5708 calls:
| 1.8s | (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))) |
| 1.7s | (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))) |
| 1.1s | (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) |
| 949.0ms | (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) |
| 939.0ms | (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (* (* x x) (+ 1 (cos x))) (* (* x x) (+ 1 (cos x)))) (* (* x x) (+ 1 (cos x))))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.0m | 66717× | body | 1280 | valid |
| 37.7s | 17445× | body | 2560 | valid |
| 25.5s | 42249× | body | 640 | valid |
| 13.3s | 12614× | body | 10240 | exit |
| 11.6s | 93619× | body | 80 | valid |
| 8.5s | 20720× | body | 320 | valid |
| 6.9s | 62794× | body | 80 | nan |
| 3.1s | 10575× | body | 160 | valid |
| 2.1s | 47386× | pre | 80 | true |
| 924.0ms | 628× | body | 1280 | nan |
| 586.0ms | 672× | body | 640 | nan |
| 536.0ms | 439× | body | 5120 | valid |
| 215.0ms | 362× | body | 320 | nan |
| 58.0ms | 193× | body | 160 | nan |
348 calls:
| 1.1s | (- (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))) |
| 997.0ms | (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))) |
| 473.0ms | (/ (/ (* (expm1 (* (+ a b) eps)) eps) (expm1 (* eps b))) (expm1 (* eps a))) |
| 452.0ms | (* (sqrt (fma 1/3 (* x x) 2)) (* (* (sqrt (sqrt (fma 1/3 (* x x) 2))) (sqrt (sqrt (fma 1/3 (* x x) 2)))) x)) |
| 423.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
Total 20.2b remaining (16.1%)
| 4.3b | 84.3% | quadm (p42, negative) |
| 4.3b | 84.7% | quadp (p42, positive) |
| 3.2b | 4.5% | expq3 (problem 3.4.2) |
| 1.6b | 86.8% | 2nthrt (problem 3.4.6) |
| 1.0b | 93.1% | 2tan (problem 3.3.2) |
| 112× | rewrite-expression-head |
348 calls:
| 72.0ms | (/ (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (+ (* (/ 1 a) (/ 1 a)) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) |
| 60.0ms | (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) |
| 59.0ms | (/ (/ (+ (- (- b) (sqrt (fma c (* -4 a) (* b b)))) 0) 2) a) |
| 56.0ms | (* (/ (+ (- (- b) (sqrt (fma c (* -4 a) (* b b)))) 0) 2) (/ 1 a)) |
| 55.0ms | (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) |
| 1619× | *-un-lft-identity |
| 1477× | add-sqr-sqrt |
| 1320× | add-cube-cbrt |
| 788× | prod-diff |
| 619× | pow1 |
| 587× | add-exp-log |
| 549× | add-cbrt-cube |
| 479× | add-log-exp |
| 473× | times-frac |
| 360× | sqrt-prod |
| 347× | log1p-expm1-u |
| 344× | div-inv |
| 343× | expm1-log1p-u |
| 342× | insert-posit16 |
| 275× | associate-/r/ |
| 253× | associate-*r/ |
| 244× | associate-*l* |
| 227× | fma-neg |
| 213× | frac-times |
| 211× | associate-*r* |
| 209× | frac-add |
| 207× | associate-*l/ |
| 169× | un-div-inv |
| 156× | distribute-lft-out |
| 155× | frac-sub |
| 150× | associate-/l* |
| 145× | unpow-prod-down |
| 137× | flip-+ |
| 136× | flip3-+ |
| 135× | flip-- |
| 134× | flip3-- |
| 126× | associate-/r* |
| 112× | cbrt-prod |
| 110× | fma-def |
| 100× | pow-prod-down |
| 91× | prod-exp |
| 90× | cube-prod cbrt-div |
| 86× | tan-quot |
| 85× | sqrt-div |
| 83× | cbrt-unprod |
| 68× | sub-neg |
| 67× | pow1/2 |
| 66× | difference-of-squares |
| 64× | *-commutative |
| 61× | frac-2neg clear-num |
| 56× | sub-div distribute-lft-out-- |
| 50× | neg-mul-1 |
| 48× | diff-log |
| 42× | fma-udef |
| 40× | pow-prod-up |
| 37× | associate-/l/ |
| 36× | log-prod |
| 35× | div-exp pow1/3 |
| 32× | cbrt-undiv |
| 30× | associate-+l+ |
| 29× | rem-sqrt-square |
| 28× | +-commutative pow-plus |
| 25× | pow-flip rec-exp |
| 24× | pow2 |
| 23× | sum-log |
| 21× | div-sub |
| 18× | distribute-rgt-neg-in inv-pow log-pow distribute-lft-neg-in |
| 16× | pow-unpow |
| 12× | neg-sub0 log-div |
| 10× | sqrt-unprod |
| 9× | associate--l- |
| 7× | expm1-udef associate-+r+ rem-square-sqrt rem-log-exp |
| 6× | expm1-log1p distribute-rgt-out-- sin-mult associate--l+ sum-cubes |
| 5× | difference-of-sqr-1 pow-to-exp sqr-sin associate-+l- |
| 4× | pow3 distribute-rgt-in distribute-lft-in cube-div cube-mult |
| 3× | log1p-expm1 unpow3 rem-cbrt-cube log1p-udef |
| 2× | exp-diff sin-sum exp-neg pow-exp distribute-frac-neg +.c-commutative pow-pow tan-sum log1p-def cos-sum |
| 1× | diff-atan associate-+r- rem-cube-cbrt associate--r+ sub0-neg diff-sin diff-cos associate--r- expm1-def |