18046 calls:
| 2.0s | (im (+.c (+.c (+.c (+.c (+.c (+.c (*.c (*.c (*.c (*.c (*.c (complex -1 1) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (*.c (*.c (*.c (*.c (*.c (complex 6 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (complex 20 0) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1))) (*.c (complex 6 0) (complex -1 1))) (complex 1 0))) |
| 1.7s | (re (+.c (+.c (+.c (+.c (+.c (+.c (*.c (*.c (*.c (*.c (*.c (complex -1 1) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (*.c (*.c (*.c (*.c (*.c (complex 6 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (*.c (complex 20 0) (complex -1 1)) (complex -1 1)) (complex -1 1))) (*.c (*.c (complex 15 0) (complex -1 1)) (complex -1 1))) (*.c (complex 6 0) (complex -1 1))) (complex 1 0))) |
| 1.6s | (* (/ (* (* (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* (+ a b) eps)) eps)) (* (expm1 (* (+ a b) eps)) eps)) (* (* (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))))) (/ (/ (* (* 1 1) 1) (* (* (expm1 (* eps a)) (expm1 (* eps a))) (expm1 (* eps a)))) (expm1 (* eps b)))) |
| 1.5s | (* (/ (* (* (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* (+ a b) eps)) eps)) (* (expm1 (* (+ a b) eps)) eps)) (* (* (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))))) (* (* (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b)))) (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b))))) (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b)))))) |
| 1.4s | (* (/ (* (* (* (expm1 (* (+ a b) eps)) (expm1 (* (+ a b) eps))) (expm1 (* (+ a b) eps))) (* (* eps eps) eps)) (* (* (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b)))))) (* (* (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b)))) (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b))))) (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b)))))) |
| 54× | intervals |
| 16× | halfpoints |
| 1.1m | 65390× | body | 1280 | valid |
| 38.4s | 14928× | body | 2560 | valid |
| 26.1s | 41315× | body | 640 | valid |
| 14.5s | 12655× | body | 10240 | exit |
| 9.9s | 82193× | body | 80 | valid |
| 9.3s | 20007× | body | 320 | valid |
| 7.3s | 58001× | body | 80 | nan |
| 3.8s | 10655× | body | 160 | valid |
| 2.5s | 47284× | pre | 80 | true |
| 811.0ms | 668× | body | 1280 | nan |
| 535.0ms | 691× | body | 640 | nan |
| 264.0ms | 238× | body | 5120 | valid |
| 220.0ms | 410× | body | 320 | nan |
| 51.0ms | 164× | body | 160 | nan |
339 calls:
| 1.1s | (- (fma (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (* (tan x) (tan eps)) (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps)))))) (tan x)) |
| 876.0ms | (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ (/ 1 n) 2)) (pow x (/ (/ 1 n) 2))))) |
| 751.0ms | (* (cbrt (/ 1/2 (sqrt 2))) (* (/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2)) (sin y))) |
| 690.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (tan x)) |
| 681.0ms | (* (/ (* (expm1 (* (+ a b) eps)) eps) (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (/ (/ 1 (expm1 (* eps a))) (cbrt (expm1 (* eps b))))) |
| 109× | rewrite-expression-head |
339 calls:
