Date:Tuesday, July 14th, 2020
Commit:2afbfc40 on master
Hostname:warfa with Racket 7.5
Seed:2020196
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

sample2.3min (62.2%)

Algorithm
56×intervals
Results
48.7s70418×body1280valid
32.6s17370×body2560valid
17.2s43843×body640valid
6.4s87817×body80valid
5.8s21307×body320valid
3.5s51575×body80nan
2.5s1165×body1280nan
1.7s10200×body160valid
1.6s9774×body80overflowed
1.2s894×body640nan
1.2s47428×pre80true
542.0ms705×body1280overflowed
383.0ms460×body320nan
299.0ms412×body5120valid
194.0ms366×body640overflowed
183.0ms164×body2560overflowed
93.0ms215×body160nan
76.0ms206×body320overflowed
30.0ms102×body160overflowed

prune36.6s (16.4%)

Filtered
10662 candidates to 6837 candidates (35.9%)

simplify15.2s (6.8%)

Algorithm
165×egg-herbie

series13.1s (5.9%)

Calls

350 calls:

1.3s
(/ (* eps (- (pow (exp (+ a b)) eps) 1.0)) (* (- (pow (exp a) eps) 1.0) (* eps (+ b (+ (* eps (* 1/2 (pow (log 1) 2))) (log 1))))))
1.2s
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (- (pow (exp a) eps) 1.0) (* eps (+ b (+ (* eps (* 1/2 (pow (log 1) 2))) (log 1)))))))
581.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (* (tan x) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ 1 (* (tan x) (tan eps)))) (tan x))
538.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (* (tan x) (* (tan eps) (tan eps)))))) (+ 1 (* (tan x) (tan eps)))) (tan x))
271.0ms
(/ (- (pow (exp a) eps) 1.0) (* 1 (/ (- (pow (exp (+ a b)) eps) 1.0) (+ b (+ (log 1) (* eps (* 1/2 (pow (log 1) 2))))))))

regimes8.8s (4.0%)

Accuracy

Total 25.4b remaining (23.4%)

Threshold costs 5.8b (5.3%)

8.0b50.9%expq3 (problem 3.4.2)
4.8b86%quadp (p42, positive)
2.1b81.9%2nthrt (problem 3.4.6)
1.3b94.7%quad2p (problem 3.2.1, positive)
1.2b95.1%quadm (p42, negative)

rewrite6.5s (2.9%)

Algorithm
109×rewrite-expression-head
Calls

350 calls:

273.0ms
(* (* a 1/2) (* x x))
267.0ms
(/ (- (/ 1.0 (/ x 1.0)) (/ 1.0 (/ (+ 1.0 x) 1.0))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ 1.0 x)))))
186.0ms
(- (/ 1.0 (/ x 1.0)) (/ 1.0 (/ (+ 1.0 x) 1.0)))
90.0ms
(/ (- (/ 1.0 x) (/ 1.0 (+ 1.0 x))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1.0 x)))))
79.0ms
(* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))
Rules
6852×*-un-lft-identity
5949×times-frac
4691×add-sqr-sqrt
2740×add-cube-cbrt
1894×sqrt-prod
1559×distribute-lft-out
1095×add-exp-log
954×add-cbrt-cube
866×distribute-lft-out--
699×pow1
687×difference-of-squares
619×add-log-exp
456×div-inv
433×cbrt-prod
389×associate-/l*
343×associate-*l*
331×unpow-prod-down
290×associate-*r*
288×associate-/r*
263×prod-exp
224×cbrt-unprod
210×div-exp
208×log-prod
191×flip-- flip3--
188×associate-/r/
178×cbrt-undiv
171×flip-+ flip3-+
152×sqr-pow
135×associate-*r/
130×log-pow
127×sqrt-div
116×unswap-sqr
112×pow-unpow pow-prod-down
110×exp-prod
108×sub-neg
105×cbrt-div
94×cube-prod
92×diff-log
88×pow1/3
82×frac-times
81×swap-sqr
73×associate-*l/
69×sqrt-pow1
68×pow-pow
65×clear-num frac-2neg
64×distribute-rgt-out--
59×distribute-rgt-in distribute-lft-in
58×*-commutative
55×associate-/l/
53×sum-log
48×pow1/2 tan-quot
40×pow-exp
39×pow-to-exp
33×log-div frac-sub
32×associate-+r+
29×frac-add +-commutative rem-sqrt-square
24×pow-prod-up
22×rem-log-exp exp-sum associate--l+
21×associate-+l+
20×div-sub pow-sqr
14×1-exp
13×pow-flip
12×rec-exp
pow2 associate-+r- pow-plus exp-diff
distribute-rgt-neg-in cube-mult associate--r+ unpow3
associate--l-
inv-pow distribute-frac-neg
cube-div sin-mult
difference-cubes distribute-rgt-neg-out unpow2 rem-cube-cbrt
neg-sub0 tan-sum cos-sum sin-sum associate--r- neg-log
rem-square-sqrt diff-cos sqrt-pow2 sin-cos-mult sqrt-unprod diff-sin diff-atan un-div-inv associate-+l- rem-cbrt-cube

localize2.4s (1.1%)

bsearch1.5s (0.7%)

end1.0ms (0.0%)

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