Date:Tuesday, May 5th, 2020
Commit:9fe10098 on separate-biginterval
Hostname:warfa with Racket 7.5
Seed:2020126
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

sample2.0m (49.6%)

Algorithm
73×intervals
Results
34.6s38043×body1280valid
24.7s3769×body5120exit
11.6s26825×body640valid
8.0s62725×body80overflowed
7.7s187921×body80valid
5.7s139613×body80nan
4.9s212181×pre80true
4.4s22225×body320valid
3.1s30950×body160valid
580.0ms3189×body2560nan
403.0ms2659×body1280nan
342.0ms16801×pre80false
166.0ms1359×body640nan
90.0ms105×body2560valid
62.0ms659×body320nan
57.0ms14×body5120valid
22.0ms351×body160nan
5.0msbody320overflowed
4.0msbody640overflowed
2.0msbody160overflowed
2.0msbody1280overflowed

prune49.1s (20.5%)

Filtered
17437 candidates to 11741 candidates (67.3%)

series42.3s (17.7%)

Calls

500 calls:

756.0ms
(/ (* (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)))
612.0ms
(/ (* (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)))
518.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
468.0ms
(/ (- (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* (+ x 1.0) (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (/ (cbrt (+ x 1.0)) (- x 1.0))))) (* (+ x 1.0) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
411.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify12.4s (5.2%)

Algorithm
216×egg-herbie

regimes8.9s (3.7%)

Accuracy

Total 16.5b remaining (25.5%)

Threshold costs 7.1b (11%)

5.5b48.1%Quotient of products
3.9b71.9%Equirectangular approximation to distance on a great circle
1.0b0%2-ancestry mixing, zero discriminant
0.8b0%(- (/ x0 (- 1 x1)) x0)
0.7b0%Hyperbolic sine

rewrite5.7s (2.4%)

Algorithm
143×rewrite-expression-head
Calls

500 calls:

87.0ms
(/ (- (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* (+ x 1.0) (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (/ (cbrt (+ x 1.0)) (- x 1.0))))) (* (+ x 1.0) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
72.0ms
(- (/ 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)))))
64.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)
60.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))
Rules
7589×times-frac
6428×*-un-lft-identity
6315×add-sqr-sqrt
4027×add-cube-cbrt
2819×add-exp-log
2702×cbrt-div
2307×frac-times
2021×flip--
2020×flip3--
1914×associate-*r/
1756×add-cbrt-cube
1477×associate-*l/
1222×associate-*r*
1005×pow1
932×sqrt-prod
921×prod-exp
893×frac-sub
886×difference-of-squares
881×div-exp
823×add-log-exp
754×distribute-lft-out--
722×associate-/l*
716×cbrt-prod
569×flip-+
568×flip3-+
549×associate-/r*
531×associate-/l/
517×unpow-prod-down
496×associate-*l*
462×sqrt-div
451×div-inv
420×distribute-lft-out
418×distribute-rgt-neg-in
416×cbrt-undiv
405×cbrt-unprod
392×associate-/r/
380×frac-add
355×pow-exp
354×cube-prod
258×pow-to-exp
216×unswap-sqr
208×pow-prod-down
172×log-prod
153×sqr-pow
133×distribute-lft-neg-in
117×neg-mul-1
116×*-commutative
113×clear-num frac-2neg
106×sub-neg
94×diff-log
77×cos-mult
76×sum-log
71×pow1/3
66×swap-sqr
56×unpow3 cube-mult
52×div-sub
51×+-commutative
50×1-exp
46×log-pow
37×neg-sub0
36×pow1/2 rec-exp sqrt-pow1 log-div
32×rem-sqrt-square associate-+r+
30×distribute-rgt-in pow-unpow distribute-lft-in
29×associate-+l-
28×distribute-rgt-out
25×neg-log
24×unpow2
23×sin-mult
21×exp-prod tan-quot rem-log-exp
20×cube-div
19×pow-sqr pow-prod-up
18×sin-diff
17×cos-sum cos-diff
14×sin-cos-mult associate--l-
13×pow-plus pow-pow
12×pow2 distribute-frac-neg
11×rem-cube-cbrt associate--l+
associate--r- associate--r+
associate-+l+ acos-asin exp-sum
associate-+r- pow-flip
distribute-lft1-in inv-pow sin-sum rem-cbrt-cube
un-div-inv rem-exp-log asin-acos
exp-diff acos-neg log-rec distribute-rgt-neg-out
difference-cubes distribute-lft-neg-out unsub-neg exp-to-pow
sqrt-unprod tanh-undef sqr-cos tanh-def

localize2.2s (0.9%)

bsearch28.0ms (0.0%)

end1.0ms (0.0%)

Profiling

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