18458 calls:
| 1.9s | (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))) |
| 1.8s | (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))) |
| 1.2s | (/ (* (* (* (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))))) |
| 1.2s | (/ (* (* (* (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))))) |
| 1.1s | (/ (* (* (* (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 | 67025× | body | 1280 | valid |
| 38.0s | 17549× | body | 2560 | valid |
| 27.0s | 41666× | body | 640 | valid |
| 13.0s | 12910× | body | 10240 | exit |
| 11.3s | 93927× | body | 80 | valid |
| 8.9s | 21014× | body | 320 | valid |
| 6.7s | 62901× | body | 80 | nan |
| 2.8s | 10717× | body | 160 | valid |
| 1.9s | 47530× | pre | 80 | true |
| 1.0s | 631× | body | 1280 | nan |
| 628.0ms | 467× | body | 5120 | valid |
| 525.0ms | 658× | body | 640 | nan |
| 175.0ms | 369× | body | 320 | nan |
| 53.0ms | 192× | body | 160 | nan |
353 calls:
| 945.0ms | (- (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)) |
| 861.0ms | (/ (expm1 (* eps b)) (/ (cbrt (expm1 (* (+ a b) eps))) (/ (cbrt (expm1 (* eps a))) eps))) |
| 790.0ms | (/ (- x (sin x)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (tan x)))) |
| 748.0ms | (/ (- x (sin x)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (tan x)))) |
| 722.0ms | (/ (- x (sin x)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (tan x)))) |
| 114× | rewrite-expression-head |
353 calls:
| 406.0ms | (pow (+ x 1) (/ 1 n)) |
| 229.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 217.0ms | (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) |
| 168.0ms | (+ (- (/ 1 (+ 1 x)) (/ 2 x)) (+ (fma (- (/ 2 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 2 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (/ 1 (- x 1)))) |
| 142.0ms | (- (/ 1 (/ a (sqrt (- (* b_2 b_2) (* a c))))) (/ b_2 a)) |
| 10917× | times-frac |
| 9532× | *-un-lft-identity |
| 9176× | add-sqr-sqrt |
| 7685× | add-cube-cbrt |
| 4266× | prod-diff |
| 2157× | sqrt-prod |
| 1270× | pow1 |
| 1071× | add-exp-log |
| 1053× | cbrt-prod |
| 945× | add-cbrt-cube |
| 663× | div-inv |
| 595× | distribute-lft-out |
| 535× | add-log-exp |
| 521× | difference-of-squares |
| 472× | associate-+l+ |
| 438× | associate-/r* |
| 435× | associate-*l* |
| 433× | fma-neg |
| 432× | associate-*r* |
| 362× | associate-/r/ |
| 354× | associate-/l* |
| 350× | log1p-expm1-u |
| 347× | expm1-log1p-u |
| 346× | insert-posit16 |
| 334× | unpow-prod-down |
| 324× | distribute-lft-out-- |
| 277× | pow-prod-down |
| 246× | prod-exp |
| 243× | swap-sqr |
| 225× | cbrt-unprod |
| 216× | sqrt-div |
| 213× | pow-unpow |
| 199× | div-exp |
| 173× | distribute-rgt-neg-in |
| 167× | pow-prod-up |
| 164× | tan-quot |
| 163× | flip-+ unswap-sqr flip3-+ |
| 150× | cbrt-undiv |
| 145× | flip3-- flip-- |
| 133× | distribute-lft-neg-in |
| 120× | fma-def |
| 115× | pow-sqr |
| 113× | associate-*r/ |
| 108× | log-prod |
| 103× | frac-times |
| 98× | sqr-pow |
| 87× | pow-plus |
| 80× | pow1/3 |
| 78× | associate-*l/ |
| 75× | *-commutative |
| 68× | diff-log |
| 67× | sqrt-pow1 |
| 64× | pow2 pow1/2 |
| 63× | sub-neg |
| 59× | frac-2neg clear-num |
| 44× | neg-mul-1 |
| 40× | cbrt-div associate-/l/ |
| 37× | log-pow |
| 33× | sum-log |
| 30× | rem-sqrt-square fma-udef |
| 28× | pow-flip div-sub |
| 26× | 1-exp rec-exp |
| 23× | frac-sub |
| 19× | +-commutative |
| 15× | associate--l+ distribute-rgt-in distribute-lft-in frac-add |
| 14× | inv-pow rem-log-exp |
| 13× | pow-exp exp-sum pow-to-exp |
| 11× | exp-prod |
| 10× | difference-of-sqr-1 associate--r+ hypot-def log-div |
| 9× | expm1-udef pow-pow |
| 8× | associate--l- |
| 7× | neg-sub0 neg-log |
| 6× | sqrt-unprod |
| 5× | expm1-log1p |
| 4× | associate-+r+ distribute-neg-frac log1p-def sin-mult |
| 3× | pow3 sub-div associate-+l- rem-square-sqrt |
| 2× | cos-mult sin-sum log1p-udef +.c-commutative sqr-sin un-div-inv tan-sum cos-sum rem-cbrt-cube expm1-def e-exp-1 |
| 1× | remove-posit16 exp-diff diff-atan log1p-expm1 log-rec distribute-lft-neg-out frac-2neg-c hypot-udef distribute-rgt-out-- diff-sin diff-cos |
Total 25.2b remaining (18.7%)
| 4.7b | 83.5% | quad2p (problem 3.2.1, positive) |
| 4.6b | 83.4% | quadp (p42, positive) |
| 4.5b | 84.1% | quadm (p42, negative) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 2.2b | 75.8% | 2tan (problem 3.3.2) |