| 331.0ms | (/ (- (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) (* (/ 1 (- x 1)) (/ 1 (- x 1)))) (- (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))) |
| 197.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 156.0ms | (+ (- (/ 1 (+ 1 x)) (/ 2 x)) (+ (fma (- (/ (cbrt 2) x)) (/ (* (cbrt 2) (cbrt 2)) 1) (* (/ (cbrt 2) x) (/ (* (cbrt 2) (cbrt 2)) 1))) (/ 1 (- x 1)))) |
| 155.0ms | (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) |
| 153.0ms | (/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) |
| 45769× | times-frac |
| 28829× | *-un-lft-identity |
| 27461× | add-sqr-sqrt |
| 25487× | add-cube-cbrt |
| 14815× | prod-diff |
| 7053× | sqrt-prod |
| 2017× | distribute-rgt-neg-in |
| 1987× | distribute-lft-neg-in |
| 1816× | div-inv |
| 1338× | pow1 |
| 1233× | add-exp-log |
| 1120× | distribute-lft-out |
| 1033× | add-cbrt-cube |
| 830× | cbrt-prod |
| 683× | associate-*l* |
| 662× | neg-mul-1 |
| 622× | difference-of-squares |
| 557× | distribute-lft-out-- |
| 537× | associate-*r* |
| 522× | fma-neg |
| 518× | unpow-prod-down |
| 516× | add-log-exp |
| 493× | associate-/r/ |
| 489× | associate-+l+ |
| 481× | distribute-rgt-in distribute-lft-in |
| 476× | associate--l+ |
| 382× | associate-/l* |
| 336× | log1p-expm1-u |
| 335× | prod-exp |
| 331× | expm1-log1p-u insert-posit16 |
| 314× | cube-prod |
| 312× | swap-sqr |
| 283× | pow-prod-down cbrt-unprod |
| 274× | div-exp |
| 270× | associate-/r* |
| 257× | flip3-- flip-- |
| 248× | frac-times |
| 230× | flip-+ flip3-+ |
| 221× | pow-prod-up |
| 216× | unswap-sqr |
| 210× | frac-sub |
| 198× | cbrt-undiv |
| 190× | sqrt-div |
| 173× | log-prod |
| 166× | associate-*l/ |
| 163× | tan-quot associate-*r/ |
| 143× | sqrt-pow1 |
| 133× | pow-sqr |
| 124× | sqr-pow |
| 120× | fma-def |
| 101× | pow-plus |
| 99× | pow1/2 |
| 97× | pow-unpow associate-/l/ |
| 71× | cbrt-div *-commutative |
| 70× | pow2 |
| 69× | sub-neg |
| 68× | diff-log |
| 63× | pow1/3 |
| 60× | frac-2neg clear-num |
| 53× | exp-prod |
| 45× | cube-mult |
| 41× | unpow3 |
| 37× | pow-flip |
| 35× | 1-exp rec-exp |
| 34× | rem-sqrt-square |
| 33× | sum-log log-pow |
| 32× | un-div-inv |
| 24× | fma-udef |
| 23× | difference-of-sqr-1 |
| 22× | exp-sum |
| 21× | associate-+r+ inv-pow |
| 20× | +-commutative log-div |
| 18× | div-sub hypot-def |
| 17× | frac-add |
| 13× | pow-pow rem-log-exp |
| 12× | distribute-rgt-out-- |
| 11× | pow-exp pow-to-exp |
| 7× | neg-sub0 sqrt-unprod associate--r+ |
| 6× | expm1-log1p pow-div expm1-udef exp-diff pow3 associate-+l- |
| 5× | associate--l- |
| 4× | log1p-udef neg-log sum-cubes distribute-neg-frac log1p-def sin-mult |
| 3× | log-rec sub-div rem-square-sqrt rem-cbrt-cube |
| 2× | sin-sum rem-cube-cbrt sin-cos-mult exp-neg log1p-expm1 +.c-commutative sqr-sin tan-sum frac-2neg-c rem-exp-log cos-sum |
| 1× | distribute-lft-neg-out diff-atan associate-+r- diff-sin difference-cubes diff-cos unsub-neg expm1-def |
Total 18.2b remaining (17.8%)
| 4.5b | 83.9% | quad2p (problem 3.2.1, positive) |
| 3.1b | 0% | expq3 (problem 3.4.2) |
| 2.6b | 90% | quad2m (problem 3.2.1, negative) |
| 2.3b | 76.2% | 2tan (problem 3.3.2) |
| 1.7b | 86.2% | 2nthrt (problem 3.4.6) |