Date:Friday, March 6th, 2020
Commit:044801c1 on master
Hostname:warfa with Racket 7.5
Seed:2020066
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample11.3m (84.3%)

Algorithm
78×intervals
Results
9.9m61544×body10240exit
33.7s43506×body1280valid
11.4s30557×body640valid
7.4s204733×body80valid
4.8s152257×body80nan
4.6s27296×body320valid
3.6s205269×pre80true
3.1s36479×body160valid
792.0ms3016×body2560valid
372.0ms8029×body160nan
213.0ms16729×pre80false
127.0ms248×body5120valid

prune52.9s (6.6%)

Filtered
21364 candidates to 12392 candidates (58.0%)

series42.4s (5.3%)

Calls

488 calls:

920.0ms
(pow (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) 3)
723.0ms
(cbrt (pow (pow (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
568.0ms
(pow (pow (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (cbrt 3) (cbrt 3))) (cbrt 3))
564.0ms
(/ (* (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)))
510.0ms
(* (cbrt (fma (* 0.5 s) c_p (- 1 (* 0.5 (* s c_n))))) (cbrt (fma (* 0.5 s) c_p (- 1 (* 0.5 (* s c_n))))))

simplify13.5s (1.7%)

Algorithm
226×egg-herbie

regimes9.4s (1.2%)

Accuracy

Total 28.1b remaining (22.4%)

Threshold costs 5.1b (4.1%)

5.7b58.8%Cubic critical, narrow range
5.3b19.2%Cubic critical, medium range
4.6b82.2%Cubic critical
2.9b17.1%Cubic critical, wide range
2.2b80.9%Quotient of products

rewrite5.0s (0.6%)

Algorithm
148×rewrite-expression-head
Calls

488 calls:

56.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))
55.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
53.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))
50.0ms
(/ (/ (/ 3.0 (/ 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
47.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
Rules
11825×*-un-lft-identity
10602×times-frac
10173×add-sqr-sqrt
7629×add-cube-cbrt
4928×prod-diff
2561×add-exp-log
1874×sqrt-prod
1652×add-cbrt-cube
1064×difference-of-squares
1061×distribute-lft-out--
1032×distribute-lft-out
975×associate-*r*
965×pow1
909×unpow-prod-down
853×distribute-rgt-neg-in
816×prod-exp
783×div-exp
774×add-log-exp
679×associate-/l*
653×associate-/r/
650×div-inv
600×distribute-lft-neg-in
527×fma-neg
491×expm1-log1p-u
488×log1p-expm1-u
459×associate-*l*
455×associate-/r*
430×distribute-rgt-in distribute-lft-in
384×cbrt-unprod cbrt-undiv
376×cube-prod
346×cbrt-prod
330×pow-exp
295×flip--
294×flip3--
275×sqr-pow
264×flip-+
263×flip3-+
238×pow-to-exp
202×unswap-sqr fma-def
200×neg-mul-1
177×log-pow
160×log-prod
155×sin-sum
138×pow-prod-down
115×sub-neg
108×clear-num associate-*r/ frac-2neg
99×cos-sum
98×*-commutative
96×diff-log
89×unpow3 cube-mult
87×associate-/l/
80×unpow2
70×exp-prod sqrt-div
66×frac-times
62×swap-sqr
58×pow1/3
56×associate-*l/
53×pow1/2 pow-unpow sum-log sqrt-pow1
51×distribute-rgt-out
50×associate--l+
47×log-div
46×div-sub
45×1-exp
38×exp-sum
37×+-commutative
34×neg-sub0
32×tan-quot
31×rec-exp
28×rem-sqrt-square associate--l- pow-pow
26×pow-prod-up
25×fma-udef sin-mult
24×associate-+r+ neg-log cbrt-div
23×rem-log-exp
20×cos-diff
18×pow-sqr associate-+l- associate--r+
17×pow-plus frac-sub
16×cube-div sin-diff
13×frac-add pow2
12×rem-cube-cbrt associate--r-
10×acos-asin
sin-cos-mult pow-flip distribute-frac-neg associate-+r- cos-mult
distribute-rgt-neg-out exp-to-pow
rem-exp-log distribute-lft1-in distribute-lft-neg-out expm1-udef rem-cbrt-cube
associate-+l+ expm1-log1p
sin-neg un-div-inv inv-pow distribute-rgt1-in
acos-neg log1p-udef log1p-expm1 unsub-neg unpow-prod-up sub-div
exp-diff count-2 asin-acos
sqrt-undiv e-exp-1 sqrt-unprod pow3 hypot-udef rem-square-sqrt hypot-def

localize2.3s (0.3%)

bsearch539.0ms (0.1%)

end1.0ms (0.0%)