| Date: | Wednesday, September 9th, 2020 |
|---|---|
| Commit: | 9a6f76b9 on multiprecision |
| Hostname: | warfa with Racket 7.8 |
| Seed: | 2020253 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
442 calls:
| 4.1s | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (/.f64 l Om)) 3)) (-.f64 U* U))))))) |
| 3.6s | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 (*.f64 n (/.f64 l Om)) (-.f64 U* U))))))) |
| 3.5s | (sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U* U)))))))) |
| 3.4s | (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U* U)))))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U* U))))))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (+.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U* U)))))))))) |
| 2.1s | (*.f64 (*.f64 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h))) (sqrt.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)))) (*.f64 (fabs.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 l))) (sqrt.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 l))))) (-.f64 1 (/.f64 (*.f64 (*.f64 1/2 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d 2)) 2)) h) l))) |
| 61× | intervals |
| 18.8s | 33934× | body | 1024 | valid |
| 14.8s | 174526× | body | 128 | valid |
| 6.8s | 11456× | body | 2048 | valid |
| 5.5s | 15906× | body | 512 | valid |
| 4.9s | 1301× | body | 4096 | invalid |
| 4.7s | 49621× | body | 128 | nan |
| 3.1s | 3130× | body | 4096 | valid |
| 2.9s | 6272× | body | 1024 | nan |
| 2.6s | 24203× | body | 128 | invalid |
| 2.3s | 1178× | body | 2048 | invalid |
| 1.7s | 4563× | body | 1024 | invalid |
| 1.7s | 7785× | body | 256 | valid |
| 1.0s | 3237× | body | 512 | nan |
| 785.0ms | 1199× | body | 8192 | valid |
| 698.0ms | 2585× | body | 512 | invalid |
| 339.0ms | 1637× | body | 256 | nan |
| 319.0ms | 2253× | body | 128 | overflowed |
| 261.0ms | 1381× | body | 256 | invalid |
| 154.0ms | 8256× | pre | 128 | true |
| 9.0ms | 14× | body | 8192 | exit |
| 1.0ms | 1× | body | 2048 | nan |
| 182× | egg-herbie |
| 31× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 98.2% | 1.8% | 0 |
| 3.2% | 95% | 1.8% | 1 |
| 5.6% | 91% | 3.4% | 2 |
| 8% | 84.5% | 7.4% | 3 |
| 9.8% | 80.7% | 9.5% | 4 |
| 13.5% | 76.9% | 9.7% | 5 |
| 16% | 72.8% | 11.2% | 6 |
| 18.1% | 68.2% | 13.7% | 7 |
| 21.2% | 62.6% | 16.2% | 8 |
| 24.7% | 57% | 18.2% | 9 |
| 26.4% | 53.6% | 20% | 10 |
| 28.9% | 49.8% | 21.3% | 11 |
| 30.2% | 47.2% | 22.5% | 12 |
| 31.9% | 42.5% | 25.7% | 13 |
| 32.9% | 40.8% | 26.3% | 14 |
| 121× | rewrite-expression-head |
442 calls:
| 613.0ms | (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 3 a) (+.f64 a 1)) (-.f64 (*.f64 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) 4) (*.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 (+.f64 (*.f64 a (*.f64 (-.f64 a (pow.f64 a 3)) (-.f64 3 a))) (*.f64 (*.f64 (*.f64 b b) (-.f64 9 (*.f64 a a))) (+.f64 a 1))) (*.f64 4 (-.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b a)) 2) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))) (*.f64 (*.f64 (-.f64 3 a) (+.f64 a 1)) (-.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b a)) 2) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) |
| 174.0ms | (+.f64 (*.f64 (*.f64 (-.f64 3 a) (+.f64 a 1)) (-.f64 (*.f64 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) 4) (*.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 (+.f64 (*.f64 a (*.f64 (-.f64 a (pow.f64 a 3)) (-.f64 3 a))) (*.f64 (*.f64 (*.f64 b b) (-.f64 9 (*.f64 a a))) (+.f64 a 1))) (*.f64 4 (-.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b a)) 2) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
