Details

series11.3m (42.5%)

Calls

312 calls:

1.6s
(/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
1.6s
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
1.5s
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
1.3s
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
1.3s
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (* (cbrt (- (* z y) (* t a))) (cbrt (- (* z y) (* t a)))) (* (cbrt (- (* z y) (* t a))) x))))

simplify9.1m (34.1%)

prune2.7m (10.0%)

sample2.1m (8.0%)

Algorithm
59×intervals
Results
35.3s263464×body80valid
24.2s207451×body80nan
20.9s21486×body1280valid
6.9s11041×body640valid
4.8s5390×body2560valid
3.1s4998×body320valid
1.2s2505×body160valid
1.0s16512×pre80true
170.0ms238×body5120valid

regimes54.7s (3.4%)

Accuracy

Total 30.9b remaining (24%)

Threshold costs 4.3b (3.3%)

5.3b28.8%Linear.Matrix:det33 from linear-1.19.1.3
5.0b82.7%NMSE problem 3.2.1
3.7b15.7%cos(2*x)/(cos^2(x)*sin^2(x))
3.2b89.2%The quadratic formula (r1)
2.2b84.6%jeff quadratic root 2

rewrite19.5s (1.2%)

Algorithm
97×rewrite-expression-head
Calls

316 calls:

1.5s
(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
483.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) x) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))))
429.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
428.0ms
(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) x) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))))))
423.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
Rules
3771×*-un-lft-identity
3644×add-exp-log
3491×add-sqr-sqrt
3370×times-frac
2817×add-cube-cbrt
2619×prod-exp
1042×add-cbrt-cube
899×prod-diff
750×pow1
600×pow-exp
599×pow-to-exp
524×add-log-exp
467×distribute-rgt-neg-in
451×distribute-lft-neg-in
433×div-exp
390×cbrt-prod
375×cbrt-unprod
367×sqrt-prod
365×associate-*r*
317×expm1-log1p-u
316×log1p-expm1-u insert-posit16
308×associate-*l*
273×associate-/r*
269×distribute-lft-out
258×exp-prod
242×distribute-lft-out--
239×associate-/l*
207×difference-of-squares
201×div-inv
197×fma-neg
174×pow-prod-down
151×associate-+r+
148×log-pow
146×cbrt-undiv
139×exp-sum
138×flip3-- neg-mul-1 flip--
126×fma-def
121×distribute-rgt-in distribute-lft-in
101×cbrt-div associate-/r/ unswap-sqr
76×log-prod
72×*-commutative
71×pow1/3
70×sub-neg
68×associate-*l/
66×diff-log
61×associate-*r/
60×unpow-prod-down
58×sqrt-div
55×sin-mult
52×frac-2neg clear-num
44×sum-log
43×frac-times swap-sqr flip-+ flip3-+
42×associate-/l/
39×tan-quot
38×rem-exp-log
33×associate-+l+
28×exp-diff sqrt-pow1 pow1/2
27×cos-mult fma-udef
26×rem-sqrt-square
25×frac-sub
22×neg-sub0 sqr-pow
20×+-commutative
17×1-exp associate--l+ rec-exp
16×pow-unpow div-sub
15×associate-+l-
14×sub-div
13×neg-log
12×unpow-prod-up
11×pow-prod-up pow-sqr
10×log-div
distribute-frac-neg
associate--l- distribute-neg-frac
pow-plus
pow2 pow-pow
frac-add
associate--r+ exp-neg
pow-flip associate-+r- inv-pow un-div-inv tan-sum cos-sum associate--r-
expm1-log1p expm1-udef log1p-expm1 pow3 log-rec sqrt-unprod exp-to-pow hypot-def unpow1/3 rem-log-exp rem-cbrt-cube e-exp-1 pow-sub log1p-udef

localize10.8s (0.7%)

bsearch1.5s (0.1%)

end1.0ms (0.0%)