Date:Tuesday, June 30th, 2020
Commit:8ccfdff1 on old-regraph
Hostname:debbie with Racket 7.7
Seed:2020182
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

simplify4.3min (67.7%)

sample1.3min (20.0%)

Algorithm
56×intervals
Results
25.5s69854×body1280valid
17.9s17485×body2560valid
9.3s43597×body640valid
3.7s88162×body80valid
3.0s21297×body320valid
2.0s51574×body80nan
1.3s1101×body1280nan
974.0ms10460×body160valid
809.0ms9795×body80overflowed
710.0ms47500×pre80true
612.0ms918×body640nan
310.0ms747×body1280overflowed
204.0ms522×body5120valid
196.0ms456×body320nan
110.0ms378×body640overflowed
97.0ms163×body2560overflowed
44.0ms193×body320overflowed
42.0ms193×body160nan
12.0ms90×body160overflowed

prune29.2s (7.7%)

Filtered
11343 candidates to 7751 candidates (31.7%)

series6.1s (1.6%)

Calls

374 calls:

661.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
115.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
114.0ms
(- (/ (+ (tan x) (tan eps)) (log (exp (- 1 (* (tan x) (tan eps)))))) (tan x))
70.0ms
(cbrt (* b (+ (* b (+ (* (* 1/6 (pow eps 3)) b) (* 1/2 (pow eps 2)))) eps)))
68.0ms
(/ (+ (* 4.0 (* a c)) 0) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))

regimes4.9s (1.3%)

Accuracy

Total 28.9b remaining (20.7%)

Threshold costs 5.4b (3.8%)

4.7b82.5%quad2p (problem 3.2.1, positive)
4.5b84.3%quadp (p42, positive)
4.0b52.4%expq3 (problem 3.4.2)
3.6b87.3%quad2m (problem 3.2.1, negative)
3.5b87.1%quadm (p42, negative)

rewrite4.0s (1.1%)

Algorithm
111×rewrite-expression-head
Calls

374 calls:

86.0ms
(/ (- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (- (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))
79.0ms
(* (/ 1.0 x) (- (/ 1 n) (/ (neg (log x)) (pow n 2))))
61.0ms
(+ (/ 2.0 (pow x 7)) (+ (/ 2.0 (pow x 3)) (/ 2.0 (pow x 5))))
58.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
53.0ms
(* (cbrt (/ (- (log 1.0) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1.0 x))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (/ (- (log 1.0) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1.0 x))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
Rules
4525×*-un-lft-identity
4262×add-sqr-sqrt
3855×times-frac
2438×add-cube-cbrt
1069×add-exp-log
1045×sqrt-prod
836×add-cbrt-cube
779×difference-of-squares
723×cbrt-prod
704×pow1
689×add-log-exp
664×distribute-lft-out--
652×associate-*r*
579×unpow-prod-down
400×distribute-lft-out
374×associate-/l*
371×associate-*l*
367×log-prod
323×associate-/r*
275×flip-- flip3--
217×prod-exp
215×associate-/r/
210×div-exp
206×unswap-sqr
201×log-pow
192×frac-sub
190×flip-+ flip3-+
185×sqr-pow
171×div-inv
167×cube-prod
162×associate-*r/
154×frac-times
151×exp-prod
143×cbrt-undiv
135×swap-sqr
134×unpow2
133×cbrt-unprod
125×associate-*l/
124×diff-log
123×cbrt-div
118×associate-/l/
110×sub-neg
104×exp-sum
100×sqrt-div
81×pow1/3
80×distribute-rgt-neg-in
75×pow-prod-down
70×clear-num frac-2neg
66×pow-exp
62×pow-to-exp *-commutative
54×distribute-lft-neg-in
50×sum-log
44×log-div
43×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2
40×pow-unpow
38×rem-sqrt-square
36×div-sub
34×rem-log-exp
29×tan-quot
26×frac-add
25×unpow-prod-up
24×associate--l+ pow-pow
22×+-commutative
20×pow-prod-up
18×associate-+l+
17×cube-mult pow-sqr unpow3
15×neg-mul-1
13×exp-diff associate--r+
10×neg-sub0 pow-plus
associate--l- pow2 associate-+r+
1-exp rec-exp
rem-exp-log
cube-div sqrt-unprod associate--r- neg-log pow-sub rem-cube-cbrt
inv-pow associate-+l- pow-flip
exp-neg e-exp-1 tan-sum cos-sum sin-sum distribute-frac-neg
associate-+r- rem-square-sqrt diff-cos exp-to-pow sub-div diff-sin diff-atan pow3 un-div-inv distribute-rgt-neg-out distribute-rgt-out-- sin-mult

localize1.4s (0.4%)

bsearch778.0ms (0.2%)

end0.0ms (0.0%)

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