Date:Monday, March 2nd, 2020
Commit:957f66ec on more-ival-tests
Hostname:warfa with Racket 7.5
Seed:2020062
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

series11.7m (81.0%)

Calls

407 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.6s
(sqrt (* (* (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

sample1.4m (9.3%)

Algorithm
60×intervals
Results
15.4s240550×body80valid
14.8s28144×body1280valid
10.9s166976×body80nan
9.1s8968×body2560valid
6.7s18476×body640valid
5.2s3369×body5120valid
2.1s8546×body320valid
1.3s8546×body160valid
864.0ms2579×body1280nan
597.0ms2375×body640nan
343.0ms660×body10240exit
211.0ms1190×body320nan
116.0ms8256×pre80true
66.0ms600×body160nan

prune52.7s (6.1%)

simplify11.8s (1.4%)

Algorithm
170×egg-herbie

regimes9.6s (1.1%)

Accuracy

Total 40.7b remaining (22.1%)

Threshold costs 5.6b (3.1%)

7.9b9.2%Toniolo and Linder, Equation (13)
6.3b-9.3%Toniolo and Linder, Equation (10+)
6.1b73.9%Toniolo and Linder, Equation (7)
6.1b-4.8%Henrywood and Agarwal, Equation (12)
4.6b50.7%Henrywood and Agarwal, Equation (3)

rewrite5.1s (0.6%)

Algorithm
112×rewrite-expression-head
Calls

411 calls:

85.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)))
76.0ms
(* (/ (/ (* (cos th) (fma a1 a1 (* a2 a2))) (sqrt (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cbrt (cbrt (sqrt 2.0))))))
76.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
65.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
64.0ms
(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
Rules
22037×add-exp-log
14094×prod-exp
6570×pow-exp
6530×div-exp
4334×add-sqr-sqrt
3966×times-frac
3740×*-un-lft-identity
3119×add-cube-cbrt
2752×add-cbrt-cube
2633×pow-to-exp
1953×associate-*r/
1179×associate-*r*
1141×pow1
1126×cbrt-unprod
1091×sqrt-prod
1015×unpow-prod-down
944×cbrt-div
924×flip3-- flip--
829×1-exp
793×cbrt-prod
782×frac-times
729×associate-*l*
633×cbrt-undiv
628×prod-diff
624×frac-sub
613×sqrt-div
463×add-log-exp
411×log1p-expm1-u expm1-log1p-u
392×associate-/r*
368×pow-prod-down
365×rec-exp
359×associate-*l/
337×div-inv
335×unswap-sqr
305×sqr-pow
304×associate-/l*
216×pow-unpow
195×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in
192×distribute-lft-out--
178×difference-of-squares
172×distribute-lft-neg-in
150×distribute-lft-out
146×*-commutative
125×exp-sum associate-/r/
118×sqrt-pow1
113×exp-prod
102×flip-+ flip3-+
92×clear-num frac-2neg
76×tan-quot
69×cos-sum
64×pow1/2
59×sub-neg
58×pow1/3
56×fma-def
53×rem-sqrt-square
50×cube-prod
47×fma-neg
37×pow-pow
32×associate--l+
31×hypot-def
29×log-pow
26×associate-/l/
25×exp-diff
24×unpow2
23×fma-udef associate-+l+
21×pow-prod-up pow-flip
20×log-div
19×div-sub neg-mul-1
15×swap-sqr
14×+-commutative sum-log
11×diff-log pow-sqr associate--r+
pow-plus
unpow3 frac-add cube-mult neg-sub0 log-prod
inv-pow
rem-cube-cbrt pow-sub associate-+r+ asin-acos
pow2
pow-div pow-neg un-div-inv
rem-exp-log cos-diff hypot-udef associate--r-
cube-div unsub-neg distribute-frac-neg acos-asin neg-log rem-cbrt-cube distribute-neg-frac exp-to-pow rem-log-exp associate-+r-
sqrt-undiv associate--l- sqrt-unprod pow3 exp-neg rem-square-sqrt mul0

bsearch3.1s (0.4%)

localize2.1s (0.2%)

end1.0ms (0.0%)