| 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 |
| Test | Start | Result | Target | ∞ ↔ ℝ | Time | |
|---|---|---|---|---|---|---|
| powComplex, real part | 31.0 | 0.1 | 2.3m | » | ||
| powComplex, imaginary part | 31.3 | 0.2 | 3.8m | » | ||
| normal distribution | 0.4 | 0.5 | 23.7s | » | ||
| math.square on complex, real part | 0.0 | 0.0 | 2.2s | » | ||
| math.square on complex, imaginary part | 0.0 | 0 | 1.1s | » | ||
| math.sqrt on complex, imaginary part, im greater than 0 branch | 37.8 | 13.2 | 11.0s | » | ||
| math.sin on complex, real part | 0.0 | 0.0 | 27.1s | » | ||
| math.log10 on complex, real part | 31.6 | 0.5 | 18.7s | » | ||
| math.log10 on complex, imaginary part | 1.2m | » | ||||
| math.log/2 on complex, real part | 31.1 | 0.4 | 45.5s | » | ||
| math.log/2 on complex, imaginary part | 1.7m | » | ||||
| math.log/1 on complex, real part | 31.3 | 0.0 | 1.6s | » | ||
| math.log/1 on complex, imaginary part | 21.0s | » | ||||
| math.exp on complex, real part | 0.0 | 0.0 | 7.7s | » | ||
| math.exp on complex, imaginary part | 0.0 | 0.0 | 12.5s | » | ||
| math.cos on complex, real part | 0.0 | 0.0 | 10.7s | » | ||
| math.arg on complex | 22.2s | » | ||||
| math.abs on complex | 30.1 | 0.0 | 3.9s | » | ||
| _multiplyComplex, real part | 0.0 | 0.0 | 2.8s | » | ||
| _multiplyComplex, imaginary part | 0.0 | 0.0 | 2.2s | » | ||
| _divideComplex, real part | 26.0 | 13.0 | 21.0s | » | ||
| _divideComplex, imaginary part | 26.0 | 14.5 | 30.6s | » | ||
| Octave 3.8, oct_fill_randg | 0.1 | 0.1 | 39.9s | » | ||
| Octave 3.8, jcobi/4, as called | 45.8 | 0.0 | 3.4s | » | ||
| Octave 3.8, jcobi/4 | 53.0 | 37.8 | 2.7m | » | ||
| Octave 3.8, jcobi/3 | 3.6 | 1.4 | 7.4m | » | ||
| Octave 3.8, jcobi/2 | 23.6 | 12.3 | 39.7s | » | ||
| Octave 3.8, jcobi/1 | 15.9 | 6.4 | 22.7s | » | ||
| Jmat.Real.lambertw, estimator | 0.3 | 0.0 | 5.6s | » | ||
| Jmat.Real.gamma, branch z less than 0.5 | 1.8 | 0.6 | 3.0m | » | ||
| Jmat.Real.gamma, branch z greater than 0.5 | 10.0m | » | ||||
| Jmat.Real.erfi, branch x less than or equal to 0.5 | 0.2 | 0.2 | 54.9s | » | ||
| Jmat.Real.erfi, branch x greater than or equal to 5 | 1.5 | 0.6 | 1.1m | » | ||
| Jmat.Real.erf | 13.7 | 12.6 | 3.3m | » | ||
| Jmat.Real.dawson | 29.3 | 0.2 | 31.6s | » | ||
| math.sqrt on complex, real part | 37.7 | 12.9 | 33.0 | 12.1s | » | |
| math.sin on complex, imaginary part | 58.1 | 0.7 | 0.2 | 42.5s | » | |
| math.cube on real | 0.1 | 0 | 0 | 1.5s | » | |
| math.cube on complex, real part | 7.0 | 0.2 | 0.2 | 32.6s | » | |
| math.cube on complex, imaginary part | 7.0 | 0.2 | 0.2 | 7.2s | » | |
| math.cos on complex, imaginary part | 43.4 | 0.7 | 0.3 | 34.2s | » | |
| Jmat.Real.lambertw, newton loop step | 13.8 | 0.3 | 13.2 | 20.1s | » | |
| FastMath test5 | 0.1 | 0 | 0 | 4.2s | » | |
| FastMath test3 | 0.1 | 0.0 | 0.1 | 13.1s | » | |
| FastMath test2 | 0.2 | 0.0 | 0.0 | 7.6s | » | |
| FastMath test1 | 0.3 | 0 | 0 | 899.0ms | » | |
| FastMath repmul | 0.1 | 0 | 0 | 1.8s | » | |
