| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 67065× | body | 1280 | valid |
| 40.4s | 17266× | body | 2560 | valid |
| 24.8s | 42459× | body | 640 | valid |
| 13.4s | 13136× | body | 10240 | exit |
| 10.5s | 93630× | body | 80 | valid |
| 9.7s | 20634× | body | 320 | valid |
| 7.1s | 63853× | body | 80 | nan |
| 2.3s | 10812× | body | 160 | valid |
| 1.8s | 47482× | pre | 80 | true |
| 1.6s | 461× | body | 5120 | valid |
| 766.0ms | 670× | body | 1280 | nan |
| 694.0ms | 702× | body | 640 | nan |
| 155.0ms | 377× | body | 320 | nan |
| 86.0ms | 198× | body | 160 | nan |
365 calls:
| 21.0s | (pow (exp (* (cbrt (log (- (/ 1.0 (sqrt x)) (/ 1.0 (hypot (sqrt x) (sqrt 1.0)))))) (cbrt (log (- (/ 1.0 (sqrt x)) (/ 1.0 (hypot (sqrt x) (sqrt 1.0)))))))) (cbrt (log (- (/ 1.0 (sqrt x)) (/ 1.0 (hypot (sqrt x) (sqrt 1.0))))))) |
| 2.6s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (* (pow eps 3) (pow b 3)) (fma 1/2 (* (pow eps 2) (pow b 2)) (* b eps))))) |
| 2.3s | (fma (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n)) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 1.9s | (fma (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n)) (- (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n))))) |
| 1.1s | (- (/ 1.0 (sqrt x)) (/ 1.0 (hypot (sqrt x) (sqrt 1.0)))) |
| 120× | rewrite-expression-head |
365 calls:
| 515.0ms | (+ (/ 2.0 (pow x 5)) (+ (/ 2.0 (pow x 3)) (/ 2.0 (pow x 7)))) |
| 454.0ms | (- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0)))) |
| 418.0ms | (* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0)))) |
| 305.0ms | (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) |
| 294.0ms | (* (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (/ 1 (* 2.0 a))) |
| 11612× | *-un-lft-identity |
| 11196× | times-frac |
| 10945× | add-sqr-sqrt |
| 8458× | add-cube-cbrt |
| 6042× | prod-diff |
| 2508× | sqrt-prod |
| 1074× | add-exp-log |
| 1044× | difference-of-squares |
| 841× | distribute-lft-out-- |
| 803× | add-cbrt-cube |
| 761× | div-inv |
| 736× | distribute-lft-out |
| 718× | associate--r+ |
| 642× | unpow-prod-down |
| 630× | add-log-exp |
| 627× | fma-neg |
| 619× | pow1 |
| 523× | associate-/r/ |
| 476× | associate-*l* |
| 444× | associate-/l* |
| 441× | cbrt-prod |
| 439× | associate-/r* |
| 376× | associate-*r* |
| 359× | log-prod |
| 357× | log1p-expm1-u |
| 356× | expm1-log1p-u |
| 297× | cube-prod |
| 287× | flip-- flip3-- |
| 280× | distribute-rgt-neg-in |
| 279× | div-exp |
| 278× | sqr-pow |
| 257× | distribute-rgt-in distribute-lft-in |
| 213× | distribute-lft-neg-in |
| 195× | prod-exp |
| 190× | fma-def |
| 185× | flip-+ flip3-+ |
| 165× | cbrt-undiv |
| 158× | log-pow |
| 157× | unswap-sqr associate-+r+ |
| 122× | exp-sum |
| 112× | sqrt-div |
| 107× | diff-log cbrt-unprod |
| 102× | sub-neg |
| 77× | unpow2 |
| 73× | clear-num frac-2neg |
| 71× | pow-unpow |
| 67× | neg-mul-1 |
| 65× | associate-/l/ |
| 60× | unpow3 cube-mult |
| 56× | swap-sqr |
| 54× | exp-prod |
| 47× | pow-prod-down |
| 45× | pow1/3 |
| 44× | pow-to-exp pow-exp log-div |
| 43× | sqrt-pow1 |
| 42× | pow1/2 |
| 40× | associate-*l/ 1-exp |
| 39× | rec-exp cbrt-div associate-*r/ |
| 38× | tan-quot |
| 37× | *-commutative |
| 33× | frac-sub |
| 32× | sum-log |
| 30× | frac-times |
| 29× | frac-add |
| 28× | rem-sqrt-square |
| 27× | div-sub |
| 21× | associate-+l+ |
| 20× | exp-diff neg-sub0 rem-log-exp |
| 19× | fma-udef +-commutative |
| 16× | pow-pow |
| 13× | complex-mul-def associate--l+ |
| 12× | cube-div pow-flip |
| 11× | associate--l- |
| 10× | neg-log inv-pow |
| 9× | rem-exp-log pow-prod-up |
| 8× | difference-cubes exp-neg |
| 7× | distribute-neg-in pow-sqr exp-to-pow |
| 5× | expm1-log1p expm1-udef |
| 4× | rem-cube-cbrt un-div-inv log1p-udef associate-+r- log1p-expm1 *.c-commutative associate-+l- sin-mult |
| 3× | pow2 +.c-commutative pow-plus distribute-frac-neg hypot-def distribute-rgt-out-- rem-cbrt-cube |
| 2× | sin-sum complex-add-def cos-sum tan-sum |
| 1× | associate-+l+.c sin-cos-mult sqrt-unprod distribute-lft-neg-out associate--r- diff-atan sub-div diff-cos hypot-udef rem-square-sqrt distribute-rgt-out associate-*l*.c sqrt-undiv diff-sin |
Total 28.9b remaining (18.3%)
Threshold costs 5.9b (3.7%)
| 5.1b | 82.7% | quadp (p42, positive) |
| 4.5b | 84.1% | quadm (p42, negative) |
| 4.5b | 84.1% | quad2m (problem 3.2.1, negative) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 2.0b | 76.4% | 2nthrt (problem 3.4.6) |