Date:Tuesday, May 19th, 2020
Commit:6de45b16 on cleanup
Hostname:warfa with Racket 7.5
Seed:2020140
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

sample1.7m (44.4%)

Algorithm
78×intervals
Results
36.8s44103×body1280valid
12.6s30470×body640valid
8.6s202885×body80valid
6.4s151312×body80nan
5.4s769×body5120exit
5.3s27560×body320valid
4.1s165555×pre80true
3.8s35968×body160valid
2.1s23759×body80overflowed
918.0ms3029×body2560valid
574.0ms3116×body2560nan
403.0ms2628×body1280nan
355.0ms16143×pre80false
151.0ms1258×body640nan
87.0ms228×body5120valid
60.0ms641×body320nan
20.0ms320×body160nan
2.0msbody160overflowed
1.0msbody320overflowed

series46.9s (21.0%)

Calls

513 calls:

744.0ms
(/ (* (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)))
606.0ms
(/ (* (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)))
451.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
406.0ms
(exp (log (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))))
401.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

prune46.6s (20.8%)

Filtered
17505 candidates to 11357 candidates (64.9%)

simplify13.4s (6.0%)

Algorithm
223×egg-herbie

regimes9.0s (4.0%)

Accuracy

Total 22.4b remaining (18%)

Threshold costs 6.8b (5.5%)

4.3b84.1%Cubic critical
3.6b74.1%Equirectangular approximation to distance on a great circle
3.0b88.9%Quadratic roots, full range
2.4b77%Quotient of products
1.2b0%2-ancestry mixing, zero discriminant

rewrite5.5s (2.4%)

Algorithm
145×rewrite-expression-head
Calls

513 calls:

73.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))
69.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
68.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (* (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))
56.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
51.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))
Rules
6280×add-sqr-sqrt
6263×*-un-lft-identity
6103×times-frac
3565×add-cube-cbrt
2912×associate-*l/
2826×add-exp-log
2008×flip--
2007×flip3--
1880×add-cbrt-cube
1806×frac-times
1422×cbrt-div
1287×sqrt-prod
1283×pow1
1147×difference-of-squares
1000×sqrt-div
964×prod-exp
955×frac-add
942×associate-*r*
845×associate-/l*
827×add-log-exp
825×associate-*r/
821×distribute-lft-out--
787×div-exp
720×associate-*l*
674×unpow-prod-down
576×associate-/r*
526×distribute-lft-out
524×cube-prod
469×cbrt-unprod
408×cbrt-undiv
396×distribute-rgt-neg-in
381×pow-exp
340×associate-/r/
309×pow-prod-down
303×div-inv
276×cbrt-prod
275×pow-to-exp
270×sqr-pow
224×unswap-sqr
198×flip-+
197×flip3-+ log-prod
194×log-pow
145×associate-/l/
143×exp-prod
133×distribute-lft-neg-in
125×clear-num frac-2neg
115×neg-mul-1
113×*-commutative
105×sub-neg log-div
93×diff-log
72×sum-log
68×exp-diff swap-sqr
65×unpow3 cube-mult
63×pow-unpow
59×pow-prod-up
54×div-sub
46×+-commutative
43×pow-sqr
42×distribute-neg-frac
40×pow1/2 sqrt-pow1
34×distribute-rgt-in frac-sub distribute-lft-in
32×neg-sub0
31×associate-+r+
29×rem-sqrt-square pow1/3 pow-plus
28×rem-log-exp pow-pow
26×rem-cube-cbrt
24×cube-div
22×1-exp rec-exp
21×pow2
20×cos-diff associate-+l-
19×neg-log
18×distribute-rgt-out acos-asin
17×sin-sum
16×sin-cos-mult difference-cubes tan-quot associate--r+ sin-diff
15×unpow2
14×associate--l-
13×distribute-frac-neg
12×cos-sum sin-mult exp-sum
10×associate-+r-
rem-cbrt-cube
associate-+l+ rem-exp-log associate--r- associate--l+
cos-mult
distribute-lft-neg-out
acos-neg un-div-inv unsub-neg
sqrt-unprod log-rec asin-acos distribute-rgt-neg-out tanh-def
inv-pow distribute-rgt-out-- pow-flip
distribute-lft1-in sqrt-undiv
cos-PI/2 rem-square-sqrt cos-acos tanh-undef sum-cubes exp-to-pow

localize2.4s (1.1%)

bsearch610.0ms (0.3%)

end1.0ms (0.0%)

Profiling

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