Date:Tuesday, February 25th, 2020
Commit:7c13946c on findroot
Hostname:warfa with Racket 7.5
Seed:2020056
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.1m (29.9%)

Algorithm
60×intervals
Results
24.1s337192×body80valid
8.8s21318×body1280valid
8.5s205719×body80nan
3.1s11029×body640valid
2.5s5293×body2560valid
984.0ms4993×body320valid
406.0ms16512×pre80true
327.0ms2525×body160valid
58.0ms214×body5120valid

prune1.1m (29.6%)

series51.6s (22.5%)

Calls

351 calls:

3.6s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.0s
(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
926.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
741.0ms
(/ (* (* x (/ (pow (/ 1 (sqrt a)) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ 1 (sqrt a)) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

regimes14.2s (6.2%)

Accuracy

Total 41.6b remaining (26.6%)

Threshold costs 4.1b (2.6%)

10.9b-4.2%Linear.Matrix:det44 from linear-1.19.1.3
4.7b29.3%Linear.Matrix:det33 from linear-1.19.1.3
4.7b82.1%NMSE problem 3.2.1
4.3b85%The quadratic formula (r1)
2.5b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2

rewrite12.6s (5.5%)

Algorithm
103×rewrite-expression-head
Calls

351 calls:

1.1s
(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
1.1s
(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
840.0ms
(* (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ (- y z) (cbrt (- (+ t 1.0) z)))) (- a x))
667.0ms
(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
644.0ms
(* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))))
Rules
18980×times-frac
10459×*-un-lft-identity
9245×add-sqr-sqrt
7556×add-cube-cbrt
4276×cbrt-prod
3947×add-exp-log
2332×unpow-prod-down
2309×prod-exp
1308×add-cbrt-cube
1085×distribute-rgt-neg-in
1062×sqrt-prod
984×distribute-lft-neg-in
974×associate-*r/
945×associate-*l/
916×associate-*r*
915×pow1
844×flip3-- div-exp flip--
751×associate-*l*
724×distribute-lft-out--
656×frac-sub
635×associate-/r*
626×difference-of-squares
620×div-inv
602×frac-times
579×distribute-lft-out
575×pow-exp
543×add-log-exp
495×swap-sqr
464×pow-to-exp
454×cbrt-unprod
448×exp-sum
328×sqrt-div
259×associate-/l*
252×flip-+ flip3-+
249×pow-prod-down
242×neg-mul-1
224×associate-/l/
215×cbrt-undiv
206×cbrt-div
195×unswap-sqr
170×associate-/r/
140×sqr-pow
131×*-commutative
127×sub-neg
123×distribute-rgt-in distribute-lft-in
92×pow1/3
83×1-exp
80×rec-exp
79×log-prod
62×distribute-neg-frac
60×diff-log
59×frac-2neg clear-num
58×tan-quot
55×log-pow
49×pow-unpow sum-log
47×sqrt-pow1
33×pow1/2 exp-prod
32×sin-mult
28×associate-+r+
26×pow-prod-up associate--r+
24×sub-div cos-mult
23×pow-pow
22×+-commutative
21×associate-+l+ rem-sqrt-square
20×associate-+l-
19×pow-flip
18×pow-sqr
16×inv-pow
15×pow-plus
14×neg-sub0 associate--l+
13×frac-add div-sub
11×neg-log pow2
10×log-div
un-div-inv rem-exp-log associate--l-
cube-div
distribute-lft-neg-out log-rec
unpow3
rem-cube-cbrt cube-prod distribute-neg-in cube-mult
exp-diff
sqrt-unprod exp-to-pow distribute-frac-neg unpow-prod-up cos-sum tan-sum rem-cbrt-cube distribute-rgt-neg-out associate-+r-
pow3 exp-neg pow-sub rem-square-sqrt pow-neg rem-log-exp

simplify9.7s (4.2%)

Algorithm
163×egg-herbie

localize2.7s (1.2%)

bsearch2.2s (1.0%)

end0.0ms (0.0%)