Details

series3.6m (27.3%)

Calls

350 calls:

2.3m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
1.7s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
1.4s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
1.4s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
1.4s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))

simplify3.6m (26.9%)

sample3.0m (22.7%)

Algorithm
60×intervals
Results
1.3m335755×body80valid
25.3s208169×body80nan
21.1s21255×body1280valid
9.5s11110×body640valid
5.7s5314×body2560valid
2.9s5236×body320valid
1.8s16512×pre80true
865.0ms2496×body160valid
120.0ms225×body5120valid

prune1.7m (13.0%)

regimes45.0s (5.7%)

Accuracy

Total 48.0b remaining (29.5%)

Threshold costs 3.9b (2.4%)

12.0b-10.4%Linear.Matrix:det44 from linear-1.19.1.3
6.2b21.5%Linear.Matrix:det33 from linear-1.19.1.3
5.0b0%cos(2*x)/(cos^2(x)*sin^2(x))
4.8b82.1%The quadratic formula (r1)
4.0b85.8%NMSE problem 3.2.1

rewrite21.2s (2.7%)

Algorithm
103×rewrite-expression-head
Calls

350 calls:

1.0s
(* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a)))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a))))
689.0ms
(* (* (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt z) (cbrt z)))) (* (/ (cbrt x) (cbrt (cbrt z))) (/ y (cbrt z)))) (/ 1 (cbrt z)))
661.0ms
(cbrt (* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a)))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a)))))
567.0ms
(* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (/ (sin a) (cos a))))
556.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
Rules
5765×add-exp-log
4156×prod-exp
3102×add-sqr-sqrt
3091×times-frac
3027×*-un-lft-identity
2229×add-cube-cbrt
1682×pow1
1460×add-cbrt-cube
930×pow-exp
900×pow-to-exp
838×div-exp
641×cbrt-unprod
610×associate-*r*
597×cbrt-prod
581×associate-*l*
577×add-log-exp
433×flip3-- flip--
416×frac-times
397×pow-prod-up
378×pow-prod-down
328×distribute-rgt-neg-in
327×frac-sub
297×distribute-lft-neg-in
290×associate-*r/
277×cbrt-undiv
265×associate-/r*
261×associate-*l/
252×distribute-lft-out--
240×associate-/l*
225×difference-of-squares
211×cbrt-div
189×sqrt-prod
173×pow-plus
168×pow-sqr
161×div-inv
159×distribute-lft-out
158×unswap-sqr
137×sub-neg
135×flip-+ flip3-+
120×*-commutative
115×distribute-rgt-in distribute-lft-in
108×pow2
107×associate-/r/
90×sqrt-div neg-mul-1
77×log-prod
69×diff-log
63×pow1/3
58×frac-2neg clear-num
54×sum-log
50×exp-prod
49×associate-/l/
46×1-exp rec-exp
43×sqrt-pow1
42×pow1/2
38×exp-sum unpow-prod-down
34×sin-mult
32×associate-+r+
31×rem-sqrt-square
30×swap-sqr rem-exp-log
28×cos-mult associate--l+ log-pow
27×associate-+l+ tan-quot
25×+-commutative
24×associate--r+
21×frac-add
19×associate-+l-
18×neg-sub0
17×sub-div
14×sqr-pow neg-log
13×pow-unpow
12×pow-pow div-sub log-div
11×exp-diff
10×associate--l-
pow3
cube-unmult un-div-inv
pow-flip
distribute-frac-neg difference-cubes inv-pow distribute-neg-frac
distribute-lft-neg-out sqrt-unprod tan-sum exp-to-pow unpow1/3 cos-sum rem-cbrt-cube rem-log-exp
associate-+r- distribute-rgt-neg-out sub0-neg rem-square-sqrt distribute-rgt-out

localize8.5s (1.1%)

bsearch5.3s (0.7%)

end1.0ms (0.0%)