Date:Tuesday, February 25th, 2020
Commit:4d1e59da on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020056
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

prune58.5s (38.5%)

Filtered
22265 candidates to 12542 candidates (56.3%)

series33.2s (21.9%)

Calls

300 calls:

2.1s
(/ (* 100.0 (/ (fma (- 1.0) 1.0 (pow (+ 1.0 (/ i n)) (* 2 n))) (+ (pow (+ 1.0 (/ i n)) n) 1.0))) (/ i n))
2.1s
(/ (* 100.0 (/ (log (exp (fma (- 1.0) 1.0 (pow (+ 1.0 (/ i n)) (* 2 n))))) (+ (pow (+ 1.0 (/ i n)) n) 1.0))) (/ i n))
1.2s
(+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))
489.0ms
(log (+ (pow 1.0 3) (pow x 3)))
484.0ms
(fma (- 1.0) 1.0 (pow (+ 1.0 (/ i n)) (* 2 n)))

sample31.6s (20.8%)

Algorithm
73×intervals
Results
9.5s294394×body80valid
4.8s13832×body1280valid
2.4s3854×body2560valid
1.8s9384×body640valid
1.7s16832×body160valid
1.4s100633×pre80true
1.0s2161×body10240exit
755.0ms6797×body320valid
545.0ms19275×body80nan
92.0ms221×body5120valid
3.0ms100×pre80false

simplify13.1s (8.6%)

Algorithm
176×egg-herbie

rewrite9.7s (6.4%)

Algorithm
106×rewrite-expression-head
Calls

300 calls:

316.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
286.0ms
(+ (+ (+ (+ e d) c) b) a)
285.0ms
(- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)
274.0ms
(- (/ x (/ (fma x x (* y y)) (+ x y))) (/ y (/ (fma x x (* y y)) (+ x y))))
233.0ms
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)))
Rules
26304×times-frac
20804×*-un-lft-identity
16919×add-sqr-sqrt
15404×add-cube-cbrt
10146×prod-diff
2545×add-exp-log
2323×distribute-lft-out
2116×add-cbrt-cube
2092×cbrt-prod
1721×unpow-prod-down
1410×div-inv
1224×associate-/r/
1018×cube-prod
986×sqrt-prod
953×prod-exp
781×div-exp
764×cbrt-unprod
745×distribute-rgt-in distribute-lft-in
744×associate-*r*
734×pow1
621×cbrt-undiv
609×flip-+ flip3-+
605×add-log-exp
549×difference-of-squares
462×associate-/l*
420×associate-*l*
415×associate-/r*
387×distribute-lft-out--
386×sqr-pow
300×log1p-expm1-u expm1-log1p-u
280×fma-neg
198×distribute-rgt-neg-in
145×flip3-- flip--
133×swap-sqr unswap-sqr
129×distribute-lft-neg-in
126×pow-prod-down
125×sum-log
122×fma-def
109×associate-*r/
102×frac-times
101×1-exp
97×log-pow
96×unpow3 cube-mult
90×cbrt-div
81×associate-/l/ associate-*l/
73×clear-num frac-2neg
71×sub-neg
63×*-commutative
59×rec-exp
57×diff-log
54×exp-prod
53×pow-prod-up
47×log-prod
43×neg-mul-1
39×pow-sqr
35×sqrt-div fma-udef
33×pow-plus
32×unpow2
28×pow2 pow-to-exp pow1/3 pow-exp
27×+-commutative
24×div-sub
20×pow-unpow
17×rem-sqrt-square frac-sub
16×log-div
15×associate--r+
14×pow1/2 sqrt-pow1
12×frac-add neg-sub0 pow-pow
10×associate-+l+ associate-+r+ pow-flip associate--l+
9×neg-log
8×inv-pow rem-log-exp
7×associate--l- hypot-udef
6×cube-div distribute-lft-neg-out rem-cbrt-cube associate-+l-
5×distribute-frac-neg
4×un-div-inv
3×distribute-rgt-out--
2×sqrt-pow2 associate--r- sum-cubes
1×associate-+r- sub-div unsub-neg expm1-log1p exp-sum expm1-udef

regimes3.3s (2.2%)

Accuracy

Total 43.8b remaining (14.3%)

Threshold costs 3.1b (1%)

12.9b46.7%Compound Interest
9.0b31.9%Complex division, imag part
7.4b33.4%Complex division, real part
4.7b83.6%The quadratic formula (r2)
4.1b85.4%The quadratic formula (r1)

localize1.3s (0.9%)

bsearch1.2s (0.8%)

end1.0ms (0.0%)