Date:Friday, May 1st, 2020
Commit:b6776165 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020122
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 (52.3%)

Algorithm
56×intervals
16×halfpoints
Results
25.9s67653×body1280valid
18.3s16934×body2560valid
9.2s42503×body640valid
3.7s92302×body80valid
2.9s20604×body320valid
2.4s64585×body80nan
1.2s1075×body1280nan
1.1s15523×body80overflowed
1.0s10919×body160valid
738.0ms47366×pre80true
684.0ms955×body640nan
210.0ms471×body320nan
158.0ms414×body5120valid
49.0ms218×body160nan

series49.5s (22.8%)

Calls

421 calls:

1.2s
(cbrt (* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))))
1.1s
(cbrt (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
1.1s
(* (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
1.1s
(* (exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps))) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
1.1s
(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

prune32.1s (14.8%)

Filtered
14374 candidates to 9140 candidates (63.6%)

simplify11.3s (5.2%)

Algorithm
196×egg-herbie

rewrite4.5s (2.1%)

Algorithm
124×rewrite-expression-head
Calls

421 calls:

181.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
69.0ms
(* (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (/ (- (sqrt (pow (exp x) 3)) (pow (sqrt 1.0) 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))
61.0ms
(* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y))
53.0ms
(* (exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps))) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
53.0ms
(* (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
Rules
7704×times-frac
7271×*-un-lft-identity
6736×add-sqr-sqrt
4244×add-cube-cbrt
3917×sqrt-prod
1425×add-exp-log
1097×add-cbrt-cube
1016×difference-of-squares
963×distribute-lft-out
838×associate-*l*
805×associate-*r*
767×add-log-exp
717×pow1
700×unpow-prod-down
682×associate-/l*
659×distribute-lft-out--
540×cbrt-prod
385×prod-exp
355×associate-/r*
353×sqr-pow
297×unswap-sqr
292×div-exp
287×cube-prod
253×flip-+ flip3-+
251×div-inv flip3-- flip--
246×associate-/r/
219×cbrt-unprod
208×cbrt-undiv
188×log-prod
167×cbrt-div
161×associate-*l/
158×sqrt-div
137×unpow2
132×sub-neg
123×associate-*r/
115×diff-log
111×exp-prod
109×frac-times
101×pow-prod-down
98×pow-unpow log-pow distribute-rgt-neg-in
86×*-commutative
85×pow-exp
81×associate-/l/ pow-to-exp
72×frac-2neg clear-num
71×pow1/3
67×sum-log
59×frac-sub
55×pow-pow
54×swap-sqr
50×distribute-rgt-in distribute-lft-in
49×tan-quot
41×log-div
40×pow1/2 +-commutative sqrt-pow1
31×frac-add
29×1-exp rec-exp
28×rem-sqrt-square
27×difference-cubes
25×div-sub
24×complex-mul-def
22×rem-log-exp
21×distribute-rgt-out--
20×associate-+l+
18×unpow3 cube-mult
17×associate--l+
15×exp-sum
14×rem-cube-cbrt associate--r+
13×exp-diff pow-sqr neg-sub0 pow-prod-up
12×distribute-lft-neg-in cube-div associate-+r+
11×associate-+l- exp-to-pow
neg-log
rem-exp-log associate--l- sub-div pow-flip cos-mult
un-div-inv pow2 sin-mult exp-lft-cube
pow-plus *.c-commutative
difference-of-sqr-1
inv-pow +.c-commutative complex-add-def distribute-neg-frac
sqrt-pow2 sqrt-unprod neg-mul-1 rem-cbrt-cube
cos-sum associate-+l+.c associate-+r- exp-neg associate-*l*.c tan-sum frac-2neg.c sin-sum
sin-cos-mult diff-atan diff-cos +-inverses diff-sin

regimes3.1s (1.4%)

Accuracy

Total 24.1b remaining (10.9%)

Threshold costs 5.2b (2.4%)

3.4b0%expq3 (problem 3.4.2)
3.0b88.7%quad2m (problem 3.2.1, negative)
3.0b89.3%quadp (p42, positive)
2.0b81.9%2nthrt (problem 3.4.6)
1.9b92.3%quad2p (problem 3.2.1, positive)

localize1.9s (0.9%)

bsearch1.4s (0.6%)

end1.0ms (0.0%)

Profiling

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