Time: 14.9m
Passed: 29/31
Tests: 36
Bits: 977/1128

Date:Friday, January 4th, 2019
Commit:6e112a484d90e98be51833808b7f61a69f6c0d2f on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019004
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
sqrtexp (problem 3.4.4)4.10.014.8s»
sintan (problem 3.4.5)31.10.059.6s»
quad2p (problem 3.2.1, positive)33.59.726.0s»
quad2m (problem 3.2.1, negative)33.19.534.6s»
exp with complex power real part (p55)0.00.016.9s»
exp with complex power imaginary part (p55)43.243.227.7s»
cos2 (problem 3.4.1)30.90.231.7s»
Euler formula real part (p55)0.00.018.5s»
Euler formula imaginary part (p55)43.10.731.0s»
3.9.2 real part (p56)61.9015.6s»
3.9.2 imaginary part (p56)0016.1s»
3.9.1 real part (p56)0024.6s»
3.9.1 imaginary part (p56)0025.6s»
2nthrt (problem 3.4.6)29.018.433.4s»
2log (problem 3.3.6)29.20.110.3s»
2frac (problem 3.3.1)14.60.412.8s»
2cos (problem 3.3.5)40.00.319.8s»
2cbrt (problem 3.3.4)29.60.648.6s»
tanhf (example 3.4)30.10.00.011.7s»
quadp (p42, positive)33.516.420.518.0s»
quadm (p42, negative)33.29.620.435.4s»
qlog (example 3.10)61.00.00.320.2s»
logs (example 3.8)63.00012.5s»
logq (problem 3.4.3)58.50.30.323.9s»
invcot (example 3.9)59.90.30.125.3s»
expq3 (problem 3.4.2)58.63.414.637.1s»
expq2 (section 3.11)39.80.439.49.3s»
expm1 (example 3.7)58.70.00.52.2s»
expax (section 3.5)29.70.00.211.0s»
exp2 (problem 3.3.7)29.30.60.01.1m»
3frac (problem 3.3.3)9.80.10.336.8s»
2tan (problem 3.3.2)37.515.915.149.6s»
2sqrt (example 3.1)29.60.20.213.8s»
2sin (example 3.3)37.60.515.021.0s»
2isqrt (example 3.6)19.719.90.728.0s»
2atan (example 3.5)15.10.40.47.5s»

Details

simplify6.6m

Calls

6747 calls. Slowest were:

4.9s
(re (+.c (+.c (+.c (+.c (+.c (+.c (*.c (*.c (*.c (*.c (*.c (complex -1 1) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (*.c (*.c (*.c (*.c (*.c (complex 6 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (complex 20 0) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1))) (*.c (complex 6 0) (complex -1 1))) (complex 1 0)))
4.7s
(im (+.c (+.c (+.c (+.c (+.c (+.c (*.c (*.c (*.c (*.c (*.c (complex -1 1) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (*.c (*.c (*.c (*.c (*.c (complex 6 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (complex 20 0) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1))) (*.c (complex 6 0) (complex -1 1))) (complex 1 0)))
1.6s
(/ (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))))
1.4s
(/ (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))))
1.1s
(- (* (* (- (* (exp x) (exp x)) (* 2 2)) (- (* (exp x) (exp x)) (* 2 2))) (exp x)) (* (* (+ (exp x) 2) (+ (exp x) 2)) (* 1 (exp (- x)))))

sample5.1m

Algorithm
56×intervals
16×halfpoints

prune1.7m

series29.9s

Calls

482 calls. Slowest were:

972.0ms
(fma (/ (+ (tan x) (tan eps)) (- (pow 1 3) (* (pow (tan x) 3) (* (* (tan eps) (tan eps)) (tan eps))))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))
947.0ms
(fma (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))
587.0ms
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
502.0ms
(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
444.0ms
(- x (sin x))

regimes4.1s

Accuracy

Median 0% (26.2b remaining)

4.3b84.7%quad2p (problem 3.2.1, positive)
4.1b85.3%quadm (p42, negative)
4.1b85.3%quad2m (problem 3.2.1, negative)
3.9b81.3%quadp (p42, positive)
3.3b0%expq3 (problem 3.4.2)

localize3.0s

rewrite2.7s

Algorithm
115×rewrite-expression-head
Calls

482 calls. Slowest were:

334.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
61.0ms
(* (sin (* eps 1/2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))
55.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (* (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))) (cbrt (/ 1 (- x 1)))))
47.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
41.0ms
(* (sin (* eps 1/2)) (+ (* (sin (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (sin x))))

bsearch2.4s

end1.0ms