Time: 13.4m
Passed: 29/31
Tests: 36
Bits: 956/1127

Date:Tuesday, January 8th, 2019
Commit:e215f5b157f6d8a7791aabf68743eb21857594b0 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019008
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)4.20.114.5s»
sintan (problem 3.4.5)31.00.01.1m»
quad2p (problem 3.2.1, positive)33.410.725.5s»
quad2m (problem 3.2.1, negative)33.29.426.9s»
exp with complex power real part (p55)0.00.012.3s»
exp with complex power imaginary part (p55)43.143.126.7s»
cos2 (problem 3.4.1)30.80.119.4s»
Euler formula real part (p55)0.00.09.6s»
Euler formula imaginary part (p55)43.01.033.7s»
3.9.2 real part (p56)61.9015.4s»
3.9.2 imaginary part (p56)0015.5s»
3.9.1 real part (p56)0024.9s»
3.9.1 imaginary part (p56)0024.9s»
2nthrt (problem 3.4.6)29.218.633.4s»
2log (problem 3.3.6)29.30.09.4s»
2frac (problem 3.3.1)14.60.412.1s»
2cos (problem 3.3.5)39.80.418.1s»
2cbrt (problem 3.3.4)29.715.616.3s»
tanhf (example 3.4)30.00.00.011.6s»
quadp (p42, positive)33.413.120.317.0s»
quadm (p42, negative)33.26.720.731.6s»
qlog (example 3.10)61.00.00.319.7s»
logs (example 3.8)63.00013.0s»
logq (problem 3.4.3)58.40.20.221.0s»
invcot (example 3.9)60.00.30.134.4s»
expq3 (problem 3.4.2)58.83.113.830.5s»
expq2 (section 3.11)39.70.439.27.4s»
expm1 (example 3.7)58.80.00.43.2s»
expax (section 3.5)29.10.00.23.3s»
exp2 (problem 3.3.7)29.00.70.018.5s»
3frac (problem 3.3.3)9.90.20.31.3m»
2tan (problem 3.3.2)37.215.315.646.4s»
2sqrt (example 3.1)29.729.60.217.5s»
2sin (example 3.3)37.30.715.517.9s»
2isqrt (example 3.6)19.70.60.617.2s»
2atan (example 3.5)15.10.40.47.6s»

Details

simplify5.5m

Calls

5255 calls. Slowest were:

5.3s
(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)))
4.9s
(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)))
1.3s
(/ (* (* (/ 1 (log1p x)) (/ 1 (log1p x))) (/ 1 (log1p x))) (* (* (/ 1 (log1p (- x))) (/ 1 (log1p (- x)))) (/ 1 (log1p (- x)))))
1.3s
(+ (* (+ (pow (* (/ 1 x) (/ 1 n)) 3) (pow 0 3)) (* n (* x n))) (* (+ (* (* (/ 1 x) (/ 1 n)) (* (/ 1 x) (/ 1 n))) (- (* 0 0) (* (* (/ 1 x) (/ 1 n)) 0))) (log x)))
797.0ms
(/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x)))))

sample5.0m

Algorithm
56×intervals
16×halfpoints

prune1.5m

series23.8s

Calls

456 calls. Slowest were:

962.0ms
(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)))
866.0ms
(fma (/ (+ (tan x) (tan eps)) (- (pow 1 3) (/ (pow (* (sin x) (tan eps)) 3) (pow (cos x) 3)))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))
496.0ms
(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
489.0ms
(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
467.0ms
(- x (sin x))

regimes4.6s

Accuracy

Total 20.9b remaining (12.2%)

5.1b81.8%quad2p (problem 3.2.1, positive)
3.9b85.9%quad2m (problem 3.2.1, negative)
3.1b0%expq3 (problem 3.4.2)
1.3b89.4%2nthrt (problem 3.4.6)
1.2b95%quadm (p42, negative)

bsearch3.2s

localize3.1s

rewrite2.2s

Algorithm
112×rewrite-expression-head
Calls

456 calls. Slowest were:

223.0ms
(+ (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ 2 x)) (/ 1 (- x 1)))
48.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
48.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
47.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
35.0ms
(+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n))))

end1.0ms