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: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 (52.4%)

Algorithm
56×intervals
16×halfpoints
Results
24.7s66652×body1280valid
16.8s17204×body2560valid
8.7s42077×body640valid
4.0s12792×body10240exit
3.1s93988×body80valid
2.6s20766×body320valid
1.9s63578×body80nan
921.0ms11023×body160valid
570.0ms47469×pre80true
296.0ms651×body1280nan
221.0ms675×body640nan
127.0ms419×body5120valid
70.0ms371×body320nan
24.0ms216×body160nan

prune40.9s (19.7%)

series34.0s (16.3%)

Calls

372 calls:

509.0ms
(/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
504.0ms
(/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
425.0ms
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
425.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
416.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))

simplify11.8s (5.7%)

Algorithm
194×egg-herbie

rewrite6.6s (3.2%)

Algorithm
122×rewrite-expression-head
Calls

372 calls:

336.0ms
(log (exp (- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))))
245.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
145.0ms
(* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))
139.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
139.0ms
(- (pow (pow (+ x 1.0) (/ 1.0 n)) 3) (pow (pow x (/ 1.0 n)) 3))
Rules
11739×*-un-lft-identity
10832×times-frac
10270×add-sqr-sqrt
7976×add-cube-cbrt
6551×prod-diff
3246×unpow-prod-down
2945×sqrt-prod
1360×cube-prod
1306×add-exp-log
1106×distribute-lft-out
1029×difference-of-squares
929×sqr-pow add-cbrt-cube
811×distribute-lft-out--
694×pow1
660×div-inv
650×log-prod
629×add-log-exp
625×distribute-rgt-neg-in
609×associate-/r/
550×fma-neg
522×associate-*r*
513×associate-/l*
483×distribute-lft-neg-in
464×exp-sum
393×associate-*l*
360×flip-- flip3-- log1p-expm1-u
357×expm1-log1p-u
343×div-exp
338×associate-/r*
304×prod-exp
286×sqrt-div
270×associate-+l+
266×cbrt-prod
207×log-pow
199×unswap-sqr
192×cbrt-undiv
190×unpow3 cube-mult
186×exp-prod
166×neg-mul-1
160×cbrt-unprod
150×flip-+ flip3-+
122×sqrt-pow1
116×unpow2
115×fma-def
108×diff-log
99×sub-neg
94×pow-prod-down
91×swap-sqr
84×pow1/2
72×associate-/l/ frac-2neg clear-num
69×pow-exp
67×pow-to-exp
64×pow-unpow
62×1-exp
61×associate-*l/ associate-*r/
53×rec-exp
51×log-div
49×*-commutative
47×frac-times
46×pow-prod-up
44×associate-+r+
42×cbrt-div
40×distribute-rgt-in distribute-lft-in
39×rem-log-exp
38×tan-quot
32×pow1/3
31×rem-sqrt-square fma-udef sum-log
29×div-sub
24×complex-mul-def
23×+-commutative
22×neg-sub0
18×pow-sqr pow-flip
16×associate--l- frac-sub
14×frac-add
13×neg-log
10×inv-pow
exp-diff pow-pow un-div-inv
associate--l+
sqrt-unprod associate-+r- associate-+l-
cube-div rem-cube-cbrt *.c-commutative difference-of-sqr-1 associate--r+
rem-exp-log difference-cubes pow-plus
pow2 +.c-commutative complex-add-def cos-mult distribute-rgt-out-- expm1-udef
sin-cos-mult log1p-udef sub-div expm1-log1p sin-mult
distribute-neg-out associate-+l+.c expm1-def exp-neg log1p-expm1 pow-sub unsub-neg rem-square-sqrt distribute-frac-neg associate-*l*.c cos-sum tan-sum rem-cbrt-cube pow-neg sin-sum log-rec mul-1-neg
diff-atan diff-cos log1p-def distribute-rgt-neg-out frac-2neg.c exp-to-pow diff-sin

regimes2.8s (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)
1.6b93.5%quad2p (problem 3.2.1, positive)

localize1.8s (0.9%)

bsearch1.1s (0.5%)

end1.0ms (0.0%)