Date:Saturday, February 29th, 2020
Commit:d0c22b93 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020060
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 (52.3%)

Algorithm
56×intervals
16×halfpoints
Results
24.4s67029×body1280valid
17.2s17378×body2560valid
8.4s42585×body640valid
3.9s12887×body10240exit
3.0s93517×body80valid
2.8s20689×body320valid
1.7s62674×body80nan
877.0ms10728×body160valid
576.0ms47410×pre80true
293.0ms655×body1280nan
223.0ms672×body640nan
131.0ms461×body5120valid
72.0ms380×body320nan
22.0ms192×body160nan

prune42.8s (20.2%)

Filtered
18427 candidates to 10221 candidates (55.5%)

series34.5s (16.3%)

Calls

379 calls:

679.0ms
(/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
500.0ms
(/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
422.0ms
(/ (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
403.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
377.0ms
(cbrt x)

simplify10.9s (5.1%)

Algorithm
192×egg-herbie

rewrite6.8s (3.2%)

Algorithm
120×rewrite-expression-head
Calls

379 calls:

237.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
189.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
127.0ms
(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
119.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
115.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (tan x) (sin eps)) (cos eps)))) (tan x))
Rules
11214×*-un-lft-identity
10427×times-frac
9425×add-sqr-sqrt
7306×add-cube-cbrt
3916×sqrt-prod
3875×prod-diff
1322×distribute-lft-out
1277×add-exp-log
1260×unpow-prod-down
943×add-cbrt-cube
850×difference-of-squares
796×pow1
784×associate-*l*
747×distribute-lft-out--
643×add-log-exp
597×associate-*r*
578×div-inv
505×fma-neg
485×associate-/r*
482×associate-/l*
459×sqr-pow
458×associate-/r/
395×log-prod
372×div-exp
365×log1p-expm1-u
364×expm1-log1p-u
358×cbrt-prod
323×cube-prod
320×associate-+l+
266×distribute-rgt-neg-in
265×flip-- flip3--
234×prod-exp
216×flip-+ flip3-+
206×cbrt-undiv
203×unswap-sqr
190×log-pow
186×sqrt-div
174×distribute-lft-neg-in
159×cbrt-unprod
148×unpow2
139×sqrt-pow1
127×swap-sqr
120×fma-def sub-neg
116×distribute-rgt-in distribute-lft-in
115×diff-log
105×exp-sum
100×associate-*l/
96×associate-+r+
95×pow1/2
84×pow-unpow pow-prod-down
77×cbrt-div
76×associate-/l/
72×frac-2neg clear-num
66×pow1/3
65×associate-*r/
58×exp-prod unpow3 cube-mult neg-mul-1 frac-times
56×associate--l+
55×pow-prod-up
53×pow-exp
52×pow-to-exp *-commutative
51×1-exp
48×rec-exp
44×log-div
42×frac-add
35×rem-sqrt-square
34×tan-quot
32×sum-log
28×pow-flip
27×pow-sqr
26×pow-pow div-sub
25×fma-udef
24×complex-mul-def
22×+-commutative rem-log-exp
21×neg-sub0
18×frac-sub
15×associate--l-
14×inv-pow
13×sum-cubes
11×exp-diff neg-log associate--r+
10×pow-div pow2 pow-plus
difference-cubes associate-+r- hypot-def associate-+l-
sqrt-unprod
*.c-commutative
rem-cube-cbrt associate--r-
exp-neg +.c-commutative unsub-neg cos-mult complex-add-def
expm1-udef sin-mult
rem-exp-log associate-+l+.c expm1-def sub-div difference-of-sqr-1 expm1-log1p rem-square-sqrt associate-*l*.c cos-sum tan-sum distribute-rgt-out-- sin-sum
sin-cos-mult sqrt-pow2 log1p-udef diff-atan log1p-expm1 unpow-prod-up diff-cos sqrt-undiv frac-2neg.c exp-to-pow diff-sin

regimes3.1s (1.5%)

Accuracy

Total 31.2b remaining (13.6%)

Threshold costs 8.7b (3.8%)

4.5b84.3%quad2m (problem 3.2.1, negative)
4.4b84.7%quadm (p42, negative)
3.7b86.9%quad2p (problem 3.2.1, positive)
3.7b87.2%quadp (p42, positive)
3.3b0%expq3 (problem 3.4.2)

localize1.9s (0.9%)

bsearch1.1s (0.5%)

end1.0ms (0.0%)