Date:Tuesday, February 18th, 2020
Commit:5d186d9c on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020049
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

sample1.8m (52.7%)

Algorithm
56×intervals
16×halfpoints
Results
24.5s66652×body1280valid
16.6s17204×body2560valid
8.2s42077×body640valid
4.0s12792×body10240exit
2.9s93988×body80valid
2.6s20766×body320valid
1.7s63578×body80nan
888.0ms11023×body160valid
602.0ms47469×pre80true
297.0ms651×body1280nan
218.0ms675×body640nan
120.0ms419×body5120valid
69.0ms371×body320nan
23.0ms216×body160nan

prune38.9s (19.1%)

series33.8s (16.6%)

Calls

372 calls:

684.0ms
(/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
659.0ms
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
499.0ms
(/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
425.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
422.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))

simplify11.5s (5.6%)

Algorithm
194×egg-herbie

rewrite6.4s (3.2%)

Algorithm
122×rewrite-expression-head
Calls

372 calls:

317.0ms
(log (exp (- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))))
235.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
141.0ms
(* (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))))
134.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
132.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
Rules
11274×*-un-lft-identity
9849×add-sqr-sqrt
9806×times-frac
7547×add-cube-cbrt
6016×prod-diff
3273×unpow-prod-down
2134×sqrt-prod
1389×cube-prod
1246×add-exp-log
1077×distribute-lft-out
1035×difference-of-squares
937×sqr-pow
895×add-cbrt-cube
820×distribute-lft-out--
690×pow1
631×add-log-exp
588×div-inv
571×log-prod
570×fma-neg
519×associate-/r/ distribute-rgt-neg-in
512×associate-*r*
504×associate-/l*
474×associate-*l*
442×exp-sum
436×cbrt-prod
377×distribute-lft-neg-in
360×log1p-expm1-u
357×expm1-log1p-u
337×associate-/r*
316×div-exp
315×flip-- flip3--
277×prod-exp
248×associate-+l+
220×log-pow
198×unswap-sqr
197×unpow3 cube-mult
196×sqrt-div
184×cbrt-undiv
176×exp-prod
147×flip-+ flip3-+
146×cbrt-unprod
132×neg-mul-1
121×sqrt-pow1
117×unpow2
110×diff-log
106×fma-def
98×sub-neg
90×swap-sqr
83×pow1/2
81×pow-prod-down
72×associate-/l/
71×frac-2neg clear-num
70×pow-unpow
69×pow-exp
66×pow-to-exp
59×associate-*r/
57×associate-*l/
52×1-exp rec-exp
49×log-div
47×*-commutative
44×cbrt-div
42×pow-prod-up frac-times
38×tan-quot
35×rem-log-exp
33×pow1/3
31×rem-sqrt-square fma-udef
30×sum-log
29×div-sub
24×complex-mul-def
22×+-commutative
20×neg-sub0
16×associate--l- associate-+r+ frac-sub
14×frac-add pow-sqr pow-flip
13×neg-log
12×pow-pow
11×inv-pow
un-div-inv associate--r+
associate--l+
exp-diff rem-cube-cbrt sqrt-unprod
cube-div associate-+r- *.c-commutative difference-of-sqr-1 associate-+l-
difference-cubes
pow-div +.c-commutative complex-add-def cos-mult distribute-rgt-out-- expm1-udef
rem-exp-log sin-cos-mult log1p-udef sub-div pow2 expm1-log1p pow-plus sin-mult rem-cbrt-cube
distribute-neg-out distribute-rgt-in associate-+l+.c expm1-def exp-neg log1p-expm1 unsub-neg rem-square-sqrt associate-*l*.c cos-sum tan-sum distribute-neg-frac sin-sum distribute-lft-in mul-1-neg
diff-atan diff-cos distribute-frac-neg log1p-def frac-2neg.c exp-to-pow diff-sin

regimes2.9s (1.4%)

Accuracy

Total 24.5b remaining (11.3%)

Threshold costs 5.7b (2.6%)

4.2b85.4%quad2m (problem 3.2.1, negative)
4.1b85.8%quadm (p42, negative)
3.2b0%expq3 (problem 3.4.2)
1.7b82.6%2cos (problem 3.3.5)
1.6b93.4%quadp (p42, positive)

localize1.8s (0.9%)

bsearch1.1s (0.5%)

end1.0ms (0.0%)