Details

simplify4.1m (32.3%)

series3.3m (25.8%)

Calls

359 calls:

2.1m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
3.2s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))
3.1s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
805.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

sample2.9m (23.1%)

Algorithm
60×intervals
Results
1.2m337497×body80valid
24.1s210419×body80nan
22.1s21568×body1280valid
7.9s10909×body640valid
4.6s5285×body2560valid
2.5s5140×body320valid
906.0ms16512×pre80true
807.0ms2503×body160valid
127.0ms221×body5120valid

prune1.3m (9.9%)

rewrite32.3s (4.2%)

Algorithm
105×rewrite-expression-head
Calls

359 calls:

6.4s
(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))
1.2s
(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.2s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))
826.0ms
(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
804.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
Rules
5784×times-frac
4896×add-sqr-sqrt
4598×*-un-lft-identity
3379×add-cube-cbrt
2528×add-exp-log
1438×add-cbrt-cube
1220×prod-exp
993×pow1
857×associate-*r*
636×associate-*r/
624×associate-*l/
602×flip3-- flip--
577×associate-*l*
558×difference-of-squares
551×cbrt-unprod
538×add-log-exp
504×associate-/l*
494×div-exp
440×frac-sub
426×distribute-lft-out--
379×sqrt-prod frac-times
351×associate-/r*
302×cbrt-prod
295×pow-prod-down
246×cbrt-undiv
236×distribute-rgt-neg-in
228×distribute-lft-out
220×log-prod
207×distribute-lft-neg-in
204×unpow-prod-down div-inv
189×distribute-rgt-in distribute-lft-in
181×pow-exp
172×unswap-sqr
159×pow-to-exp
150×associate-/l/
135×*-commutative
133×associate-/r/
131×flip-+ flip3-+
120×exp-prod sub-neg
98×log-pow
94×sqrt-div
87×cbrt-div
81×1-exp
70×pow-flip
65×clear-num frac-2neg
57×neg-mul-1
55×rec-exp
54×sum-log
53×pow1/3
50×associate-+r+
47×sqr-pow
46×diff-log
45×associate-+l+
44×pow1/2 sqrt-pow1
41×exp-sum
36×rem-sqrt-square
33×pow-unpow
31×cube-prod
28×sin-mult
27×associate-+l-
26×associate--r+
25×+-commutative
24×tan-quot
23×cos-mult log-div
21×swap-sqr
18×inv-pow
17×neg-sub0
15×pow-prod-up
14×pow-pow
13×frac-add sub-div
12×distribute-neg-frac neg-log associate--l+
11×unpow2 pow-sqr div-sub
10×un-div-inv rem-exp-log distribute-rgt-neg-out
unpow3 cube-mult
log-rec
cube-div rem-log-exp
associate-+r- pow-plus
exp-diff associate--l- pow2
distribute-lft-neg-out distribute-neg-in distribute-frac-neg
exp-neg
cos-sum mul-1-neg sqrt-unprod unpow-prod-up unsub-neg quot-tan tan-sum exp-to-pow
rem-cube-cbrt sin-cos-mult pow-sub unpow1/2 rem-square-sqrt rem-cbrt-cube pow-neg

regimes26.0s (3.4%)

Accuracy

Total 77.3b remaining (40.3%)

Threshold costs 2.9b (1.5%)

26.8b-1826.8%Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2
13.2b-14.4%Linear.Matrix:det44 from linear-1.19.1.3
6.6b3.2%Linear.Matrix:det33 from linear-1.19.1.3
6.0b-219.3%Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1
5.7b5.6%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

bsearch5.3s (0.7%)

localize4.8s (0.6%)

end1.0ms (0.0%)