Details

series10.8m (55.7%)

Calls

317 calls:

1.3s
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
1.0s
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
933.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
909.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
892.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))

simplify4.4m (22.6%)

sample1.9m (10.0%)

Algorithm
59×intervals
Results
36.8s263176×body80valid
25.0s210721×body80nan
19.5s21156×body1280valid
8.5s10978×body640valid
5.6s5389×body2560valid
2.3s5172×body320valid
954.0ms16512×pre80true
761.0ms2557×body160valid
192.0ms251×body5120valid

prune1.4m (7.3%)

rewrite26.4s (2.3%)

Algorithm
96×rewrite-expression-head
Calls

320 calls:

2.2s
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.8s
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
Rules
8418×times-frac
7150×*-un-lft-identity
6828×add-sqr-sqrt
5512×add-cube-cbrt
2103×prod-diff
1522×add-exp-log
1228×add-cbrt-cube
996×pow1
639×log-pow
634×associate-/r*
602×exp-prod
576×sqrt-prod
531×difference-of-squares
489×add-log-exp
482×div-inv
476×distribute-rgt-neg-in
466×distribute-lft-out--
429×prod-exp
398×distribute-lft-neg-in
393×div-exp
385×associate-*l*
371×cbrt-prod
370×distribute-lft-out
365×cbrt-unprod
325×associate-/l*
320×expm1-log1p-u log1p-expm1-u insert-posit16 associate-*r*
278×pow-prod-down
273×associate-/r/
271×fma-neg
248×cbrt-undiv
239×associate-+r+
183×log-prod
167×flip3-- flip--
132×neg-mul-1
131×associate--r+
117×exp-sum
101×distribute-rgt-in distribute-lft-in
88×unswap-sqr
82×fma-def
77×frac-2neg clear-num *-commutative
75×associate-*r/
72×sub-neg
70×associate-+l+
63×associate-/l/ diff-log
62×1-exp sqrt-div rec-exp
52×tan-quot
51×pow-prod-up
50×pow1/3
49×fma-udef
47×flip-+ flip3-+ associate-*l/
41×exp-diff swap-sqr
37×pow-sqr
33×sqrt-pow1 pow1/2
32×sum-log
28×sin-mult
24×cos-mult cbrt-div pow-plus
23×frac-times rem-sqrt-square
21×frac-sub
18×pow-flip pow-unpow
17×pow2
16×associate--l+ +-commutative rem-exp-log
15×inv-pow unpow-prod-down
14×div-sub
13×sub-div
12×neg-sub0
11×associate-+l- log-div
10×neg-log
associate--l- frac-add
sqr-pow
pow-exp associate-+r- difference-of-sqr-1 pow-pow pow-to-exp expm1-def
cos-2 un-div-inv rem-log-exp rem-cbrt-cube
distribute-frac-neg distribute-rgt-neg-out cos-sum tan-sum exp-to-pow distribute-neg-frac unpow2 exp-lft-cube
distribute-lft-neg-out sqrt-unprod remove-posit16 associate--r-

regimes16.8s (1.4%)

Accuracy

Total 28.3b remaining (21.8%)

Threshold costs 4.1b (3.2%)

6.1b0.7%Linear.Matrix:det33 from linear-1.19.1.3
4.8b82.5%NMSE problem 3.2.1
3.1b87.9%The quadratic formula (r1)
2.0b0%Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1
1.8b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2

localize5.4s (0.5%)

bsearch1.5s (0.1%)

end1.0ms (0.0%)