Date:Tuesday, May 26th, 2020
Commit:bdc69189 on cleanup
Hostname:warfa with Racket 7.5
Seed:2020147
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

sample1.7m (32.7%)

Algorithm
61×intervals
Results
18.6s248496×body80valid
18.1s31168×body1280valid
12.9s166597×body80nan
9.3s8847×body2560valid
8.3s21221×body640valid
5.9s3408×body5120valid
2.8s10436×body320valid
1.6s9240×body160valid
768.0ms1637×body1280nan
531.0ms1547×body640nan
356.0ms584×body5120exit
337.0ms2733×body80overflowed
193.0ms810×body320nan
128.0ms8256×pre80true
58.0ms403×body160nan

series1.7m (32.3%)

Calls

439 calls:

7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.0s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
7.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
1.8s
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune1.1m (20.9%)

Filtered
24683 candidates to 9474 candidates (38.4%)

regimes20.6s (6.6%)

Accuracy

Total 47.1b remaining (22.3%)

Threshold costs 5.0b (2.4%)

12.5b2.5%Toniolo and Linder, Equation (13)
7.2b50%Henrywood and Agarwal, Equation (3)
7.0b2%Toniolo and Linder, Equation (10+)
5.9b75.6%Toniolo and Linder, Equation (7)
4.8b31.8%Henrywood and Agarwal, Equation (12)

simplify12.9s (4.1%)

Algorithm
176×egg-herbie

rewrite6.5s (2.1%)

Algorithm
116×rewrite-expression-head
Calls

439 calls:

102.0ms
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
75.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) h) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
73.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) h) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
56.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
53.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
Rules
54160×add-exp-log
39973×prod-exp
27183×pow-exp
19542×div-exp
12705×pow-to-exp
4670×1-exp
4419×times-frac
4361×add-sqr-sqrt
4046×rec-exp
3761×*-un-lft-identity
3313×add-cube-cbrt
2763×add-cbrt-cube
2023×sqrt-prod
1249×cbrt-unprod
1205×associate-*l*
1165×pow1
1015×unpow-prod-down
816×associate-*r*
518×add-log-exp
502×cbrt-undiv
456×associate-*r/
419×cbrt-prod
401×associate-/r*
382×pow-prod-down
362×associate-*l/
341×frac-times
313×sqr-pow
311×associate-/l*
309×unswap-sqr
262×sqrt-div
250×div-inv
235×pow-unpow
205×difference-of-squares
177×distribute-lft-out--
176×flip3-- flip--
153×*-commutative
151×flip-+ flip3-+
138×exp-prod
111×tan-quot
101×associate-/r/
97×sqrt-pow1
94×distribute-rgt-in distribute-lft-in
93×cbrt-div
91×clear-num frac-2neg
87×sub-neg
83×distribute-lft-neg-in distribute-rgt-neg-in
76×distribute-lft-out
63×unpow2
62×cube-prod
58×pow1/2 rem-sqrt-square pow1/3
42×associate-/l/ pow-pow
39×frac-sub
34×associate--l+ log-prod
32×div-sub
26×log-pow
25×exp-diff
24×sum-log
22×+-commutative
21×frac-add
17×neg-sub0
16×cos-sum pow-sub
15×exp-sum
14×distribute-frac-neg log-div
13×diff-log exp-neg
11×unpow3 cube-mult neg-mul-1
associate-+r+ cos-diff
swap-sqr
un-div-inv rem-exp-log rem-log-exp
rem-cube-cbrt pow-neg pow-prod-up pow-sqr acos-asin asin-acos
inv-pow pow-flip unpow-prod-up
pow-plus pow2 distribute-neg-frac exp-to-pow
cube-div sqrt-undiv associate-+l+ e-exp-1 unpow1/3 sum-cubes sub-div mul0 rem-cbrt-cube

localize2.2s (0.7%)

bsearch1.5s (0.5%)

end1.0ms (0.0%)

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