Date:Friday, February 28th, 2020
Commit:6d7f8a61 on more-ival-tests
Hostname:warfa with Racket 7.5
Seed:2020059
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

prune1.8m (33.5%)

series1.6m (29.7%)

Calls

438 calls:

4.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(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*))))))
1.5s
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

sample1.4m (25.1%)

Algorithm
61×intervals
Results
15.8s31275×body1280valid
15.5s248442×body80valid
10.6s165157×body80nan
9.1s9060×body2560valid
7.2s20770×body640valid
5.0s3391×body5120valid
2.3s9983×body320valid
1.4s9166×body160valid
891.0ms2694×body1280nan
585.0ms2385×body640nan
354.0ms1180×body320nan
316.0ms601×body10240exit
110.0ms8256×pre80true
67.0ms627×body160nan

simplify14.5s (4.4%)

Algorithm
174×egg-herbie

regimes10.3s (3.1%)

Accuracy

Total 44.3b remaining (21.6%)

Threshold costs 5.0b (2.4%)

9.4b25.8%Toniolo and Linder, Equation (13)
6.5b49.7%Henrywood and Agarwal, Equation (3)
6.2b73.9%Toniolo and Linder, Equation (7)
5.9b5.9%Henrywood and Agarwal, Equation (12)
4.4b43.7%Toniolo and Linder, Equation (10+)

rewrite8.8s (2.7%)

Algorithm
114×rewrite-expression-head
Calls

438 calls:

1.3s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))
141.0ms
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
108.0ms
(* (sin ky) (/ (/ (sin th) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
67.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) h) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
66.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) h) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (/ 1 l))))
Rules
36886×add-exp-log
33455×times-frac
23533×prod-exp
16207×*-un-lft-identity
15982×add-sqr-sqrt
14523×add-cube-cbrt
14047×div-exp
13505×pow-exp
9195×unpow-prod-down
6807×pow-to-exp
4829×associate-*r*
4393×cbrt-prod
3049×sqrt-prod
2737×add-cbrt-cube
1750×associate-*r/
1723×sqr-pow
1722×1-exp
1295×pow1
1254×rec-exp
1206×associate-*l*
1123×cbrt-unprod
831×associate-/l*
735×unpow2
670×distribute-lft-out
613×associate-/r/
576×div-inv
555×add-log-exp
544×frac-add
530×flip-- flip3--
501×cbrt-undiv
491×frac-times
459×unswap-sqr
445×pow-prod-down
386×sqrt-div
358×associate-*l/
325×associate-/r*
281×flip-+ flip3-+
272×pow-unpow
261×distribute-lft-out--
185×distribute-rgt-neg-in
179×difference-of-squares
156×*-commutative
151×distribute-lft-neg-in
95×frac-2neg clear-num
92×sqrt-pow1
91×distribute-rgt-in distribute-lft-in
78×cube-prod
75×cbrt-div
74×pow-pow
73×sub-neg
66×pow1/2
62×pow1/3
59×rem-sqrt-square
58×tan-quot
48×sum-log frac-sub
46×swap-sqr
44×associate-/l/
38×associate--l+
37×exp-prod
33×+-commutative
21×div-sub pow-prod-up
19×neg-mul-1
18×associate-+r+ pow-sqr
17×neg-sub0
16×cube-div difference-cubes log-pow
14×diff-log
12×pow-neg pow-sub
11×unpow3
rem-cube-cbrt cube-mult
un-div-inv pow-flip distribute-neg-frac
pow-plus associate-+r-
cos-sum
pow2
exp-diff associate-+l+ sum-cubes unsub-neg distribute-frac-neg exp-sum
inv-pow cos-diff log-prod
asin-acos
sqrt-undiv sqrt-unprod rem-square-sqrt acos-asin neg-log mul0 rem-cbrt-cube exp-to-pow rem-log-exp

bsearch2.5s (0.8%)

localize2.3s (0.7%)

end1.0ms (0.0%)