Date:Thursday, March 5th, 2020
Commit:a3b4d238 on findroot
Hostname:warfa with Racket 7.5
Seed:2020065
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

sample1.9m (52.1%)

Algorithm
56×intervals
16×halfpoints
Results
23.3s67318×body1280valid
17.7s17257×body2560valid
7.8s42561×body640valid
4.0s12995×body10240exit
2.8s92261×body80valid
2.5s20958×body320valid
1.8s64473×body80nan
1.4s2324×body1280nan
809.0ms10680×body160valid
795.0ms1942×body640nan
547.0ms47368×pre80true
240.0ms943×body320nan
156.0ms495×body5120valid
75.0ms483×body160nan

prune41.3s (19.3%)

series39.4s (18.5%)

Calls

417 calls:

901.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x))
893.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (log (exp (* (tan x) (tan eps)))))) (tan x))
744.0ms
(log (sqrt (exp (/ (- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (+ (cbrt (+ x 1.0)) (cbrt x))))))
738.0ms
(log (sqrt (exp (/ (- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (+ (cbrt (+ x 1.0)) (cbrt x))))))
685.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (* (sqrt (pow x (/ 1.0 n))) (sqrt (pow (pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n)))) (cbrt (/ 1.0 n))))))

simplify10.9s (5.1%)

Algorithm
196×egg-herbie

rewrite4.7s (2.2%)

Algorithm
124×rewrite-expression-head
Calls

417 calls:

117.0ms
(* (/ (/ (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (cbrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))) (cbrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))) (/ (- (exp x) 1.0) (cbrt (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
74.0ms
(/ (/ 1 (/ (/ (exp (log (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) a) c)) a)
58.0ms
(/ (/ 1 (/ (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) c)) a)
46.0ms
(* (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
45.0ms
(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
Rules
14111×times-frac
10021×add-sqr-sqrt
9859×*-un-lft-identity
6770×add-cube-cbrt
1536×add-exp-log
1385×difference-of-squares
1249×sqrt-prod
1074×associate-/l*
1069×cbrt-prod
1040×add-cbrt-cube
950×log-prod
897×distribute-lft-out--
833×pow1
776×add-log-exp
745×exp-sum
744×associate-*l*
728×distribute-lft-out
711×associate-*r*
649×unpow-prod-down
518×div-inv
477×associate-/r*
443×div-exp
366×associate-/r/
321×sqr-pow
317×prod-exp
277×unswap-sqr
275×flip-- flip3--
271×flip-+ flip3-+
232×cube-prod
230×log-pow
218×cbrt-undiv
203×associate-*l/
193×sqrt-pow1
182×exp-prod
181×swap-sqr
178×cbrt-unprod
156×associate-*r/
143×cbrt-div
134×frac-times
125×sub-neg
124×pow-prod-down
121×pow-unpow diff-log unpow2
119×distribute-rgt-neg-in
109×associate-/l/
100×pow-exp
99×frac-add
97×pow-to-exp
96×tan-quot
86×sqrt-div
83×1-exp rec-exp
81×clear-num frac-2neg
79×*-commutative
70×sum-log
65×pow1/2
62×pow1/3
46×log-div
45×distribute-rgt-in distribute-lft-in
42×frac-sub
41×+-commutative
40×pow-prod-up
36×associate-+l+
32×pow-sqr div-sub
30×associate-+r+
28×rem-log-exp
27×associate--l+
24×unpow3 rem-sqrt-square complex-mul-def cube-mult
23×pow-pow
22×pow-flip
21×exp-diff
19×inv-pow
17×neg-sub0 exp-to-pow
14×difference-cubes associate--r+
13×associate--l- distribute-rgt-out--
12×pow-plus sin-mult associate-+l-
11×rem-cube-cbrt neg-log cos-mult
10×cube-div pow2
rem-exp-log
pow-div sqrt-unprod sub-div *.c-commutative difference-of-sqr-1
associate-+r- +.c-commutative complex-add-def log-rec
sin-cos-mult distribute-lft-neg-in rem-square-sqrt
cos-sum sin-sum associate-+l+.c exp-neg pow-sub associate-*l*.c tan-sum frac-2neg.c pow-neg rem-cbrt-cube
un-div-inv distribute-lft-neg-out diff-atan diff-cos unsub-neg +-inverses neg-mul-1 diff-sin

regimes2.9s (1.3%)

Accuracy

Total 27.7b remaining (12.6%)

Threshold costs 6.2b (2.8%)

4.6b84.2%quadm (p42, negative)
4.6b82.7%quad2m (problem 3.2.1, negative)
3.3b0%expq3 (problem 3.4.2)
2.6b90.3%quad2p (problem 3.2.1, positive)
2.2b79.6%2nthrt (problem 3.4.6)

localize1.9s (0.9%)

bsearch1.2s (0.6%)

end1.0ms (0.0%)