Time: 19.5m
Passed: 22/28
Tests: 35
Bits: 451/570

Date:Monday, January 7th, 2019
Commit:64b9d691e0b4408064e53bc5077c08c0d6273703 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019007
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
TestStartResult ?Target ?∞ ↔ ℝTime
arccos0.00.029.1s»
Rosa's TurbineBenchmark12.40.439.5s»
Rosa's FloatVsDoubleBenchmark0.50.53.5m»
Rosa's DopplerBench18.21.324.4s»
Rosa's Benchmark0.10.15.0s»
Radioactive exchange between two surfaces0.00.04.4s»
NMSE Section 6.1 mentioned, B14.50.241.4s»
NMSE Section 6.1 mentioned, A29.71.12.0m»
Kahan's Unum-Targeted Monster3.8m»
Kahan's Monster2.0m»
Kahan p13 Example 30.00.021.4s»
Kahan p13 Example 20.00.031.2s»
Kahan p13 Example 10.00.037.1s»
From Warwick Tucker's Validated Numerics58.163.640.1s»
x / (x^2 + 1)15.40.10.114.1s»
simple fma test45.2004.4s»
ln(1 + x)38.70.00.23.6s»
fma_test249.2001.2s»
fma_test161.80.350.65.1s»
The quadratic formula (r2)33.86.521.125.2s»
The quadratic formula (r1)34.210.321.518.8s»
Rectangular parallelepiped of dimension a×b×c0001.7s»
Kahan's exp quotient39.60.038.76.9s»
Kahan p9 Example20.00.00.023.9s»
Expression, p63.703.82.9s»
Expression, p140.00.00.016.3s»
Expression 4, p150.00.00.07.5s»
Expression 3, p150.00.00.03.8s»
Expression 2, p150.000.01.1s»
Expression 1, p150.40.20.215.6s»
Difference of squares0.00.00.02.4s»
Compound Interest42.28.541.625.8s»
Complex division, real part26.513.00.517.3s»
Complex division, imag part26.113.00.420.8s»
Area of a triangle5.8s»

Details

simplify9.4m

Calls

5833 calls. Slowest were:

3.5s
(fma (/ (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2)) (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2))) (+ (* 2/3 (pow x 3)) 2) (- (* (sqrt (pow x 2)) (sqrt (pow x 2)))))
2.8s
(fma (/ (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2)) (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2))) (+ (* 2/3 (pow x 3)) 2) (- (* x x)))
1.9s
(fma (/ (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2)) (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2))) (+ (* 2/3 (pow x 3)) 2) (- (* (pow x 2) 1)))
1.6s
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
1.5s
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))

prune1.8m

sample1.6m

Algorithm
64×intervals

series17.5s

Calls

400 calls. Slowest were:

326.0ms
(cbrt a)
246.0ms
(cbrt (- (log (- 1 x)) (log1p x)))
242.0ms
(* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x)))))
237.0ms
(expm1 (log1p (/ (expm1 x) x)))
228.0ms
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

regimes4.2s

Accuracy

Total 34.6b remaining (29%)

10.4b29.5%Complex division, real part
8.4b61.4%Compound Interest
6.7b36.5%Complex division, imag part
4.8b83.3%The quadratic formula (r1)
1.3b0%Rosa's DopplerBench

rewrite2.9s

Algorithm
103×rewrite-expression-head
Calls

400 calls. Slowest were:

127.0ms
(+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096)))
120.0ms
(+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))
113.0ms
(- (/ (- (* (* 2/3 (pow x 3)) (* 2/3 (pow x 3))) (* 2 2)) (- (* 2/3 (pow x 3)) 2)) (pow x 2))
94.0ms
(+ (/ (exp (log (- (* (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2)))) (* (* 5.5 (pow 33096 8)) (* 5.5 (pow 33096 8)))))) (- (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8)))) (/ 77617 (* 2 33096)))
89.0ms
(+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8)))

localize2.5s

bsearch2.3s

end1.0ms