Details

sample3.7m (42.4%)

Algorithm
60×intervals
Results
1.7m334769×body80valid
34.5s205786×body80nan
28.4s21529×body1280valid
13.0s10974×body640valid
7.3s5363×body2560valid
3.6s5079×body320valid
1.3s16512×pre80true
1.1s2521×body160valid
236.0ms238×body5120valid

simplify1.7m (20.2%)

prune1.4m (16.7%)

series49.4s (9.5%)

Calls

348 calls:

785.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
779.0ms
(* (* (- y z) (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ 1 (cbrt (- (+ t 1.0) z))))) (- a x))
774.0ms
(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
763.0ms
(* (* (- y z) (/ 1 (- (+ t 1.0) z))) (- a x))
703.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

regimes26.9s (5.2%)

Accuracy

Total 48.3b remaining (31.7%)

Threshold costs 3.3b (2.2%)

11.0b-8.1%Linear.Matrix:det44 from linear-1.19.1.3
8.3b-5.4%Linear.Matrix:det33 from linear-1.19.1.3
4.4b84.6%The quadratic formula (r1)
4.1b27.5%Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3
3.3b87.6%NMSE problem 3.2.1

rewrite19.6s (3.8%)

Algorithm
104×rewrite-expression-head
Calls

348 calls:

3.3s
(* (* (- y z) (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ 1 (cbrt (- (+ t 1.0) z))))) (- a x))
649.0ms
(* (* (* (- y z) (/ (/ 1 (cbrt (+ t (- 1.0 z)))) (cbrt (+ t (- 1.0 z))))) (/ 1 (cbrt (+ t (- 1.0 z))))) (- a x))
544.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
420.0ms
(/ (+ 0 (* a c)) (sqrt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
415.0ms
(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
Rules
5024×times-frac
4273×add-sqr-sqrt
4141×*-un-lft-identity
3081×add-cube-cbrt
2722×add-exp-log
1568×add-cbrt-cube
1190×pow1
1091×prod-exp
742×div-exp
663×associate-*r*
577×add-log-exp
537×cbrt-unprod
512×associate-*l*
421×associate-/r* sqrt-prod
406×flip3-- flip--
375×difference-of-squares
371×pow-prod-down
361×cbrt-prod
357×frac-times
348×insert-posit16
325×associate-/l*
303×distribute-lft-out--
301×cbrt-undiv
290×distribute-rgt-neg-in
274×div-inv
270×distribute-lft-neg-in
262×associate-*r/
257×associate-*l/
237×associate-/r/
211×distribute-lft-out
203×cbrt-div
200×1-exp rec-exp
187×flip-+ flip3-+
180×frac-sub
178×log-prod
166×unswap-sqr
138×sub-neg
137×distribute-rgt-in distribute-lft-in
125×*-commutative
90×neg-mul-1
88×sqrt-div
83×swap-sqr
82×pow-prod-up
80×associate-+r+
73×frac-2neg clear-num
69×sum-log
67×diff-log
57×pow-flip exp-sum
53×pow1/3
52×associate-/l/
49×inv-pow
48×unpow-prod-down
46×pow-sqr
39×sqrt-pow1
38×pow1/2
37×log-pow
36×exp-prod
34×frac-add
32×sin-mult rem-sqrt-square
31×pow-plus
30×associate--l+ un-div-inv
29×cos-mult
25×difference-of-sqr-1 associate--r+
23×+-commutative
21×associate-+l+ rem-exp-log associate-+l-
20×pow2
18×log-div
16×tan-quot
15×sub-div
14×neg-sub0
12×exp-diff pow-unpow neg-log
div-sub
associate--l- pow-exp
sqr-pow pow-pow rem-log-exp
associate-+r-
pow-to-exp
unpow-prod-up distribute-rgt-neg-out distribute-neg-frac distribute-rgt-out--
remove-posit16 pow3 cos-2 tan-sum cos-sum distribute-frac-neg
unsub-neg sin-cos-mult sqrt-unprod exp-to-pow unpow2 rem-cbrt-cube e-exp-1 pow-sub

localize6.6s (1.3%)

bsearch4.6s (0.9%)

end1.0ms (0.0%)