| Date: | Wednesday, March 4th, 2020 |
|---|---|
| Commit: | 96d2f482 on refactor-and-minor |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020064 |
| 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 |
| 100× | intervals |
| 47.6s | 15984× | body | 10240 | exit |
| 18.6s | 452097× | body | 80 | valid |
| 14.2s | 30706× | body | 1280 | valid |
| 6.7s | 23639× | body | 640 | valid |
| 2.9s | 3056× | body | 1280 | nan |
| 2.5s | 69417× | body | 80 | nan |
| 2.2s | 12077× | body | 320 | valid |
| 1.8s | 2583× | body | 640 | nan |
| 1.2s | 10075× | body | 160 | valid |
| 654.0ms | 49536× | pre | 80 | true |
| 627.0ms | 1301× | body | 320 | nan |
| 348.0ms | 1539× | body | 2560 | valid |
| 205.0ms | 660× | body | 160 | nan |
| 133.0ms | 568× | body | 5120 | valid |
450 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)))) |
| 1.8s | (/ (* (* (- (* (+ (+ 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 | (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) |
| 898.0ms | (/ (fma (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (- (* 0.5 0.5))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)) |
| 770.0ms | (* (/ i (/ (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0) (fma beta alpha (* i (+ (+ alpha beta) i))))) (/ (/ (+ (+ alpha beta) i) (fma i 2.0 (+ alpha beta))) (fma i 2.0 (+ alpha beta)))) |
| 253× | egg-herbie |
| 153× | rewrite-expression-head |
450 calls:
| 474.0ms | (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2.0 1.0))) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0)))) |
| 172.0ms | (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) |
| 171.0ms | (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) |
| 155.0ms | (* (* (* (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)))) |
| 143.0ms | (* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* (sqrt 9.0) (* (sqrt 9.0) (- a (/ 1.0 3.0)))))))) |
| 7601× | times-frac |
| 7469× | *-un-lft-identity |
| 6952× | add-sqr-sqrt |
| 5237× | add-cube-cbrt |
| 3102× | add-exp-log |
| 2012× | add-cbrt-cube |
| 1655× | associate-*r* |
| 1639× | pow1 |
| 1429× | prod-diff |
| 1354× | sqrt-prod |
| 1239× | prod-exp |
| 1223× | associate-*l* |
| 1004× | distribute-lft-out |
| 755× | div-exp |
| 751× | cbrt-prod |
| 738× | unpow-prod-down |
| 727× | cbrt-unprod |
| 678× | add-log-exp |
| 582× | pow-prod-down |
| 501× | unswap-sqr |
| 477× | associate-/l* |
| 470× | associate-/r* |
| 450× | log1p-expm1-u expm1-log1p-u |
| 432× | frac-add |
| 428× | associate-/r/ |
| 411× | flip-+ flip3-+ |
| 396× | cbrt-undiv |
| 371× | div-inv |
| 354× | associate-*r/ |
| 344× | distribute-rgt-in distribute-lft-in |
| 254× | pow-exp |
| 245× | frac-times |
| 233× | log-pow |
| 211× | fma-neg |
| 208× | sqrt-pow1 |
| 207× | difference-of-squares |
| 192× | associate-*l/ |
| 187× | cube-prod |
| 174× | sqr-pow sqrt-div |
| 172× | 1-exp |
| 169× | distribute-lft-out-- |
| 145× | cbrt-div log-prod |
| 141× | *-commutative associate--l+ |
| 139× | flip3-- flip-- |
| 133× | exp-sum |
| 130× | fma-def pow-to-exp |
| 113× | rec-exp |
| 95× | pow1/3 |
| 88× | swap-sqr |
| 85× | frac-2neg clear-num |
| 82× | sub-neg |
| 79× | diff-log |
| 74× | associate-/l/ |
| 73× | exp-prod |
| 70× | pow1/2 |
| 69× | associate--r+ |
| 68× | pow-unpow |
| 57× | associate-+l- |
| 56× | fma-udef |
| 53× | exp-neg pow-sub |
| 51× | sum-log |
| 43× | pow-prod-up |
| 42× | exp-diff |
| 39× | distribute-rgt-neg-in distribute-lft-neg-in |
| 37× | neg-sub0 |
| 35× | pow-sqr |
| 33× | unpow3 cube-mult |
| 28× | frac-sub |
| 27× | rem-sqrt-square |
| 22× | pow-flip +-commutative |
| 20× | rem-log-exp |
| 19× | neg-mul-1 pow-pow |
| 18× | associate-+l+ un-div-inv |
| 16× | inv-pow |
| 15× | rem-exp-log |
| 14× | pow2 pow-plus hypot-def div-sub log-div |
| 13× | associate--l- |
| 12× | rem-cube-cbrt |
| 10× | unpow2 |
| 9× | cube-div |
| 8× | neg-log |
| 5× | hypot-udef |
| 4× | pow-div sin-sum |
| 3× | unpow-prod-up |
| 2× | distribute-neg-in associate-+r+ rem-cbrt-cube |
| 1× | sqrt-undiv sqrt-pow2 e-exp-1 distribute-lft-neg-out sqrt-unprod expm1-log1p rem-square-sqrt distribute-frac-neg log-rec cos-sum associate--r- expm1-udef |
Total 45.8b remaining (41.2%)
Threshold costs 5.3b (4.8%)
| 9.9b | 16.4% | _divideComplex, imaginary part |
| 7.4b | 36.9% | _divideComplex, real part |
| 5.5b | 15.6% | Octave 3.8, jcobi/2 |
| 4.4b | 24.6% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 4.1b | 30.3% | math.sqrt on complex, real part |