18090 calls:
| 2.0s | (/ (* (* (* (* a -4) c) (* (* a -4) c)) (* (* a -4) c)) (* (* (* 2 2) 2) (* (* (+ (sqrt (fma b b (* (* a c) -4))) b) (+ (sqrt (fma b b (* (* a c) -4))) b)) (+ (sqrt (fma b b (* (* a c) -4))) b)))) |
| 2.0s | (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))) |
| 1.8s | (/ (* (* (* (* a -4) c) (* (* a -4) c)) (* (* a -4) c)) (* (* (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b)) (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b))) (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b)))) |
| 1.8s | (/ (* (* (* (* a a) a) (* (* -4 -4) -4)) (* (* c c) c)) (* (* (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b)) (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b))) (* 2 (+ (sqrt (fma b b (* (* a c) -4))) b)))) |
| 55× | intervals |
| 16× | halfpoints |
| 1.1m | 65422× | body | 1280 | valid |
| 42.1s | 16928× | body | 2560 | valid |
| 27.7s | 41966× | body | 640 | valid |
| 15.1s | 12720× | body | 10240 | exit |
| 11.8s | 87590× | body | 80 | valid |
| 9.2s | 20421× | body | 320 | valid |
| 5.5s | 60758× | body | 80 | nan |
| 3.5s | 10533× | body | 160 | valid |
| 1.9s | 47219× | pre | 80 | true |
| 1.3s | 699× | body | 1280 | nan |
| 484.0ms | 625× | body | 640 | nan |
| 330.0ms | 340× | body | 5120 | valid |
| 185.0ms | 347× | body | 320 | nan |
| 58.0ms | 176× | body | 160 | nan |
370 calls:
| 828.0ms | (/ (- x (sin x)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (tan x)))) |
| 725.0ms | (fma (+ (tan x) (tan eps)) (/ 1 (/ (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps)))) (+ 1 (* (tan x) (tan eps))))) (- (tan x))) |
| 687.0ms | (cbrt c) |
| 601.0ms | (/ (/ (* (expm1 (* (+ a b) eps)) eps) (expm1 (* eps a))) (expm1 (* eps b))) |
| 597.0ms | (log (exp (sqrt (- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n)))))))) |
| 116× | rewrite-expression-head |
370 calls:
| 208.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 192.0ms | (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) |
| 156.0ms | (log (exp (sqrt (- (pow (+ x 1) (/ 1 n)) (log (exp (pow x (/ 1 n)))))))) |
| 152.0ms | (+ (- (/ 1 (+ 1 x)) (/ 2 x)) (+ (fma (- (/ (sqrt 2) x)) (/ (sqrt 2) 1) (* (/ (sqrt 2) x) (/ (sqrt 2) 1))) (/ 1 (- x 1)))) |
| 127.0ms | (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a)) |
| 35462× | times-frac |
| 23130× | *-un-lft-identity |
| 21374× | add-sqr-sqrt |
| 20082× | add-cube-cbrt |
| 11331× | prod-diff |
| 5796× | sqrt-prod |
| 2255× | distribute-rgt-neg-in |
| 2224× | distribute-lft-neg-in |
| 1424× | div-inv |
| 1392× | distribute-lft-out |
| 1370× | pow1 |
| 1121× | add-exp-log |
| 1006× | add-cbrt-cube |
| 741× | neg-mul-1 |
| 702× | unpow-prod-down |
| 645× | cbrt-prod |
| 543× | add-log-exp |
| 499× | associate-*l* |
| 482× | fma-neg |
| 472× | associate-+l+ |
| 406× | associate-*r* |
| 375× | difference-of-squares |
| 372× | associate-/l* |
| 368× | log1p-expm1-u |
| 363× | expm1-log1p-u |
| 362× | insert-posit16 |
| 332× | associate-/r* |
| 308× | log-prod |
| 280× | swap-sqr |
| 267× | associate-/r/ |
| 265× | distribute-lft-out-- |
| 260× | prod-exp |
| 254× | pow-prod-down |
| 250× | pow-prod-up |
| 231× | cbrt-unprod |
| 213× | div-exp |
| 208× | sqr-pow |
| 207× | cube-prod |
| 179× | sqrt-pow1 unswap-sqr |
| 174× | flip-+ flip3-+ |
| 169× | cbrt-undiv |
| 146× | pow-sqr |
| 138× | exp-prod |
| 136× | sqrt-div |
| 129× | pow1/2 |
| 126× | log-pow |
| 125× | fma-def |
| 110× | pow-plus |
| 100× | flip3-- flip-- |
| 97× | pow-unpow |
| 76× | *-commutative |
| 75× | pow2 |
| 73× | tan-quot associate-*r/ |
| 71× | frac-2neg clear-num |
| 70× | frac-times |
| 66× | diff-log |
| 65× | pow1/3 |
| 64× | associate-*l/ |
| 63× | sub-neg |
| 59× | associate-/l/ |
| 58× | exp-sum |
| 55× | frac-sub |
| 52× | pow-flip |
| 50× | cbrt-div |
| 40× | rem-sqrt-square |
| 36× | unpow3 cube-mult |
| 32× | fma-udef |
| 30× | frac-add |
| 29× | sum-log 1-exp rec-exp |
| 22× | inv-pow div-sub |
| 21× | un-div-inv |
| 19× | rem-log-exp |
| 18× | +-commutative |
| 14× | associate--l+ |
| 12× | pow-exp |
| 10× | pow-pow pow-to-exp sin-mult |
| 9× | distribute-rgt-in difference-of-sqr-1 distribute-lft-in |
| 8× | associate--l- associate--r+ hypot-def log-div |
| 7× | neg-sub0 expm1-udef distribute-rgt-out-- |
| 6× | expm1-log1p sqrt-unprod |
| 5× | sub-div |
| 4× | pow3 distribute-neg-frac rem-square-sqrt e-exp-1 |
| 3× | associate-+r+ log1p-udef neg-log |
| 2× | pow-div sin-sum log1p-expm1 distribute-frac-neg +.c-commutative sqr-sin tan-sum frac-2neg-c exp-to-pow rem-exp-log associate-+l- log1p-def cos-sum rem-cbrt-cube |
| 1× | distribute-lft-neg-out exp-diff diff-atan rem-cube-cbrt sqrt-undiv sub0-neg diff-sin difference-cubes diff-cos expm1-def |
Total 19.0b remaining (16.7%)
| 5.0b | 82.6% | quad2m (problem 3.2.1, negative) |
| 3.7b | -9.6% | expq3 (problem 3.4.2) |
| 3.4b | 85.7% | quadp (p42, positive) |
| 1.3b | 88.7% | 2nthrt (problem 3.4.6) |
| 0.9b | 86.3% | 2tan (problem 3.3.2) |