Date:Saturday, May 9th, 2020
Commit:05e10696 on master
Hostname:warfa with Racket 7.5
Seed:2020130
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

sample1.8m (47.5%)

Algorithm
78×intervals
Results
35.6s43497×body1280valid
12.3s30646×body640valid
11.8s1747×body5120exit
8.6s203560×body80valid
6.6s153214×body80nan
5.4s27794×body320valid
4.6s181053×pre80true
4.3s36600×body80overflowed
3.9s36189×body160valid
954.0ms3015×body2560valid
572.0ms3133×body2560nan
400.0ms2634×body1280nan
361.0ms16372×pre80false
165.0ms1351×body640nan
135.0ms238×body5120valid
65.0ms674×body320nan
22.0ms342×body160nan
2.0msbody1280overflowed
1.0msbody640overflowed
1.0msbody160overflowed

series44.8s (19.6%)

Calls

501 calls:

955.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
629.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
589.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (* (fabs (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 3.0 a) c)))))))
553.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
549.0ms
(log (exp (* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))))

prune43.5s (19.1%)

Filtered
17497 candidates to 11191 candidates (64.0%)

simplify13.2s (5.8%)

Algorithm
223×egg-herbie

regimes9.7s (4.2%)

Accuracy

Total 18.6b remaining (17%)

Threshold costs 7.2b (6.6%)

3.4b75%Equirectangular approximation to distance on a great circle
3.1b88.3%Cubic critical
2.6b77%Quotient of products
1.2b95.1%Quadratic roots, full range
1.1b0%2-ancestry mixing, zero discriminant

rewrite5.6s (2.4%)

Algorithm
145×rewrite-expression-head
Calls

501 calls:

115.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
113.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
83.0ms
(- (- (/ (neg 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))
64.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
54.0ms
(- (/ (neg 1.0) (pow x 2)) (/ 3.0 x))
Rules
8823×times-frac
7613×add-sqr-sqrt
6990×*-un-lft-identity
4165×add-cube-cbrt
2741×add-exp-log
1782×add-cbrt-cube
1510×associate-*r*
1461×difference-of-squares
1363×sqrt-prod
1132×distribute-lft-out--
1076×pow1
1038×flip--
1037×flip3--
989×associate-*l/
934×distribute-rgt-neg-in
919×prod-exp
892×associate-/l*
814×add-log-exp
797×div-exp
710×unpow-prod-down
679×frac-times
540×cube-prod
536×sqrt-div
523×distribute-lft-neg-in
485×associate-/r*
483×neg-mul-1
474×associate-*l*
441×frac-add
437×cbrt-unprod
399×associate-*r/
387×cbrt-undiv
356×div-inv
351×pow-exp
334×cbrt-prod
287×distribute-lft-out
274×associate-/r/
256×pow-to-exp
237×cbrt-div
236×pow-prod-down
227×sqr-pow
211×log-prod
198×unswap-sqr
195×flip-+
194×flip3-+
129×associate-/l/
123×sub-neg
118×clear-num frac-2neg
116×diff-log
115×*-commutative
113×log-div
112×swap-sqr
90×log-pow
73×exp-diff
68×exp-prod
60×div-sub
58×pow1/3
53×sum-log
50×unpow3 cube-mult
42×pow1/2 sqrt-pow1
39×pow-unpow
38×associate-+r+
37×distribute-rgt-in distribute-lft-in unpow2
34×tan-quot
33×1-exp rem-log-exp
32×neg-sub0 associate-+l-
31×+-commutative
29×rem-sqrt-square
26×sin-mult
25×frac-sub
23×pow-prod-up
22×rec-exp
21×pow-pow pow-sqr exp-sum
19×sin-diff
17×neg-log
16×cos-diff
15×pow2 pow-plus associate--l+
14×distribute-frac-neg
13×sin-cos-mult associate--l-
12×associate-+l+ rem-exp-log acos-asin
11×cube-div rem-cube-cbrt distribute-rgt-out
10×cos-mult associate--r+
cos-sum
difference-cubes associate--r-
acos-neg sin-sum
associate-+r-
un-div-inv distribute-rgt-out-- asin-acos exp-to-pow
inv-pow pow-flip tanh-def log-rec
mul-1-neg
distribute-lft1-in sqrt-unprod distribute-rgt-neg-out
rem-cbrt-cube sqr-sin unsub-neg rem-square-sqrt sub-div tanh-undef sqr-cos sum-cubes

localize2.3s (1.0%)

bsearch760.0ms (0.3%)

end1.0ms (0.0%)

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