| Date: | Wednesday, April 15th, 2020 |
|---|---|
| Commit: | a2983cd2 on master |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020106 |
| 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 |
435 calls:
| 5.1s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.9s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.8s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.5s | (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) |
| 61× | intervals |
| 19.3s | 248906× | body | 80 | valid |
| 18.5s | 31103× | body | 1280 | valid |
| 13.4s | 166711× | body | 80 | nan |
| 9.6s | 8891× | body | 2560 | valid |
| 8.4s | 21004× | body | 640 | valid |
| 5.6s | 3346× | body | 5120 | valid |
| 2.9s | 10330× | body | 320 | valid |
| 1.7s | 9246× | body | 160 | valid |
| 836.0ms | 1658× | body | 1280 | nan |
| 548.0ms | 1468× | body | 640 | nan |
| 371.0ms | 607× | body | 5120 | exit |
| 352.0ms | 2539× | body | 80 | overflowed |
| 210.0ms | 834× | body | 320 | nan |
| 144.0ms | 8256× | pre | 80 | true |
| 54.0ms | 362× | body | 160 | nan |
| 174× | egg-herbie |
Total 40.7b remaining (23.7%)
Threshold costs 4.3b (2.5%)
| 11.1b | 23.3% | Toniolo and Linder, Equation (13) |
| 5.4b | 76.8% | Toniolo and Linder, Equation (7) |
| 5.4b | 21.1% | Henrywood and Agarwal, Equation (12) |
| 4.1b | 50.4% | Toniolo and Linder, Equation (10+) |
| 3.2b | 30.7% | Toniolo and Linder, Equation (10-) |
| 114× | rewrite-expression-head |
435 calls:
| 1.1s | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))) |
| 483.0ms | (* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0))))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l)))) |
| 146.0ms | (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)) |
| 77.0ms | (* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l)))) |
| 61.0ms | (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) |
| 100006× | add-exp-log |
| 75674× | prod-exp |
| 42554× | pow-exp |
| 31913× | times-frac |
| 30886× | div-exp |
| 15819× | add-sqr-sqrt |
| 14915× | *-un-lft-identity |
| 14362× | pow-to-exp |
| 14289× | add-cube-cbrt |
| 8902× | unpow-prod-down |
| 8649× | 1-exp |
| 5615× | rec-exp |
| 4605× | cbrt-prod |
| 4474× | associate-*r* |
| 2406× | add-cbrt-cube |
| 1640× | sqr-pow |
| 1215× | pow1 |
| 1038× | associate-*l* |
| 997× | cbrt-unprod |
| 859× | sqrt-prod |
| 786× | prod-diff |
| 695× | unpow2 |
| 635× | associate-/l* |
| 585× | div-inv |
| 516× | add-log-exp |
| 436× | expm1-log1p-u |
| 435× | log1p-expm1-u |
| 401× | cbrt-undiv |
| 399× | unswap-sqr |
| 396× | pow-prod-down |
| 371× | associate-*r/ |
| 281× | distribute-lft-out-- |
| 275× | associate-/r* |
| 255× | pow-unpow |
| 254× | exp-sum |
| 248× | sqrt-div |
| 210× | difference-of-squares |
| 206× | frac-times |
| 205× | distribute-rgt-in distribute-lft-in |
| 200× | associate-*l/ |
| 167× | flip3-- flip-- |
| 153× | *-commutative |
| 128× | cbrt-div |
| 127× | associate-/r/ |
| 123× | distribute-lft-neg-in distribute-rgt-neg-in |
| 114× | flip-+ flip3-+ |
| 102× | fma-def |
| 93× | sqrt-pow1 |
| 82× | frac-2neg clear-num |
| 73× | distribute-lft-out |
| 69× | pow1/2 pow1/3 |
| 65× | sub-neg |
| 63× | swap-sqr |
| 58× | tan-quot |
| 52× | associate--l+ |
| 43× | rem-sqrt-square |
| 37× | pow-pow |
| 35× | fma-udef |
| 34× | exp-prod |
| 33× | frac-sub |
| 32× | associate-/l/ sum-log |
| 29× | fma-neg |
| 27× | cube-prod cos-sum |
| 26× | associate-+r+ +-commutative |
| 24× | pow-prod-up log-pow |
| 19× | log-prod |
| 17× | pow-sqr |
| 15× | div-sub hypot-def neg-mul-1 |
| 10× | diff-log pow-sub neg-sub0 |
| 9× | hypot-udef |
| 8× | pow-neg frac-add pow-plus |
| 7× | pow2 |
| 6× | unpow3 cube-mult distribute-neg-frac |
| 5× | inv-pow pow-flip rem-log-exp |
| 4× | rem-cube-cbrt sqrt-undiv |
| 3× | associate-+l+ sqrt-unprod rem-square-sqrt distribute-frac-neg acos-asin rem-cbrt-cube |
| 2× | rem-exp-log un-div-inv asin-acos associate-+r- sin-sum expm1-log1p associate--r- distribute-rgt-out-- expm1-udef |
| 1× | exp-diff cos-diff log1p-expm1 sub-div log1p-udef mul0 |