.2.1

rewrite18.3s

Algorithm
102×rewrite-expression-head
Calls

352 calls:

Slowest
1.7s
(* (* (* (- y z) (* (cbrt (/ 1 (- (+ t 1.0) z))) (cbrt (/ 1 (- (+ t 1.0) z))))) (cbrt (/ 1 (- (+ t 1.0) z)))) (- a x))
957.0ms
(* (* (- y z) (/ (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (cbrt (- (+ t 1.0) z)))) (- a x))
737.0ms
(* (* (* (* (* t x) (sqrt 18.0)) (sqrt 18.0)) y) z)
633.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (* (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (sin b) (sin a)))))))
579.0ms
(- (+ (* (* (* t x) 18.0) (* y z)) (- (* c b) (* (* 27.0 j) k))) (* 4.0 (+ (* a t) (* x i))))
Rules
2932×*-un-lft-identity
2924×add-sqr-sqrt
2425×times-frac
2019×add-cube-cbrt
1465×add-exp-log
1257×add-cbrt-cube
1139×pow1
737×cbrt-prod
590×add-log-exp
570×associate-*r*
481×prod-exp
461×associate-*l*
432×cbrt-unprod
382×flip3-- flip--
361×pow-prod-down
352×insert-posit16
347×distribute-rgt-neg-in
332×frac-times
327×distribute-lft-neg-in
309×cbrt-div
307×difference-of-squares
295×associate-/l*
264×distribute-lft-out--
262×div-exp
260×associate-/r*
255×exp-prod
239×associate-*l/
217×associate-*r/
200×cbrt-undiv
194×sqrt-prod
192×distribute-lft-out
161×log-pow
147×div-inv
142×sub-neg
135×associate-/r/
129×unswap-sqr
124×flip-+ flip3-+
123×distribute-rgt-in distribute-lft-in
112×frac-sub
108×*-commutative
102×pow1/3
98×sqrt-div
88×neg-mul-1
86×swap-sqr
78×log-prod diff-log
71×sin-mult
68×pow-prod-up
62×frac-2neg clear-num
53×sum-log associate-/l/
49×sqrt-pow1
48×pow-sqr
46×pow-unpow
42×exp-sum
40×1-exp rec-exp
39×cos-mult
38×associate-+r+
35×pow1/2
34×pow-plus
32×rem-sqrt-square
30×rem-exp-log
29×associate--l+
28×associate--r+
22×pow2
21×tan-quot
19×neg-sub0 +-commutative div-sub
18×associate-+l+
17×pow-flip
15×sub-div associate-+l-
13×exp-diff inv-pow distribute-neg-frac unpow-prod-down
12×neg-log
11×associate--l-
10×frac-add log-div
distribute-frac-neg
pow-exp un-div-inv
pow-pow exp-neg
distribute-lft-neg-out associate-+r- sqr-pow pow-to-exp
exp-to-pow
rem-log-exp
pow3 log-rec cos-sum tan-sum remove-posit16 e-exp-1
unpow-prod-up difference-of-sqr-1 sqrt-unprod +-inverses unpow2 distribute-rgt-out-- rem-cbrt-cube pow-sub cos-2

localize6.5s

bsearch4.3s

end1.0ms