| 61.0ms | (+.f64 (/.f64 1 (/.f64 (*.f64 (*.f64 w h) (*.f64 D D)) (*.f64 c0 (*.f64 d d)))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D)))) (*.f64 M M)))) |
| 51.0ms | (+.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D)))) (*.f64 M M)))) |
| 49.0ms | (*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))) |
| 33255× | associate-*r/_binary64 |
| 28423× | frac-times_binary64 |
| 22132× | flip3--_binary64 flip--_binary64 |
| 20432× | frac-add_binary64 |
| 14375× | associate-*l/_binary64 |
| 7763× | flip3-+_binary64 flip-+_binary64 |
| 5276× | associate-/l/_binary64 |
| 4694× | add-sqr-sqrt_binary64 |
| 4650× | times-frac_binary64 |
| 4452× | add-exp-log_binary64 |
| 4330× | *-un-lft-identity_binary64 |
| 3257× | add-cube-cbrt_binary64 |
| 3206× | add-cbrt-cube_binary64 |
| 2047× | prod-exp_binary64 |
| 1771× | sqrt-prod_binary64 |
| 1523× | pow1_binary64 |
| 1374× | cbrt-unprod_binary64 |
| 980× | associate-*r*_binary64 |
| 938× | div-exp_binary64 |
| 756× | associate-*l*_binary64 |
| 626× | cbrt-undiv_binary64 |
| 620× | unpow-prod-down_binary64 |
| 571× | pow-prod-down_binary64 |
| 529× | difference-of-squares_binary64 |
| 522× | add-log-exp_binary64 |
| 439× | sqrt-div_binary64 |
| 427× | associate-/r*_binary64 |
| 391× | cbrt-prod_binary64 |
| 370× | associate-/l*_binary64 |
| 281× | pow-exp_binary64 |
| 267× | div-inv_binary64 |
| 255× | unswap-sqr_binary64 |
| 254× | distribute-lft-out--_binary64 |
| 241× | distribute-lft-out_binary64 |
| 223× | sqr-pow_binary64 |
| 214× | pow-unpow_binary64 |
| 179× | associate-/r/_binary64 |
| 165× | sqrt-pow1_binary64 |
| 162× | pow-to-exp_binary64 |
| 156× | *-commutative_binary64 |
| 97× | clear-num_binary64 unpow2_binary64 frac-2neg_binary64 |
| 90× | cube-prod_binary64 |
| 86× | pow1/2_binary64 |
| 84× | cbrt-div_binary64 |
| 75× | sub-neg_binary64 |
| 67× | rem-sqrt-square_binary64 |
| 64× | log-pow_binary64 |
| 61× | pow-pow_binary64 tan-quot_binary64 |
| 59× | distribute-rgt-in_binary64 distribute-lft-in_binary64 |
| 56× | exp-prod_binary64 |
| 43× | pow1/3_binary64 |
| 41× | pow-prod-up_binary64 |
| 31× | swap-sqr_binary64 |
| 30× | sum-log_binary64 |
| 26× | div-sub_binary64 |
| 23× | pow-sqr_binary64 +-commutative_binary64 |
| 22× | rec-exp_binary64 |
| 18× | log-prod_binary64 |
| 17× | pow-plus_binary64 |
| 14× | sinh-def_binary64 unpow3_binary64 cube-mult_binary64 associate-+r+_binary64 |
| 12× | diff-log_binary64 pow-sub_binary64 |
| 11× | pow-flip_binary64 |
| 10× | pow2_binary64 |
| 9× | inv-pow_binary64 |
| 8× | sqrt-unprod_binary64 difference-of-sqr-1_binary64 cube-div_binary64 |
| 6× | unpow-prod-up_binary64 rem-cube-cbrt_binary64 |
| 5× | sqrt-undiv_binary64 rem-log-exp_binary64 asin-acos_binary64 |
| 4× | associate-+l+_binary64 associate--l+_binary64 |
| 3× | associate--r+_binary64 acos-asin_binary64 distribute-rgt-neg-out_binary64 frac-sub_binary64 cos-diff_binary64 cos-sum_binary64 |
| 2× | rem-cbrt-cube_binary64 sinh-undef_binary64 rem-square-sqrt_binary64 |
| 1× | pow3_binary64 distribute-lft-neg-in_binary64 neg-mul-1_binary64 exp-to-pow_binary64 distribute-rgt-neg-in_binary64 associate--r-_binary64 sub-div_binary64 mul0-rgt_binary64 |
Total 39.6b remaining (21.4%)
Threshold costs 4.7b (2.5%)
| 6.4b | 29.7% | Toniolo and Linder, Equation (10+) |
| 5.5b | 77.1% | Toniolo and Linder, Equation (7) |
| 5.4b | 41.6% | Toniolo and Linder, Equation (13) |
| 4.8b | 19.6% | Toniolo and Linder, Equation (10-) |
| 4.4b | 2.5% | Henrywood and Agarwal, Equation (12) |
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