4846 calls:
| 2.1s | (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))) |
| 1.9s | (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))) |
| 1.5s | (/ (* (* (- (* a c)) (- (* a c))) (- (* a c))) (* (* (* a (+ (sqrt (- (* b_2 b_2) (* a c))) b_2)) (* a (+ (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* a (+ (sqrt (- (* b_2 b_2) (* a c))) b_2)))) |
| 1.0s | (fma (* (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))))) (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (- (* (/ (cbrt (sin x)) (sqrt (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (cos x)))))) |
| 1.0s | (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 67314× | body | 1280 | valid |
| 37.1s | 17433× | body | 2560 | valid |
| 25.7s | 41943× | body | 640 | valid |
| 13.1s | 12693× | body | 10240 | exit |
| 11.1s | 93816× | body | 80 | valid |
| 8.2s | 20435× | body | 320 | valid |
| 6.8s | 63373× | body | 80 | nan |
| 3.1s | 10580× | body | 160 | valid |
| 2.3s | 47371× | pre | 80 | true |
| 787.0ms | 693× | body | 1280 | nan |
| 509.0ms | 447× | body | 5120 | valid |
| 471.0ms | 629× | body | 640 | nan |
| 151.0ms | 327× | body | 320 | nan |
| 54.0ms | 189× | body | 160 | nan |
347 calls:
| 1.5s | (- (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))) (/ (sin x) (cos x))) |
| 1.1s | (fma (/ (+ (tan x) (tan eps)) (- 1 (* (* (* (tan eps) (tan x)) (* (tan eps) (tan x))) (* (tan eps) (tan x))))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x))) |
| 1.1s | (fma (- (cbrt (/ 2 x))) (* (cbrt (/ 2 x)) (cbrt (/ 2 x))) (* (cbrt (/ 2 x)) (* (cbrt (/ 2 x)) (cbrt (/ 2 x))))) |
| 661.0ms | (* (sqrt (sqrt (fma 1/45 (* x x) 1/3))) x) |
| 614.0ms | (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a)))) |
Total 26.8b remaining (16.7%)
| 4.5b | 86.8% | quadm (p42, negative) |
| 4.3b | 81.8% | quad2m (problem 3.2.1, negative) |
| 4.2b | 84.9% | quadp (p42, positive) |
| 3.3b | 6.2% | expq3 (problem 3.4.2) |
| 1.4b | 88.3% | 2nthrt (problem 3.4.6) |
| 114× | rewrite-expression-head |
347 calls:
| 84.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (+ (fma (- (cbrt (/ 2 x))) (* (cbrt (/ 2 x)) (cbrt (/ 2 x))) (* (cbrt (/ 2 x)) (* (cbrt (/ 2 x)) (cbrt (/ 2 x))))) (/ 1 (- x 1)))) |
| 82.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 74.0ms | (cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps)))) |
| 60.0ms | (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) |
| 54.0ms | (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)) |
| 1406× | *-un-lft-identity |
| 1365× | add-sqr-sqrt |
| 1225× | add-cube-cbrt |
| 617× | pow1 |
| 616× | add-exp-log |
| 599× | prod-diff |
| 567× | add-cbrt-cube |
| 442× | add-log-exp |
| 431× | times-frac |
| 347× | log1p-expm1-u |
| 341× | expm1-log1p-u |
| 340× | insert-posit16 |
| 281× | sqrt-prod |
| 257× | div-inv |
| 244× | associate-*l* |
| 203× | fma-neg |
| 198× | associate-*r* |
| 181× | cbrt-prod |
| 151× | associate-/r* |
| 129× | associate-/l* |
| 128× | sqrt-div flip-+ flip3-+ |
| 117× | associate-/r/ |
| 97× | pow-prod-down |
| 93× | prod-exp |
| 91× | associate-*r/ |
| 90× | flip3-- flip-- |
| 88× | tan-quot cbrt-unprod |
| 78× | frac-times |
| 62× | pow1/3 frac-2neg clear-num distribute-lft-out-- |
| 60× | pow1/2 |
| 59× | *-commutative sub-neg |
| 58× | unpow-prod-down associate-*l/ |
| 57× | cbrt-div |
| 54× | associate-+l+ distribute-lft-out |
| 53× | div-exp |
| 51× | fma-def |
| 50× | difference-of-squares |
| 48× | log-prod |
| 45× | cbrt-undiv pow-prod-up |
| 40× | diff-log |
| 37× | fma-udef |
| 33× | pow-plus rem-sqrt-square |
| 30× | rec-exp neg-mul-1 |
| 29× | associate-/l/ |
| 27× | pow-flip |
| 26× | pow2 |
| 25× | frac-sub |
| 23× | div-sub |
| 20× | distribute-rgt-neg-in distribute-lft-neg-in |
| 19× | inv-pow |
| 17× | log-pow |
| 16× | pow-unpow frac-add |
| 15× | +-commutative |
| 14× | sum-log |
| 13× | exp-sum |
| 10× | neg-sub0 expm1-udef log-div |
| 8× | expm1-log1p sqrt-unprod rem-log-exp |
| 7× | associate--l- exp-prod associate--l+ |
| 5× | pow3 difference-of-sqr-1 log1p-udef |
| 4× | associate-+r+ log1p-expm1 pow-to-exp associate-+l- sin-mult |
| 3× | quot-tan distribute-rgt-in sub-div rem-square-sqrt cos-sum distribute-lft-in rem-cbrt-cube |
| 2× | exp-diff sin-sum log1p-def exp-neg pow-exp distribute-frac-neg +.c-commutative sqr-sin pow-pow rem-exp-log tan-sum distribute-rgt-out-- |
| 1× | diff-atan associate--r+ frac-2neg-c diff-sin diff-cos un-div-inv associate--r- expm1-def |