| 78× | intervals |
| 9.8m | 57214× | body | 10240 | exit |
| 1.7m | 44249× | body | 1280 | valid |
| 38.2s | 30259× | body | 640 | valid |
| 28.7s | 205535× | body | 80 | valid |
| 20.5s | 151601× | body | 80 | nan |
| 18.8s | 27753× | body | 320 | valid |
| 12.4s | 35976× | body | 160 | valid |
| 11.3s | 197212× | pre | 80 | true |
| 3.2s | 3036× | body | 2560 | valid |
| 1.5s | 7845× | body | 160 | nan |
| 881.0ms | 4138× | pre | 10240 | exit |
| 308.0ms | 205× | body | 5120 | valid |
| 2.0ms | 2× | body | 320 | nan |
| 1.0ms | 1× | body | 640 | nan |
468 calls:
| 1.5s | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 1.3s | (sqrt (* (* (sin phi1) (sin (asin (fma (* (cos phi1) (sin delta)) (cos theta) (* (sin phi1) (cos delta)))))) (expm1 (log1p (* (sin phi1) (sin (asin (fma (* (cos phi1) (sin delta)) (cos theta) (* (sin phi1) (cos delta)))))))))) |
| 1.3s | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 1.3s | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
| 1.1s | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
Total 48.4b remaining (27.2%)
Threshold costs 5.2b (2.9%)
| 7.6b | -7.1% | Cubic critical, medium range |
| 5.6b | 58.6% | Quadratic roots, narrow range |
| 5.4b | 50.2% | Quotient of products |
| 5.2b | 24% | Quadratic roots, medium range |
| 4.6b | 83.5% | Quadratic roots, full range |
| 144× | rewrite-expression-head |
468 calls:
| 377.0ms | (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))) |
| 316.0ms | (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) |
| 275.0ms | (/ (/ (+ (* (* (* a c) -3) (sqrt (fma (* a c) -3 (* b b)))) (- (* (* b b) (sqrt (fma (* a c) -3 (* b b)))) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 275.0ms | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 269.0ms | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 11622× | *-un-lft-identity |
| 9862× | times-frac |
| 9251× | add-sqr-sqrt |
| 6553× | add-cube-cbrt |
| 4869× | prod-diff |
| 2788× | add-exp-log |
| 1509× | distribute-lft-out |
| 1492× | add-cbrt-cube |
| 1396× | pow1 |
| 1340× | exp-sum |
| 1191× | difference-of-squares |
| 1047× | prod-exp |
| 926× | div-exp |
| 791× | log-prod |
| 768× | associate-/r/ |
| 735× | distribute-lft-out-- |
| 717× | div-inv |
| 693× | pow-exp |
| 659× | add-log-exp |
| 526× | sqrt-prod |
| 481× | associate-*r* |
| 473× | expm1-log1p-u |
| 470× | associate-/l* |
| 469× | log1p-expm1-u |
| 468× | insert-posit16 |
| 463× | associate-*l* |
| 434× | associate-/r* |
| 417× | difference-of-sqr-1 |
| 410× | flip-+ |
| 409× | flip3-+ |
| 407× | cbrt-prod |
| 382× | frac-times |
| 349× | cbrt-unprod |
| 345× | pow-prod-down pow-to-exp |
| 301× | flip-- |
| 300× | flip3-- |
| 299× | cbrt-undiv |
| 294× | fma-neg |
| 268× | unpow-prod-down |
| 253× | cbrt-div |
| 239× | distribute-rgt-in distribute-lft-in |
| 235× | sqrt-pow1 |
| 213× | fma-def |
| 185× | associate-*r/ |
| 175× | associate-*l/ |
| 151× | exp-prod |
| 143× | swap-sqr |
| 138× | unswap-sqr |
| 135× | 1-exp rec-exp |
| 129× | log-pow |
| 113× | *-commutative |
| 107× | pow-prod-up |
| 106× | sqrt-div tanh-def |
| 105× | frac-2neg clear-num |
| 103× | sub-neg |
| 82× | sqr-pow |
| 80× | associate-/l/ |
| 77× | pow1/2 |
| 74× | diff-log |
| 69× | pow-sqr |
| 66× | frac-add |
| 60× | cos-sum |
| 52× | fma-udef |
| 51× | pow-plus |
| 50× | pow1/3 |
| 48× | log-div |
| 47× | cube-unmult sin-mult |
| 45× | div-sub |
| 33× | distribute-rgt-neg-in |
| 30× | sum-log |
| 28× | pow2 |
| 26× | associate--r+ rem-sqrt-square |
| 24× | rem-log-exp tan-quot |
| 23× | frac-sub |
| 22× | sin-sum difference-cubes |
| 21× | +-commutative |
| 20× | associate--l+ |
| 19× | pow-flip associate--r- |
| 18× | sin-diff |
| 12× | inv-pow distribute-lft-neg-in |
| 11× | cos-mult cos-diff |
| 9× | neg-sub0 exp-diff rem-exp-log acos-asin |
| 8× | associate-+l- |
| 7× | sin-cos-mult pow3 expm1-def log1p-udef |
| 6× | pow-unpow log1p-expm1 pow-pow distribute-rgt-out-- distribute-rgt-out |
| 5× | associate--l- associate-+r- neg-log sub-div |
| 4× | expm1-log1p expm1-udef neg-mul-1 hypot-def |
| 3× | distribute-frac-neg sqrt-unprod acos-neg log1p-def rem-square-sqrt rem-cbrt-cube |
| 2× | distribute-rgt1-in hypot-1-def un-div-inv |
| 1× | remove-posit16 exp-to-pow distribute-neg-frac hypot-udef asin-acos tanh-undef unsub-neg |