| FastMath dist4 | 0.0 | 0.0 | 0.0 | 18.9s | » | |
| FastMath dist3 | 0.0 | 0.0 | 0.0 | 5.5s | » | |
| FastMath dist | 0.0 | 0.0 | 0.0 | 2.6s | » |
10986 calls. Slowest were:
| 1.5s | (* (+ x.re x.im) (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))) |
| 1.4s | (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) 1) |
| 1.4s | (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) |
| 1.3s | (* (+ (* (* x.re x.re) (* x.re x.re)) (+ (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))) (- (* x.re x.im) (* x.im x.re))) |
| 1.3s | (* (* (- x.re x.im) (+ x.re x.im)) (- (* x.re x.im) (* x.im x.re))) |
| 91× | intervals |
589 calls. Slowest were:
| 1.3s | (expm1 (log1p (* (pow (* -2 (log u1)) 0.5) 1/6))) |
| 1.2s | (exp (log1p (* (pow (* -2 (log u1)) 0.5) 1/6))) |
| 1.1s | (log1p (* (pow (* -2 (log u1)) 0.5) 1/6)) |
| 1.1s | (log1p (* (pow (* -2 (log u1)) 0.5) 1/6)) |
| 1.0s | (+ (+ (/ (/ 0.284496736 (exp (* (fabs x) (fabs x)))) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) 1) (- (* (exp (* (- (fabs x)) (fabs x))) (- (/ 1.453152027 (pow (fma 0.3275911 (fabs x) 1) 4)) (/ (* (* (cbrt (/ 1.421413741 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1.421413741 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1.421413741 (fma 0.3275911 (fabs x) 1)))) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (* (exp (* (- (fabs x)) (fabs x))) (+ (/ 0.254829592 (fma 0.3275911 (fabs x) 1)) (/ 1.061405429 (pow (fma 0.3275911 (fabs x) 1) 5)))))) |
Total 29.6b remaining (22.8%)
| 10.6b | 25% | _divideComplex, real part |
| 9.0b | 16.7% | _divideComplex, imaginary part |
| 3.3b | 73.3% | Octave 3.8, jcobi/1 |
| 1.3b | 48.6% | Octave 3.8, jcobi/4 |
| 0.6b | 0% | math.cos on complex, imaginary part |
| 148× | rewrite-expression-head |
589 calls. Slowest were:
| 1.4s | (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) |
| 609.0ms | (* (/ (* (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 6 0.5) z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))) |
| 577.0ms | (+ (+ (/ (/ 0.284496736 (exp (* (fabs x) (fabs x)))) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) 1) (- (* (exp (* (- (fabs x)) (fabs x))) (- (/ 1.453152027 (pow (fma 0.3275911 (fabs x) 1) 4)) (/ (/ 1.421413741 (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (* (exp (* (- (fabs x)) (fabs x))) (+ (/ 0.254829592 (fma 0.3275911 (fabs x) 1)) (/ 1.061405429 (pow (fma 0.3275911 (fabs x) 1) 5)))))) |
| 535.0ms | (* (* (/ (pow (+ (+ 6 0.5) z) (+ (- z 1) 0.5)) (exp (+ 6 0.5))) (/ (sqrt (* PI 2)) (exp z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))) |
| 355.0ms | (* (* (/ (pow (+ z 6.5) (- z 0.5)) (exp 6.5)) (/ (sqrt (* PI 2)) (exp z))) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (/ -176.6150291621406 (+ z 3))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -1259.1392167224028 (+ 1 z)))) (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (- z -4))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ 7 z)))))) |