Date:Thursday, April 9th, 2020
Commit:e7bf75bc on gh-actions
Hostname:warfa with Racket 7.5
Seed:2020100
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

sample9.1m (82.7%)

Algorithm
78×intervals
Results
7.8m51917×body10240exit
33.5s44037×body1280valid
10.9s30370×body640valid
7.1s204772×body80valid
4.8s152067×body80nan
4.6s27662×body320valid
3.4s195433×pre80true
3.1s36029×body160valid
777.0ms3004×body2560valid
394.0ms7951×body160nan
217.0ms16481×pre80false
67.0ms210×body5120valid

series41.7s (6.3%)

Calls

488 calls:

699.0ms
(/ (* (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)))
588.0ms
(* (+ (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)))))
578.0ms
(* (+ (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)))))
578.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
575.0ms
(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)))))))

prune40.0s (6.1%)

Filtered
16376 candidates to 10382 candidates (63.4%)

simplify14.1s (2.1%)

Algorithm
222×egg-herbie

regimes9.9s (1.5%)

Accuracy

Total 26.6b remaining (23.5%)

Threshold costs 7.8b (6.9%)

8.4b54.2%Equirectangular approximation to distance on a great circle
4.6b83.5%Cubic critical
3.1b71.9%Quotient of products
1.6b94.7%Logistic function from Lakshay Garg
1.1b95.3%Quadratic roots, full range

rewrite5.6s (0.9%)

Algorithm
144×rewrite-expression-head
Calls

488 calls:

154.0ms
(/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (+ (* (/ (+ x 1.0) (- x 1.0)) (+ (/ (+ x 1.0) (- x 1.0)) (/ x (+ x 1.0)))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))
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)))))
121.0ms
(* (+ (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)))))
101.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
83.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))
Rules
6800×add-sqr-sqrt
6705×*-un-lft-identity
6617×times-frac
3520×add-cube-cbrt
2776×add-exp-log
1759×add-cbrt-cube
1358×associate-*r*
1337×difference-of-squares
1141×sqrt-prod
1071×distribute-lft-out--
1064×unpow-prod-down
1046×pow1
960×prod-exp
902×associate-*l/
871×cube-prod
848×flip--
847×flip3--
812×associate-/l*
800×add-log-exp
791×div-exp
596×associate-*l*
568×cbrt-prod
504×associate-/r*
484×frac-times
480×sqrt-div
476×distribute-lft-out
445×cbrt-unprod
430×frac-add
393×cbrt-undiv
364×pow-exp
338×div-inv
315×associate-*r/
301×sqr-pow
284×associate-/r/
273×distribute-rgt-neg-in
265×pow-to-exp
248×unswap-sqr log-prod
241×pow-prod-down
171×flip-+
170×flip3-+
159×log-div
122×*-commutative
115×sub-neg
111×clear-num frac-2neg
109×associate-/l/
95×diff-log
87×exp-prod
70×log-pow
68×exp-diff sum-log
66×pow-sub
63×swap-sqr
60×cbrt-div
56×div-sub
49×unpow3 cube-mult
46×distribute-rgt-in distribute-lft-in
44×sqrt-pow1
43×+-commutative
42×pow1/2 pow1/3
37×unpow2
36×pow-unpow
33×neg-sub0 1-exp
32×rem-sqrt-square
31×rec-exp
30×distribute-lft-neg-in
28×distribute-rgt-out associate-+l-
23×frac-sub
21×cos-diff tan-quot neg-log rem-log-exp
19×sin-diff
18×pow-prod-up pow-sqr associate--r+
17×sin-sum acos-asin
16×sin-mult
15×cos-sum
14×associate--l- pow-pow
13×difference-cubes
12×sin-cos-mult pow-plus cos-mult
11×rem-cube-cbrt associate--l+
10×cube-div pow2 neg-mul-1 associate--r-
associate-+l+ associate-+r+
rem-exp-log pow-flip distribute-frac-neg exp-sum
unpow-prod-up
distribute-lft1-in inv-pow distribute-rgt-neg-out
un-div-inv associate-+r-
acos-neg sin-neg sqrt-unprod
cos-PI/2 exp-to-pow rem-cbrt-cube
e-exp-1 sum-cubes distribute-lft-neg-out log-rec cos-acos tanh-undef asin-acos tanh-def

localize2.3s (0.3%)

bsearch664.0ms (0.1%)

end1.0ms (0.0%)