Date:Tuesday, May 26th, 2020
Commit:bdc69189 on cleanup
Hostname:warfa with Racket 7.5
Seed:2020147
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.7m (37.3%)

Algorithm
78×intervals
Results
35.7s44227×body1280valid
11.9s30350×body640valid
8.1s203108×body80valid
6.3s151370×body80nan
5.2s27474×body320valid
4.0s619×body5120exit
3.8s163825×pre80true
3.7s35926×body160valid
1.8s22052×body80overflowed
971.0ms3109×body2560valid
573.0ms3180×body2560nan
379.0ms2525×body1280nan
338.0ms16616×pre80false
160.0ms1328×body640nan
80.0ms236×body5120valid
57.0ms641×body320nan
20.0ms327×body160nan
1.0msbody160overflowed

prune1.4m (30.7%)

Filtered
21032 candidates to 13630 candidates (64.8%)

series47.3s (17.5%)

Calls

502 calls:

771.0ms
(/ (* (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)))
695.0ms
(/ (* (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 (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))
628.0ms
(/ (* (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)))
596.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
395.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

regimes16.1s (6.0%)

Accuracy

Total 23.0b remaining (18.2%)

Threshold costs 6.7b (5.3%)

4.7b82.8%Cubic critical
4.5b83.3%Quadratic roots, full range
3.7b73.1%Equirectangular approximation to distance on a great circle
2.4b78%Quotient of products
1.0b0%2-ancestry mixing, zero discriminant

simplify13.7s (5.1%)

Algorithm
222×egg-herbie

rewrite6.1s (2.3%)

Algorithm
144×rewrite-expression-head
Calls

502 calls:

169.0ms
(/ (/ (/ 1 (/ 2.0 4.0)) (/ 1 c)) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
159.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
100.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
98.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
64.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0))))) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))
Rules
24723×times-frac
14953×*-un-lft-identity
14629×add-sqr-sqrt
10217×add-cube-cbrt
3439×add-exp-log
1979×difference-of-squares
1892×distribute-lft-out--
1778×frac-times
1756×add-cbrt-cube
1494×flip--
1493×flip3--
1235×associate-/l*
1229×div-exp
1210×associate-*l/
1193×sqrt-prod
1189×prod-exp
1142×div-inv
987×pow1
945×cos-mult
925×associate-*r*
910×sqrt-div
902×cbrt-div
861×frac-add
826×associate-*r/
799×add-log-exp
772×distribute-rgt-neg-in
664×unpow-prod-down
634×pow-exp
550×associate-*l*
455×pow-to-exp associate-/r*
444×distribute-lft-out
420×cbrt-undiv
416×cube-prod
397×associate-/r/
376×cbrt-unprod
366×cbrt-prod
188×unswap-sqr
184×flip-+
183×flip3-+
175×pow-prod-down
171×log-prod
159×sqr-pow
127×associate-/l/
125×sub-neg
113×clear-num frac-2neg
110×*-commutative
100×diff-log
85×swap-sqr
74×log-pow
72×1-exp
70×rec-exp
63×pow-unpow exp-prod
60×pow1/3
56×sum-log
50×distribute-rgt-in distribute-lft-in
42×div-sub pow-pow
40×log-div
37×+-commutative
36×pow1/2 sqrt-pow1
35×unpow2
32×unpow3 cube-mult
31×rem-sqrt-square neg-sub0
28×tan-quot
27×frac-sub
22×cos-diff neg-log
21×exp-sum
20×cube-div
18×rem-cube-cbrt un-div-inv pow-sqr pow-prod-up
17×associate-+l-
16×cos-sum rem-log-exp
15×associate--l- sin-diff
14×associate-+r+ pow-plus
13×pow2 distribute-rgt-out sin-mult
12×distribute-lft-neg-in associate-+r- associate--l+
11×sin-cos-mult acos-asin
10×distribute-frac-neg distribute-rgt-neg-out
rem-cbrt-cube
exp-diff acos-neg associate-+l+ pow-flip
difference-cubes sin-sum rem-exp-log inv-pow
associate--r+
unsub-neg asin-acos neg-mul-1
distribute-lft1-in distribute-neg-frac
distribute-neg-out sqrt-unprod exp-neg tanh-undef sqr-cos associate--r- tanh-def mul-1-neg

localize2.4s (0.9%)

bsearch695.0ms (0.3%)

end1.0ms (0.0%)

Profiling

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