Date:Wednesday, April 15th, 2020
Commit:a2983cd2 on master
Hostname:warfa with Racket 7.5
Seed:2020106
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

sample2.3m (51.0%)

Algorithm
78×intervals
Results
37.8s43587×body1280valid
27.6s4152×body5120exit
12.8s30530×body640valid
9.7s68074×body80overflowed
9.6s206218×body80valid
7.0s151735×body80nan
5.7s27540×body320valid
5.3s216761×pre80true
4.1s36146×body160valid
1.0s3076×body2560valid
600.0ms3076×body2560nan
425.0ms2621×body1280nan
365.0ms16511×pre80false
181.0ms1370×body640nan
179.0ms244×body5120valid
66.0ms659×body320nan
21.0ms305×body160nan
7.0msbody320overflowed
6.0ms13×body160overflowed
4.0msbody1280overflowed
3.0msbody640overflowed

series53.3s (20.0%)

Calls

511 calls:

2.2s
(pow (exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))
848.0ms
(/ (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
846.0ms
(/ (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (cbrt (pow (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3))))))
802.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
775.0ms
(* (+ (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)))))

prune45.3s (16.9%)

Filtered
17719 candidates to 11161 candidates (63.0%)

simplify14.0s (5.2%)

Algorithm
223×egg-herbie

regimes9.0s (3.4%)

Accuracy

Total 27.7b remaining (21.6%)

Threshold costs 7.5b (5.9%)

5.2b48.7%Quotient of products
4.8b82.7%Cubic critical
4.8b82.8%Quadratic roots, full range
4.3b70.3%Equirectangular approximation to distance on a great circle
1.1b0%2-ancestry mixing, zero discriminant

rewrite6.2s (2.3%)

Algorithm
145×rewrite-expression-head
Calls

511 calls:

125.0ms
(* (+ (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)))))
123.0ms
(* (+ (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)))))
89.0ms
(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))
76.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))
71.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))))
Rules
7630×times-frac
7329×add-sqr-sqrt
7009×*-un-lft-identity
4140×add-cube-cbrt
2989×add-exp-log
1898×add-cbrt-cube
1569×associate-*r*
1384×difference-of-squares
1299×sqrt-prod
1117×pow1
1037×unpow-prod-down
1007×distribute-lft-out--
983×prod-exp
928×div-exp
917×associate-/l*
831×add-log-exp
732×cube-prod
710×flip--
709×flip3--
639×associate-*l/
599×associate-/r*
583×distribute-rgt-neg-in
575×cbrt-prod
463×cbrt-undiv
458×distribute-lft-out
440×cbrt-unprod
428×associate-*l*
380×pow-exp
362×frac-times
352×div-inv
321×frac-add
314×sqr-pow
308×associate-*r/
295×associate-/r/
284×pow-to-exp
264×sqrt-div
250×distribute-lft-neg-in
228×pow-prod-down
213×unswap-sqr
212×log-prod
204×flip-+
203×flip3-+
185×cbrt-div
166×log-pow
154×neg-mul-1
129×sub-neg
126×associate-/l/ clear-num frac-2neg
116×*-commutative
102×diff-log
101×exp-prod
80×unpow2
76×sum-log
65×div-sub
62×unpow3 cube-mult
59×associate--l+
55×pow-unpow
51×log-div
50×pow1/3 sin-mult
48×distribute-rgt-in distribute-lft-in
47×associate-+r+ 1-exp
46×+-commutative sqrt-pow1
42×pow1/2
40×swap-sqr frac-sub
34×cos-mult
32×neg-sub0 associate-+l-
29×distribute-rgt-out rec-exp
27×rem-sqrt-square
24×rem-log-exp
22×pow-sqr pow-prod-up
20×associate-+l+ tan-quot pow-pow
19×cube-div
18×cos-diff
17×associate--l- sin-diff
16×neg-log
15×cos-sum
14×pow-plus
12×associate-+r- exp-sum
11×exp-diff rem-cube-cbrt pow2 distribute-frac-neg
10×sub-div
rem-exp-log sin-sum acos-asin
difference-cubes
sin-cos-mult distribute-lft1-in rem-cbrt-cube
pow-flip asin-acos associate--r+
un-div-inv exp-to-pow
inv-pow associate--r- distribute-rgt-neg-out
acos-neg sqr-cos
sqrt-unprod
distribute-rgt-out-- unsub-neg tanh-undef sum-cubes

localize2.4s (0.9%)

bsearch656.0ms (0.2%)

end1.0ms (0.0%)