Time: 16.2m
Passed: 30/31
Tests: 36
Bits: 999/1129

Date:Saturday, January 5th, 2019
Commit:cbbf2e4d26d0dd0d3b2bd20efd80f14af4cf0cf1 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019005
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)4.20.22.7m»
sintan (problem 3.4.5)31.10.11.6m»
quad2p (problem 3.2.1, positive)33.110.721.4s»
quad2m (problem 3.2.1, negative)33.67.022.9s»
exp with complex power real part (p55)0.00.012.6s»
exp with complex power imaginary part (p55)43.743.725.8s»
cos2 (problem 3.4.1)30.90.119.4s»
Euler formula real part (p55)0.00.010.8s»
Euler formula imaginary part (p55)43.70.829.7s»
3.9.2 real part (p56)61.9015.3s»
3.9.2 imaginary part (p56)0015.7s»
3.9.1 real part (p56)0026.4s»
3.9.1 imaginary part (p56)0025.4s»
2nthrt (problem 3.4.6)29.419.31.1m»
2log (problem 3.3.6)29.60.110.3s»
2frac (problem 3.3.1)14.80.412.7s»
2cos (problem 3.3.5)39.10.818.6s»
2cbrt (problem 3.3.4)30.00.647.8s»
tanhf (example 3.4)30.10.00.011.6s»
quadp (p42, positive)33.117.520.717.3s»
quadm (p42, negative)33.67.120.623.7s»
qlog (example 3.10)60.90.00.326.1s»
logs (example 3.8)63.00012.9s»
logq (problem 3.4.3)58.50.20.220.8s»
invcot (example 3.9)59.90.30.135.3s»
expq3 (problem 3.4.2)58.73.614.333.0s»
expq2 (section 3.11)39.90.539.49.6s»
expm1 (example 3.7)58.70.00.53.6s»
expax (section 3.5)29.40.00.27.6s»
exp2 (problem 3.3.7)29.30.00.019.6s»
3frac (problem 3.3.3)10.00.10.326.9s»
2tan (problem 3.3.2)36.515.115.239.3s»
2sqrt (example 3.1)30.10.20.211.1s»
2sin (example 3.3)36.50.615.115.4s»
2isqrt (example 3.6)19.90.30.616.9s»
2atan (example 3.5)15.30.40.45.9s»

Details

simplify7.8m

Calls

7475 calls. Slowest were:

5.3s
(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)))
4.6s
(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)))
892.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))) (* 2 (/ 1 (pow x 3))))
876.0ms
(sqrt (/ (/ (+ (pow (exp x) 3) (pow 1 3)) (sqrt (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (- (* 1 1) (* (exp x) 1)) (- (* 1 1) (* (exp x) 1)))))) (* (cbrt (sqrt (fma (exp x) (expm1 x) 1))) (cbrt (sqrt (fma (exp x) (expm1 x) 1))))))
816.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))) (* 2 (/ 1 (pow x 3))))

sample5.1m

Algorithm
56×intervals
16×halfpoints

prune1.8m

series31.4s

Calls

474 calls. Slowest were:

750.0ms
(cbrt (fma 1/360 (pow x 6) (* x x)))
740.0ms
(cbrt (fma 1/360 (pow x 6) (* x x)))
720.0ms
(fma (+ (tan x) (tan eps)) (* (/ 1 (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (fma (* (tan eps) (tan x)) (fma (tan x) (tan eps) 1) 1)) (- (tan x)))
666.0ms
(* (cbrt (fma 1/360 (pow x 6) (* x x))) (cbrt (fma 1/360 (pow x 6) (* x x))))
658.0ms
(cbrt (fma 1/360 (pow x 6) (* x x)))

regimes4.7s

Accuracy

Median 0% (20.5b remaining)

4.7b82.7%quad2p (problem 3.2.1, positive)
4.5b78%quadp (p42, positive)
3.6b-9.3%expq3 (problem 3.4.2)
1.6b86.6%2nthrt (problem 3.4.6)
1.1b95.2%quadm (p42, negative)

bsearch4.0s

localize3.1s

rewrite2.5s

Algorithm
117×rewrite-expression-head
Calls

474 calls. Slowest were:

67.0ms
(cbrt (* (* (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))))
64.0ms
(/ (- (sqrt (- (pow b_2 2) (* a c))) b_2) a)
62.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
55.0ms
(* (/ 1 a) (- (sqrt (- (pow b_2 2) (* a c))) b_2))
49.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

end2.0ms