| Date: | Friday, February 28th, 2020 |
|---|---|
| Commit: | 6d7f8a61 on more-ival-tests |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020059 |
| Parameters: | 256 points for 4 iterations |
| 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 |
| 150× | rewrite-expression-head |
437 calls:
| 2.2m | (* (/ (/ 1 (/ (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) 1)) (sqrt (/ (fma i 2.0 (+ alpha beta)) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (fma i 2.0 (+ alpha beta)))))) (/ (/ i (/ (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) (+ (+ alpha beta) i))) (sqrt (/ (fma i 2.0 (+ alpha beta)) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (fma i 2.0 (+ alpha beta))))))) |
| 154.0ms | (* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- z 0))) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) |
| 149.0ms | (/ (/ i (/ (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) (+ (+ alpha beta) i))) (sqrt (/ (fma i 2.0 (+ alpha beta)) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (fma i 2.0 (+ alpha beta)))))) |
| 134.0ms | (* (+ (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3))) (/ (* 1.0 (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1))) (fabs x))) (* (/ 1.0 (sqrt PI)) (pow (exp (fabs x)) (/ (fabs x) 2)))) |
| 116.0ms | (/ (/ i (/ (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0) (+ (+ alpha beta) i))) (/ (fma i 2.0 (+ alpha beta)) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (fma i 2.0 (+ alpha beta))))) |
| 81967× | times-frac |
| 48960× | *-un-lft-identity |
| 40661× | add-sqr-sqrt |
| 30443× | add-cube-cbrt |
| 15875× | sqrt-prod |
| 8648× | distribute-lft-out |
| 6033× | associate-*r* |
| 3762× | difference-of-squares |
| 3426× | associate-*l* |
| 3184× | add-exp-log |
| 2634× | div-inv |
| 2167× | cbrt-prod |
| 2033× | associate-/r/ |
| 1839× | add-cbrt-cube |
| 1654× | distribute-lft-out-- |
| 1420× | prod-diff |
| 1228× | pow1 |
| 1171× | prod-exp |
| 964× | div-exp |
| 883× | flip-+ flip3-+ |
| 698× | unswap-sqr |
| 663× | unpow-prod-down |
| 635× | associate-/l* |
| 603× | add-log-exp |
| 527× | cbrt-unprod |
| 508× | associate-/r* |
| 470× | frac-add |
| 439× | expm1-log1p-u |
| 437× | log1p-expm1-u |
| 421× | cbrt-undiv |
| 335× | associate-*r/ |
| 282× | pow-prod-down |
| 263× | distribute-rgt-in distribute-lft-in |
| 262× | 1-exp |
| 259× | log-pow |
| 207× | frac-times |
| 202× | fma-neg |
| 185× | pow-exp |
| 174× | rec-exp |
| 155× | sqr-pow |
| 143× | exp-sum |
| 139× | associate--l+ |
| 133× | log-prod |
| 127× | *-commutative |
| 124× | sqrt-div |
| 123× | associate-*l/ |
| 119× | flip3-- flip-- |
| 105× | associate--r+ |
| 104× | fma-def |
| 97× | sqrt-pow1 |
| 91× | pow1/3 |
| 87× | pow-to-exp cube-prod |
| 82× | clear-num frac-2neg |
| 78× | sub-neg |
| 72× | associate-/l/ |
| 71× | diff-log |
| 69× | fma-udef |
| 64× | exp-prod |
| 63× | associate-+l- |
| 62× | pow1/2 |
| 61× | cbrt-div |
| 59× | pow-unpow pow-sub |
| 57× | exp-neg swap-sqr |
| 51× | rem-log-exp |
| 49× | exp-diff rem-sqrt-square |
| 39× | neg-sub0 |
| 37× | pow-flip |
| 34× | inv-pow |
| 24× | sum-log |
| 23× | un-div-inv log-div |
| 22× | distribute-rgt-neg-in distribute-lft-neg-in |
| 21× | unpow3 cube-mult |
| 19× | pow-pow |
| 18× | hypot-def div-sub |
| 17× | pow-prod-up pow-sqr |
| 15× | associate-+l+ |
| 13× | +-commutative associate--l- |
| 12× | neg-mul-1 |
| 11× | rem-cube-cbrt unpow2 |
| 10× | pow2 pow-plus |
| 8× | rem-exp-log |
| 7× | associate--r- |
| 5× | cube-div |
| 4× | sin-sum hypot-udef frac-sub |
| 3× | log-rec |
| 2× | log1p-udef sqrt-unprod log1p-expm1 distribute-neg-in unpow-prod-up expm1-log1p expm1-udef distribute-frac-neg rem-cbrt-cube distribute-rgt-neg-out |
| 1× | sqrt-pow2 cos-sum |
| 100× | intervals |
| 46.5s | 15580× | body | 10240 | exit |
| 19.5s | 459502× | body | 80 | valid |
| 14.5s | 30673× | body | 1280 | valid |
| 6.6s | 23385× | body | 640 | valid |
| 3.0s | 3119× | body | 1280 | nan |
| 2.5s | 69681× | body | 80 | nan |
| 2.2s | 11651× | body | 320 | valid |
| 1.7s | 2493× | body | 640 | nan |
| 1.2s | 10054× | body | 160 | valid |
| 670.0ms | 49536× | pre | 80 | true |
| 584.0ms | 1175× | body | 320 | nan |
| 374.0ms | 1544× | body | 2560 | valid |
| 208.0ms | 661× | body | 160 | nan |
| 165.0ms | 629× | body | 5120 | valid |
437 calls:
| 1.9s | (/ (* (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0) (fma i 2.0 (+ alpha beta))) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (fma i 2.0 (+ alpha beta)))) |
| 1.9s | (/ (* (* (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0) (fma i 2.0 (+ alpha beta))) (fma i 2.0 (+ alpha beta))) (fma beta alpha (* i (+ (+ alpha beta) i)))) |
| 1.3s | (fma (/ (* (sqrt (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (sqrt (log (* (pow (exp (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0) |
| 1.1s | (fma (/ (* (sqrt (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (sqrt (log (* (pow (exp (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0) |
| 1.1s | (exp (log (fma (/ (* (sqrt (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (sqrt (log (* (pow (exp (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0))) |
| 250× | egg-herbie |
Total 47.7b remaining (34.2%)
Threshold costs 6.2b (4.4%)
| 10.0b | 18.3% | _divideComplex, imaginary part |
| 8.7b | -4% | Octave 3.8, jcobi/2 |
| 7.1b | 36.5% | _divideComplex, real part |
| 5.0b | 13% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 4.0b | 27.3% | math.sqrt on complex, real part |