Date:Tuesday, February 18th, 2020
Commit:3b7244d2 on master
Hostname:warfa with Racket 7.5
Seed:2020049
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

sample8.6m (79.5%)

Algorithm
78×intervals
Results
7.2m48902×body10240exit
34.0s43619×body1280valid
11.4s30409×body640valid
7.3s204309×body80valid
4.7s152330×body80nan
4.7s27947×body320valid
3.2s187424×pre80true
3.1s36294×body160valid
793.0ms3068×body2560valid
383.0ms4183×pre10240exit
368.0ms7978×body160nan
101.0ms206×body5120valid
95.0ms8496×pre80false
1.0msbody640nan

prune47.9s (7.4%)

series47.1s (7.3%)

Calls

525 calls:

874.0ms
(* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0)))))
755.0ms
(- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3))
748.0ms
(- (pow (cos delta) 3) (* (pow (sin phi1) 3) (pow (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))) 3)))
698.0ms
(/ (* (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)))
626.0ms
(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (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)))

simplify13.8s (2.1%)

Algorithm
226×egg-herbie

rewrite11.3s (1.7%)

Algorithm
148×rewrite-expression-head
Calls

525 calls:

622.0ms
(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))
199.0ms
(* (cos lambda1) (sin lambda2))
195.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
185.0ms
(/ 1 (* (/ 2.0 (* (/ 4.0 1) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
183.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))
Rules
5706×add-sqr-sqrt
5651×*-un-lft-identity
5623×times-frac
3976×add-exp-log
3479×add-cube-cbrt
2062×add-cbrt-cube
1498×prod-exp
1377×pow1
1334×div-exp
1096×associate-*r*
1003×difference-of-squares
851×unpow-prod-down
830×add-log-exp
692×flip--
691×flip3--
685×associate-/l*
678×distribute-lft-out--
662×associate-*l*
654×pow-exp
629×cube-prod
625×associate-*l/
624×sqrt-prod
585×associate-/r*
534×cbrt-unprod
469×cbrt-undiv
467×pow-to-exp
411×distribute-lft-out
404×sqrt-div
391×frac-times
348×associate-/r/
346×sqr-pow
344×div-inv
339×pow-prod-down
307×associate-*r/
292×cbrt-prod
267×frac-add
245×log-prod
243×distribute-rgt-neg-in
241×flip-+
240×flip3-+
199×unswap-sqr
126×clear-num frac-2neg
123×associate-/l/
117×sub-neg
116×*-commutative
114×1-exp
102×log-pow
98×unpow3 diff-log
96×cube-mult
75×pow-unpow
73×exp-prod rec-exp
65×pow-prod-up
64×sum-log
59×log-div
54×div-sub
51×distribute-lft-neg-in pow-sqr
50×cbrt-div distribute-rgt-in distribute-lft-in
46×+-commutative
42×pow-pow
41×pow1/2 sqrt-pow1
35×pow1/3 pow-plus frac-sub
34×rem-cube-cbrt
33×rem-sqrt-square neg-sub0
30×cube-div
29×tan-quot associate-+l-
28×associate-+l+
27×exp-sum
26×swap-sqr
25×pow2 rem-log-exp
23×difference-cubes sin-mult
22×associate--l-
21×associate-+r+ neg-log
19×associate--r+
18×pow-flip associate--l+
17×neg-mul-1
16×sin-diff
15×unpow2
14×cos-diff distribute-rgt-out cos-mult
12×inv-pow distribute-frac-neg
11×acos-asin
10×associate--r- distribute-rgt-neg-out
cos-sum sum-cubes
sin-cos-mult rem-cbrt-cube
exp-diff associate-+r- sin-sum
sin-neg rem-exp-log
acos-neg
un-div-inv sqrt-unprod tanh-def
distribute-rgt-out--
distribute-lft1-in sub-div exp-to-pow
sub0-neg distribute-lft-neg-out sqr-neg tanh-undef asin-acos cube-neg sqrt-undiv

regimes8.9s (1.4%)

Accuracy

Total 24.4b remaining (19.5%)

Threshold costs 6.9b (5.5%)

5.0b54.1%Quotient of products
3.8b72.1%Equirectangular approximation to distance on a great circle
2.8b89.7%Cubic critical
1.9b0%Hyperbolic tangent
1.9b92.4%Quadratic roots, full range

localize2.6s (0.4%)

bsearch693.0ms (0.1%)

end1.0ms (0.0%)