12158 calls:
| 2.9s | (/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.7s | (/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.7s | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))) |
| 2.6s | (/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b))) |
| 2.5s | (/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))) |
| 72× | intervals |
| 8.6m | 81142× | body | 10240 | exit |
| 53.0s | 32933× | body | 1280 | valid |
| 25.7s | 198240× | body | 80 | valid |
| 22.3s | 24321× | body | 640 | valid |
| 20.3s | 151229× | body | 80 | nan |
| 15.2s | 25127× | body | 320 | valid |
| 12.8s | 35232× | body | 160 | valid |
| 9.0s | 153491× | pre | 80 | true |
| 3.0s | 3105× | body | 2560 | valid |
| 1.3s | 7933× | body | 160 | nan |
| 909.0ms | 4127× | pre | 10240 | exit |
| 251.0ms | 227× | body | 5120 | valid |
433 calls:
| 819.0ms | (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 584.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 565.0ms | (/ (* e (sin v)) (sqrt (+ 1 (* e (cos v))))) |
| 531.0ms | (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) |
| 524.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) |
| 134× | rewrite-expression-head |
433 calls:
| 510.0ms | (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x))) |
| 480.0ms | (* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) |
| 385.0ms | (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) |
| 322.0ms | (* (- (/ (- m (* (* m m) (* m m))) (* v (+ (* 1 1) (+ (* m m) (* 1 m))))) 1) (- 1 m)) |
| 318.0ms | (log (+ x (+ (+ (/ -1/8 (* (* x x) x)) x) (/ 1/2 x)))) |
| 4469× | add-sqr-sqrt |
| 4403× | *-un-lft-identity |
| 3969× | times-frac |
| 3274× | add-exp-log |
| 2727× | add-cube-cbrt |
| 1779× | add-cbrt-cube |
| 1435× | pow1 |
| 1305× | prod-exp |
| 1103× | div-exp |
| 751× | difference-of-squares |
| 736× | sqrt-prod |
| 702× | pow-exp |
| 638× | add-log-exp |
| 620× | associate-*l* |
| 608× | associate-*r* |
| 584× | cbrt-prod |
| 583× | associate-*l/ |
| 571× | flip-- |
| 570× | flip3-- |
| 566× | sqrt-div |
| 528× | frac-times |
| 499× | cbrt-unprod |
| 433× | insert-posit16 |
| 423× | associate-/r* |
| 404× | associate-/l* |
| 395× | cbrt-undiv |
| 380× | distribute-lft-out-- |
| 354× | pow-to-exp |
| 325× | associate-*r/ |
| 310× | frac-add |
| 304× | distribute-lft-out |
| 297× | pow-prod-down |
| 282× | flip-+ div-inv |
| 281× | flip3-+ |
| 251× | swap-sqr |
| 242× | log-prod |
| 189× | associate-/r/ |
| 184× | pow-prod-up |
| 182× | unswap-sqr |
| 178× | 1-exp rec-exp |
| 177× | unpow-prod-down |
| 136× | difference-of-sqr-1 |
| 121× | log-pow |
| 118× | exp-prod |
| 116× | cbrt-div |
| 114× | pow-sqr |
| 113× | *-commutative |
| 104× | tan-quot |
| 102× | frac-2neg clear-num |
| 98× | sub-neg |
| 96× | sqrt-pow1 |
| 94× | cube-prod |
| 90× | pow-plus |
| 88× | associate--l+ |
| 84× | log-div |
| 80× | distribute-rgt-in distribute-lft-in |
| 78× | pow1/2 |
| 65× | pow2 |
| 63× | sqr-pow |
| 60× | associate-/l/ |
| 59× | diff-log |
| 52× | pow-flip |
| 50× | sum-log |
| 47× | associate-+l+ |
| 44× | rem-sqrt-square |
| 43× | pow1/3 inv-pow |
| 38× | cos-mult |
| 34× | +-commutative |
| 29× | distribute-rgt-neg-in |
| 27× | rem-log-exp |
| 24× | associate-+r+ |
| 23× | pow-pow |
| 22× | div-sub |
| 15× | pow-unpow |
| 14× | sum-cubes |
| 12× | exp-sum |
| 11× | associate--r+ |
| 10× | pow3 sin-mult cos-diff |
| 9× | cos-sum distribute-rgt-out |
| 8× | associate--l- frac-sub cube-unmult |
| 7× | exp-diff un-div-inv acos-asin |
| 6× | sin-sum sqrt-unprod associate-+l- associate--r- |
| 5× | difference-cubes |
| 4× | remove-posit16 |
| 3× | distribute-frac-neg acos-neg distribute-lft-neg-in distribute-rgt1-in |
| 2× | rem-cube-cbrt unpow3 distribute-rgt-out-- rem-square-sqrt cube-div cube-mult |
| 1× | neg-sub0 neg-mul-1 tanh-undef tanh-def sin-PI/3 exp-to-pow exp-neg asin-acos rem-exp-log rem-cbrt-cube sin-diff |
Total 65.8b remaining (36.2%)
| 11.8b | 34.3% | Equirectangular approximation to distance on a great circle |
| 7.3b | 45.6% | Quadratic roots, narrow range |
| 7.3b | 46.4% | Cubic critical, narrow range |
| 6.2b | 12.4% | Cubic critical, medium range |
| 6.0b | 12.2% | Quadratic roots, medium range |