Date:Thursday, April 9th, 2020
Commit:e7bf75bc on gh-actions
Hostname:warfa with Racket 7.5
Seed:2020100
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

series1.6m (37.7%)

Calls

450 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.4m (31.5%)

Algorithm
61×intervals
Results
15.5s30686×body1280valid
15.3s248661×body80valid
10.6s167283×body80nan
8.6s8899×body2560valid
7.1s21165×body640valid
5.1s3428×body5120valid
2.4s10233×body320valid
1.3s9104×body160valid
829.0ms2591×body1280nan
572.0ms2319×body640nan
395.0ms819×body10240exit
197.0ms1144×body320nan
127.0ms8256×pre80true
74.0ms644×body160nan

prune45.0s (17.2%)

Filtered
20614 candidates to 9647 candidates (46.8%)

simplify12.4s (4.8%)

Algorithm
178×egg-herbie

regimes10.6s (4.0%)

Accuracy

Total 54.4b remaining (25.3%)

Threshold costs 5.6b (2.6%)

8.4b42.5%Henrywood and Agarwal, Equation (3)
7.4b16.5%Toniolo and Linder, Equation (13)
6.9b0.7%Given's Rotation SVD example
6.7b11.9%Toniolo and Linder, Equation (10+)
5.6b3.3%Henrywood and Agarwal, Equation (12)

rewrite6.1s (2.3%)

Algorithm
118×rewrite-expression-head
Calls

450 calls:

193.0ms
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
118.0ms
(* (cos th) (/ (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
81.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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))))
77.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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))))
55.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
Rules
31691×add-exp-log
22548×prod-exp
11501×pow-exp
8736×div-exp
5452×*-un-lft-identity
5445×times-frac
5177×pow-to-exp
4903×add-sqr-sqrt
3854×sqrt-prod
3742×add-cube-cbrt
2518×add-cbrt-cube
1450×associate-*r*
1351×rec-exp 1-exp
1263×unpow-prod-down
1157×pow1
1124×associate-*l*
1017×cbrt-unprod
692×distribute-lft-out
636×associate-*r/
584×add-log-exp
441×cbrt-prod
406×cbrt-undiv
398×associate-/l*
359×unswap-sqr
356×pow-prod-down
294×sqrt-div
277×pow-unpow
264×associate-/r*
260×sqr-pow
259×distribute-lft-out--
251×div-inv
250×associate-*l/
244×frac-times
230×flip3-- flip--
206×distribute-rgt-neg-in
196×difference-of-squares
177×flip-+ flip3-+
176×associate-/r/
161×*-commutative
151×distribute-lft-neg-in
113×exp-prod
88×clear-num frac-2neg
87×sqrt-pow1
81×distribute-rgt-in distribute-lft-in
76×frac-sub
70×tan-quot
67×div-sub sub-neg
66×cube-prod
63×unpow2
62×distribute-frac-neg
60×pow1/2
58×exp-neg
57×rem-sqrt-square
56×neg-sub0
53×pow1/3
49×associate-/l/ pow-pow
48×cbrt-div exp-diff
47×sum-log log-prod
33×+-commutative
28×un-div-inv
24×diff-log
22×frac-add
19×log-pow neg-mul-1
18×exp-sum associate--l+
16×sub-div
14×swap-sqr
12×associate-+r+
10×pow-sub
pow-flip
pow-neg unpow3 cube-mult distribute-neg-frac associate--r+ rem-log-exp
rem-cube-cbrt inv-pow
cos-sum
associate-+l+ rem-exp-log unsub-neg associate-+r-
pow-prod-up neg-log pow-sqr
cos-diff acos-asin asin-acos associate--r- rem-cbrt-cube
cube-div pow-plus pow2 associate--l- log-div
sqrt-pow2 remove-double-div distribute-rgt-out-- mul0

bsearch4.2s (1.6%)

localize2.2s (0.8%)

end1.0ms (0.0%)