Details

simplify9.5m (43.6%)

series4.2m (19.5%)

Calls

332 calls:

1.7m
(/ 1 (* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))))
1.7m
(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))
1.0s
(/ (- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))) (* (+ b c) (/ t (sqrt (+ t a)))))
1.0s
(- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)))))
741.0ms
(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))

sample3.8m (17.4%)

Algorithm
60×intervals
Results
1.8m335857×body80valid
33.8s210996×body80nan
29.1s21515×body1280valid
12.2s11027×body640valid
6.9s5351×body2560valid
3.2s5056×body320valid
1.2s16512×pre80true
1.0s2407×body160valid
228.0ms224×body5120valid

prune3.3m (15.0%)

regimes30.7s (2.4%)

Accuracy

Total 40.0b remaining (26.9%)

Threshold costs 4.5b (3%)

12.1b-19.2%Linear.Matrix:det44 from linear-1.19.1.3
4.3b84.7%The quadratic formula (r1)
4.2b33.2%Linear.Matrix:det33 from linear-1.19.1.3
3.2b88.6%NMSE problem 3.2.1
2.5b0%cos(2*x)/(cos^2(x)*sin^2(x))

rewrite15.2s (1.2%)

Algorithm
99×rewrite-expression-head
Calls

332 calls:

811.0ms
(/ (* 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)
778.0ms
(/ (* 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)
691.0ms
(/ (* 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)
673.0ms
(/ (* 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)
599.0ms
(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
Rules
3733×times-frac
3519×*-un-lft-identity
3386×add-sqr-sqrt
2497×add-cube-cbrt
1733×add-exp-log
1329×add-cbrt-cube
1080×pow1
723×associate-*l*
670×frac-times
642×prod-exp
523×add-log-exp
514×associate-*r/
511×associate-*r*
506×cbrt-unprod
459×associate-*l/
434×flip-+ flip3-+
415×flip3-- cbrt-prod flip--
362×associate-/r*
341×pow-prod-down
332×insert-posit16
321×div-exp
298×distribute-lft-out--
293×frac-sub
284×sqrt-prod
279×difference-of-squares
271×associate-/l*
268×cbrt-div
260×distribute-rgt-neg-in
246×distribute-lft-neg-in
222×distribute-lft-out
221×cbrt-undiv
217×div-inv
215×associate-/r/
193×associate-/l/
138×unswap-sqr
126×sqrt-div
122×*-commutative
121×sub-neg
101×distribute-rgt-in distribute-lft-in
94×swap-sqr
87×log-prod
80×neg-mul-1
67×exp-diff
66×pow1/3 frac-2neg clear-num
63×diff-log
61×tan-quot
60×1-exp rec-exp
59×exp-prod
58×pow-prod-up
46×sum-log
43×sqrt-pow1 associate-+r+ pow1/2
34×sin-mult
33×exp-sum
31×pow-plus log-pow
30×associate--l+
29×cos-mult
28×rem-sqrt-square pow-sqr
26×rem-exp-log
20×sub-div associate--r+
19×pow-flip
17×+-commutative
16×unpow-prod-down div-sub
15×associate-+l+ pow2 associate-+l-
14×log-div
12×neg-sub0
11×neg-log inv-pow
10×cube-prod
associate--l- frac-add
difference-of-sqr-1 un-div-inv
pow-unpow pow3 cube-div
distribute-lft-neg-out associate-+r- sqr-pow pow-sub
pow-exp distribute-rgt-neg-out
unpow-prod-up distribute-rgt-out-- pow-to-exp
sqrt-unprod pow-pow tan-sum distribute-neg-frac distribute-frac-neg rem-log-exp distribute-neg-in cos-sum cos-2
cube-unmult unpow3 exp-neg sqr-neg rem-square-sqrt remove-posit16 cube-mult e-exp-1

localize6.6s (0.5%)

bsearch6.1s (0.5%)

end1.0ms (0.0%)