Date:Tuesday, June 9th, 2020
Commit:c3d6c186 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020161
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample2.5min (55.5%)

Algorithm
100×intervals
Results
56.4s11870×body5120exit
28.6s460006×body80valid
17.5s31117×body1280valid
8.2s23267×body640valid
5.0s3027×body1280nan
3.1s2516×body640nan
2.8s11861×body320valid
2.1s32062×body80nan
1.9s9967×body160valid
1.3s1319×body320nan
915.0ms49536×pre80true
461.0ms1420×body2560valid
348.0ms632×body160nan
197.0ms589×body5120valid
147.0ms4054×body80overflowed

prune1.2min (25.5%)

Filtered
18636 candidates to 11636 candidates (37.6%)

simplify16.5s (6.0%)

Algorithm
262×egg-herbie

regimes12.7s (4.6%)

Accuracy

Total 97.2b remaining (34.6%)

Threshold costs 4.3b (1.5%)

18.3b48.9%math.sqrt on complex, imaginary part, im greater than 0 branch
11.1b55.6%math.log/2 on complex, real part
10.7b56.1%math.log10 on complex, real part
10.5b56.8%math.log/1 on complex, real part
10.1b57%math.abs on complex

series11.2s (4.1%)

Calls

488 calls:

374.0ms
(* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))))
317.0ms
(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i)))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0))
189.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (pow (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) 3))) (exp (neg (* (fabs x) (fabs x))))))
189.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (neg (* (fabs x) (fabs x))))))
189.0ms
(exp (log (cbrt (pow (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (pow (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) 3))) (exp (neg (* (fabs x) (fabs x)))))) 3))))

rewrite7.8s (2.9%)

Algorithm
162×rewrite-expression-head
Calls

488 calls:

754.0ms
(* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))))
487.0ms
(* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))))
163.0ms
(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (/ 1 (* (* (exp (- z 1.0)) (exp 7.0)) (exp 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))
160.0ms
(/ (* (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))) (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z))) (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (- 1.0 0.5)) (exp (+ (+ (- z 1.0) 7.0) 0.5))))
159.0ms
(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (neg (+ (+ (- z 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))
Rules
11034×times-frac
9097×*-un-lft-identity
7691×add-sqr-sqrt
5841×add-cube-cbrt
3548×add-exp-log
2691×add-cbrt-cube
2535×associate-*r*
2279×sqrt-prod
2003×pow1
1559×prod-exp
1401×distribute-lft-out
1293×cbrt-prod
1122×associate-*l*
1080×cbrt-unprod
928×frac-add
796×div-exp
749×add-log-exp
656×flip-+ flip3-+
596×associate-*r/
577×associate-/r/
568×associate-/l*
565×pow-prod-down
559×cbrt-undiv
518×frac-times
414×unswap-sqr
388×associate-/r*
386×div-inv
345×cbrt-div
339×distribute-lft-out--
303×flip-- flip3--
297×associate-*l/
291×sqrt-div
271×difference-of-squares
267×log-prod
238×unpow-prod-down
236×log-pow
218×swap-sqr
162×*-commutative
160×pow-prod-up
129×sqrt-pow1
121×associate-/l/
116×pow-exp
109×pow1/2
107×pow-plus
104×sqr-pow
101×associate-+l-
100×pow-to-exp
92×pow-sub
91×pow1/3
90×distribute-rgt-in sub-neg distribute-lft-in
88×pow-sqr
83×clear-num frac-2neg
80×exp-sum
79×cube-prod exp-prod
78×diff-log
74×exp-diff
68×sum-log
62×rem-sqrt-square
61×1-exp
60×rec-exp
58×pow2
55×pow-unpow
54×distribute-lft-neg-in distribute-rgt-neg-in
53×exp-neg
42×un-div-inv
40×associate-+l+ associate--l+
39×neg-sub0
37×+-commutative
32×log-div
24×cube-div rem-log-exp distribute-rgt-out cube-mult unpow3
23×associate-+r+
22×pow-flip
18×inv-pow pow-pow rem-exp-log
17×div-sub
16×neg-mul-1
14×unpow2
13×associate--l-
12×distribute-lft1-in
sqrt-unprod neg-log rem-cube-cbrt
sin-sum associate--r+
unpow-prod-up pow3 rem-cbrt-cube
frac-sub
cos-sum distribute-neg-in distribute-frac-neg
associate-+r- rem-square-sqrt log-rec

localize2.6s (1.0%)

bsearch1.0s (0.4%)

end1.0ms (0.0%)

Profiling

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