| Date: | Wednesday, March 18th, 2020 |
|---|---|
| Commit: | 1a959946 on master |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020078 |
| 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 |
438 calls:
| 5.0s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) |
| 4.7s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 4.7s | (sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) |
| 4.6s | (sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) |
| 1.3s | (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) |
| 61× | intervals |
| 16.3s | 31110× | body | 1280 | valid |
| 16.1s | 250036× | body | 80 | valid |
| 11.2s | 167152× | body | 80 | nan |
| 8.9s | 8964× | body | 2560 | valid |
| 7.4s | 20903× | body | 640 | valid |
| 5.6s | 3294× | body | 5120 | valid |
| 2.4s | 10184× | body | 320 | valid |
| 1.3s | 8996× | body | 160 | valid |
| 932.0ms | 2722× | body | 1280 | nan |
| 614.0ms | 2386× | body | 640 | nan |
| 323.0ms | 609× | body | 10240 | exit |
| 226.0ms | 1209× | body | 320 | nan |
| 110.0ms | 8256× | pre | 80 | true |
| 72.0ms | 637× | body | 160 | nan |
| 177× | egg-herbie |
Total 46.7b remaining (24.3%)
Threshold costs 3.7b (1.9%)
| 9.1b | 28.3% | Toniolo and Linder, Equation (13) |
| 7.8b | 47% | Henrywood and Agarwal, Equation (3) |
| 6.1b | 74.5% | Toniolo and Linder, Equation (7) |
| 4.7b | 21.6% | Henrywood and Agarwal, Equation (12) |
| 4.1b | 15.3% | Toniolo and Linder, Equation (10-) |
| 117× | rewrite-expression-head |
438 calls:
| 83.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l)))) |
| 79.0ms | (* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l)))) |
| 71.0ms | (* (pow (/ (sqrt 1) (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))) |
| 70.0ms | (sqrt (* (* (/ (* (cbrt (+ (sqrt 1.0) (pow (/ Om Omc) (/ 2.0 2)))) (cbrt (+ (sqrt 1.0) (pow (/ Om Omc) (/ 2.0 2))))) (sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))) (/ (cbrt (+ (sqrt 1.0) (pow (/ Om Omc) (/ 2.0 2)))) (sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))) (/ (- (sqrt 1.0) (pow (/ Om Omc) (/ 2.0 2))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))) |
| 41.0ms | (* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))) |
| 41144× | add-exp-log |
| 29199× | prod-exp |
| 18228× | pow-exp |
| 13600× | div-exp |
| 8673× | pow-to-exp |
| 4631× | add-sqr-sqrt |
| 4606× | *-un-lft-identity |
| 3971× | times-frac |
| 3396× | add-cube-cbrt |
| 2560× | add-cbrt-cube |
| 2027× | rec-exp 1-exp |
| 1221× | unpow-prod-down |
| 1068× | pow1 |
| 1047× | cbrt-prod |
| 962× | cbrt-unprod |
| 904× | associate-*r* |
| 831× | associate-*l* |
| 712× | sqrt-prod |
| 589× | prod-diff |
| 571× | cbrt-undiv |
| 543× | distribute-lft-out-- |
| 494× | add-log-exp |
| 453× | associate-/l* |
| 439× | log1p-expm1-u |
| 438× | expm1-log1p-u |
| 436× | associate-*r/ |
| 409× | distribute-rgt-neg-in |
| 381× | distribute-lft-neg-in |
| 338× | associate-/r* |
| 324× | div-inv |
| 304× | unswap-sqr |
| 298× | pow-prod-down |
| 293× | sqr-pow exp-prod |
| 257× | difference-of-squares |
| 254× | pow-unpow |
| 245× | distribute-rgt-in distribute-lft-in |
| 244× | cube-prod |
| 224× | sqrt-div |
| 195× | flip3-- flip-- |
| 185× | distribute-lft-out |
| 162× | associate-/r/ |
| 156× | frac-times |
| 143× | *-commutative |
| 128× | associate-*l/ |
| 114× | div-sub |
| 105× | clear-num frac-2neg |
| 93× | pow1/3 |
| 88× | flip-+ flip3-+ |
| 87× | pow-sub |
| 80× | sqrt-pow1 |
| 74× | swap-sqr |
| 69× | cos-sum |
| 64× | sub-neg |
| 62× | associate--l+ |
| 57× | pow1/2 |
| 55× | fma-neg |
| 51× | cbrt-div |
| 49× | neg-mul-1 |
| 47× | rem-sqrt-square |
| 42× | associate-/l/ |
| 39× | log-prod |
| 36× | pow-pow |
| 35× | fma-def |
| 32× | fma-udef hypot-def frac-sub |
| 28× | unpow2 |
| 23× | tan-quot |
| 22× | associate--r+ |
| 18× | pow-prod-up pow-sqr |
| 17× | neg-sub0 |
| 15× | diff-log |
| 14× | frac-add |
| 13× | sum-log |
| 11× | +-commutative |
| 10× | distribute-frac-neg distribute-neg-frac |
| 9× | pow2 pow-plus |
| 7× | cube-div inv-pow pow-flip unpow3 cube-mult |
| 6× | rem-cube-cbrt log-pow |
| 5× | rem-exp-log exp-diff exp-neg |
| 4× | pow-neg neg-log rem-log-exp |
| 3× | un-div-inv cos-diff sum-cubes log-div |
| 2× | associate--l- hypot-udef unsub-neg acos-asin asin-acos associate--r- rem-cbrt-cube associate-+r- |
| 1× | log1p-udef log1p-expm1 associate-+l+ expm1-log1p exp-sum mul0 distribute-rgt-neg-out expm1-udef |