Time: 14.9m
Passed: 29/31
Tests: 36
Bits: 958/1128

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
sqrtexp (problem 3.4.4)4.40.114.4s»
sintan (problem 3.4.5)31.00.153.7s»
quad2p (problem 3.2.1, positive)34.110.320.3s»
quad2m (problem 3.2.1, negative)33.76.521.7s»
exp with complex power real part (p55)0.00.013.5s»
exp with complex power imaginary part (p55)43.443.427.3s»
cos2 (problem 3.4.1)30.80.416.0s»
Euler formula real part (p55)0.00.08.7s»
Euler formula imaginary part (p55)43.30.932.0s»
3.9.2 real part (p56)61.9014.9s»
3.9.2 imaginary part (p56)0015.6s»
3.9.1 real part (p56)0025.4s»
3.9.1 imaginary part (p56)0025.9s»
2nthrt (problem 3.4.6)29.119.048.7s»
2log (problem 3.3.6)29.30.010.8s»
2frac (problem 3.3.1)14.20.410.3s»
2cos (problem 3.3.5)40.00.717.2s»
2cbrt (problem 3.3.4)29.715.924.0s»
tanhf (example 3.4)30.00011.0s»
quadp (p42, positive)34.117.621.516.9s»
quadm (p42, negative)33.86.521.125.5s»
qlog (example 3.10)60.70.00.427.1s»
logs (example 3.8)63.00013.0s»
logq (problem 3.4.3)58.50.20.218.0s»
invcot (example 3.9)59.90.30.121.5s»
expq3 (problem 3.4.2)58.63.014.428.8s»
expq2 (section 3.11)39.80.439.47.3s»
expm1 (example 3.7)58.60.00.53.1s»
expax (section 3.5)28.90.00.210.8s»
exp2 (problem 3.3.7)29.50.60.017.2s»
3frac (problem 3.3.3)9.50.10.326.5s»
2tan (problem 3.3.2)37.013.015.13.5m»
2sqrt (example 3.1)29.829.70.215.1s»
2sin (example 3.3)37.10.415.118.3s»
2isqrt (example 3.6)19.60.40.618.0s»
2atan (example 3.5)14.60.40.46.4s»

Details

simplify6.9m

Calls

6559 calls. Slowest were:

5.2s
(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)))
1.0s
(pow (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) 3)
988.0ms
(pow (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) 3)
927.0ms
(+ (* (- b) (- b)) (- (* (sqrt (fma (* -4 a) c (* b b))) (sqrt (fma (* -4 a) c (* b b)))) (* (- b) (sqrt (fma (* -4 a) c (* b b))))))

sample5.0m

Algorithm
56×intervals
16×halfpoints

prune1.6m

series25.7s

Calls

475 calls. Slowest were:

507.0ms
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
455.0ms
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))))) (/ (sin x) (cos x)))
407.0ms
(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
391.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
381.0ms
(sqrt (+ x 1))

regimes3.9s

Accuracy

Total 20.4b remaining (12%)

4.8b83.3%quad2p (problem 3.2.1, positive)
4.5b78.7%quadp (p42, positive)
3.0b9.3%expq3 (problem 3.4.2)
1.5b87.1%2nthrt (problem 3.4.6)
1.0b95.9%quad2m (problem 3.2.1, negative)

bsearch3.6s

localize2.9s

rewrite2.7s

Algorithm
115×rewrite-expression-head
Calls

475 calls. Slowest were:

300.0ms
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))))))) (/ (sin x) (cos x)))
156.0ms
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (* (cbrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1)))))) (cbrt x))
49.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
46.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
44.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

end1.0ms