39595 calls:
| 1.8s | (/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a))) |
| 1.5s | (/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 1.5s | (/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 1.5s | (/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a))) |
| 1.4s | (/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a))) |
| 66× | intervals |
| 9.4m | 73583× | body | 10240 | exit |
| 50.6s | 27303× | body | 1280 | valid |
| 23.7s | 163102× | body | 80 | valid |
| 21.2s | 19714× | body | 640 | valid |
| 20.1s | 143432× | body | 80 | nan |
| 13.6s | 19522× | body | 320 | valid |
| 11.5s | 31074× | body | 160 | valid |
| 8.4s | 123490× | pre | 80 | true |
| 2.0s | 2151× | body | 2560 | valid |
| 1.9s | 4165× | pre | 10240 | exit |
| 1.4s | 7864× | body | 160 | nan |
| 209.0ms | 228× | body | 5120 | valid |
| 126× | rewrite-expression-head |
406 calls:
| 24.1s | (/ (+ (pow (+ (* (* (* x x) -1/3) x) x) 3) (pow (* (pow x 5) 2/15) 3)) (+ (* (+ (* (* (* x x) -1/3) x) x) (+ (* (* (* x x) -1/3) x) x)) (- (* (* (pow x 5) 2/15) (* (pow x 5) 2/15)) (* (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))))) |
| 22.9s | (* (* (- (/ m (* (/ v (- (pow 1 3) (pow m 3))) (+ (+ (* m m) m) 1))) 1) (sqrt m)) (sqrt m)) |
| 8.3s | (* (- (/ (- m (* (* m m) (* m m))) (* v (+ (* 1 1) (+ (* m m) (* 1 m))))) 1) (- 1 m)) |
| 7.4s | (* (- (/ m (* (/ v (- (pow 1 3) (pow m 3))) (+ (+ (* m m) m) 1))) 1) (sqrt m)) |
| 7.3s | (* (- (/ m (* (/ v (- (pow 1 3) (pow m 3))) (+ (+ (* m m) m) 1))) 1) m) |
| 98530× | *-un-lft-identity |
| 75572× | add-sqr-sqrt |
| 66799× | times-frac |
| 50367× | associate-*l* |
| 44197× | add-cube-cbrt |
| 41172× | associate-/l* |
| 35973× | associate-/r* |
| 27125× | distribute-lft-out |
| 20653× | frac-add |
| 19018× | frac-sub |
| 18567× | frac-times |
| 15771× | associate-*r* |
| 14698× | cbrt-prod |
| 14626× | unpow-prod-down |
| 14614× | associate-/l/ |
| 12582× | associate-*l/ |
| 11164× | unswap-sqr |
| 9150× | log-div |
| 8158× | distribute-lft-out-- |
| 8028× | sqrt-prod |
| 7885× | difference-of-squares |
| 6002× | clear-num |
| 5983× | frac-2neg |
| 5350× | cube-prod |
| 4153× | *-commutative |
| 3026× | swap-sqr |
| 2966× | sqr-pow |
| 2951× | add-exp-log |
| 2758× | add-cbrt-cube |
| 2048× | div-inv |
| 1272× | flip-+ |
| 1271× | flip3-+ |
| 1188× | pow1 |
| 1187× | prod-exp |
| 1102× | cbrt-undiv |
| 1098× | cbrt-unprod |
| 988× | div-exp |
| 870× | associate-*r/ |
| 795× | associate-/r/ |
| 701× | pow-exp |
| 643× | add-log-exp |
| 618× | pow-unpow |
| 528× | flip-- |
| 527× | flip3-- |
| 472× | sum-cubes |
| 406× | insert-posit16 |
| 353× | pow-to-exp |
| 310× | sqrt-div |
| 278× | pow-prod-down |
| 245× | log-prod |
| 243× | distribute-rgt-out-- |
| 195× | difference-of-sqr-1 |
| 180× | cbrt-div |
| 176× | log-pow |
| 159× | exp-prod |
| 140× | difference-cubes |
| 131× | 1-exp |
| 130× | rec-exp |
| 100× | pow-prod-up |
| 95× | sub-neg |
| 80× | tan-quot |
| 75× | diff-log |
| 74× | +-commutative |
| 70× | pow-sqr |
| 69× | distribute-rgt-neg-in |
| 67× | exp-diff |
| 54× | pow-plus |
| 52× | distribute-rgt-in distribute-lft-in |
| 50× | un-div-inv |
| 49× | sum-log sqrt-pow1 |
| 43× | pow1/2 |
| 42× | pow2 |
| 36× | rem-sqrt-square |
| 35× | div-sub cube-mult |
| 31× | pow1/3 |
| 30× | difference-of-sqr--1 |
| 28× | rem-log-exp |
| 25× | distribute-rgt-out |
| 20× | associate-+l+ |
| 19× | associate--l+ sub-div |
| 16× | associate-+r+ |
| 14× | acos-asin |
| 13× | cos-mult |
| 12× | cos-diff |
| 10× | pow-flip associate--l- exp-sum |
| 9× | inv-pow |
| 8× | cos-sum |
| 7× | sin-mult remove-double-div |
| 6× | pow-pow distribute-rgt1-in |
| 4× | distribute-frac-neg associate--r+ associate-+l- |
| 3× | log-rec sin-PI/3 acos-neg |
| 2× | sin-sum sqrt-unprod associate--r- |
| 1× | remove-posit16 sin-cos-mult distribute-lft1-in sub0-neg pow3 tanh-undef tanh-def exp-to-pow asin-acos rem-exp-log sin-diff |
406 calls:
| 910.0ms | (cbrt (/ (- (- g) (sqrt (- (* g g) (* h h)))) (/ (cbrt a) (sqrt 1/2)))) |
| 791.0ms | (/ (* (/ (cbrt a2) (cbrt b2)) (* (/ (cbrt a2) (cbrt b2)) a1)) b1) |
| 746.0ms | (/ (* (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))) |
| 696.0ms | (cos (/ (- (* (/ (acos (/ g h)) (* (cbrt 3) (cbrt 3))) 3/2) (* (cbrt 3) PI)) (* (cbrt 3) 3/2))) |
| 576.0ms | (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) |
Total 50.2b remaining (31.4%)
| 8.1b | 41.4% | Quadratic roots, narrow range |
| 7.6b | 45.7% | Cubic critical, narrow range |
| 6.8b | 54.4% | Equirectangular approximation to distance on a great circle |
| 6.2b | 14.1% | Cubic critical, medium range |
| 5.8b | 16.4% | Quadratic roots, medium range |