4594 calls:
| 3.5s | (/ (* (* (* (* a c) 4) (* (* a c) 4)) (* (* a c) 4)) (* (* (* (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))) (* (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c))))))) (* (* 2 a) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))))) |
| 2.8s | (/ (* (* (* (* a c) 4) (* (* a c) 4)) (* (* a c) 4)) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))) (- (- b) (sqrt (- (* b b) (* 4 (* a c)))))))) |
| 1.5s | (* (* (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp (+ (+ x x) x)) -1)) (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (* (+ (exp x) 1) (* (+ (exp x) 1) (+ (exp x) 1))))) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp (+ (+ x x) x)) -1)) (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (* (+ (exp x) 1) (* (+ (exp x) 1) (+ (exp x) 1)))))) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp (+ (+ x x) x)) -1)) (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (* (+ (exp x) 1) (* (+ (exp x) 1) (+ (exp x) 1)))))) (/ (exp x) (* (* (- (* (+ 1 (exp x)) (+ 1 (exp x))) (+ (* (* (exp x) (exp x)) (- (exp x) (* (exp x) (exp x)))) (* (exp x) (exp x)))) (- (* (+ 1 (exp x)) (+ 1 (exp x))) (+ (* (* (exp x) (exp x)) (- (exp x) (* (exp x) (exp x)))) (* (exp x) (exp x))))) (- (* (+ 1 (exp x)) (+ 1 (exp x))) (+ (* (* (exp x) (exp x)) (- (exp x) (* (exp x) (exp x)))) (* (exp x) (exp x))))))) |
| 1.4s | (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))) |
| 1.4s | (/ (* (* (+ (pow (/ (cos y) (exp x)) 3) (pow (* (cos y) (exp x)) 3)) (+ (pow (/ (cos y) (exp x)) 3) (pow (* (cos y) (exp x)) 3))) (+ (pow (/ (cos y) (exp x)) 3) (pow (* (cos y) (exp x)) 3))) (* (* (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))) |
| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66899× | body | 1280 | valid |
| 40.1s | 17018× | body | 2560 | valid |
| 25.3s | 42195× | body | 640 | valid |
| 12.8s | 12774× | body | 10240 | exit |
| 11.6s | 93914× | body | 80 | valid |
| 8.9s | 20421× | body | 320 | valid |
| 8.0s | 63024× | body | 80 | nan |
| 3.1s | 11084× | body | 160 | valid |
| 2.4s | 47503× | pre | 80 | true |
| 666.0ms | 616× | body | 1280 | nan |
| 572.0ms | 474× | body | 5120 | valid |
| 509.0ms | 610× | body | 640 | nan |
| 177.0ms | 299× | body | 320 | nan |
| 55.0ms | 190× | body | 160 | nan |
389 calls:
| 1.2s | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (/ (* (tan x) (sin eps)) (cos eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 812.0ms | (- (* (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 441.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 338.0ms | (cbrt x) |
| 331.0ms | (cbrt (- x)) |
| 117× | rewrite-expression-head |
389 calls:
| 2.3s | (- (* (* (* (* (cbrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (sqrt (cbrt (+ x 1))))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (* (* (* (cbrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (sqrt (cbrt (+ x 1))))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) |
| 606.0ms | (* (+ (sqrt (- (* (* x x) -1/2) x)) 1) (* (* (cbrt (- (sqrt (- (* (* x x) -1/2) x)) 1)) (cbrt (- (sqrt (- (* (* x x) -1/2) x)) 1))) (cbrt (- (sqrt (- (* (* x x) -1/2) x)) 1)))) |
| 387.0ms | (* (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (exp (+ (+ x x) x)) -1)) (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (* (+ (exp x) 1) (* (+ (exp x) 1) (+ (exp x) 1))))) (/ (cbrt (exp x)) (- (* (+ 1 (exp x)) (+ 1 (exp x))) (+ (* (* (exp x) (exp x)) (- (exp x) (* (exp x) (exp x)))) (* (exp x) (exp x)))))) |
| 161.0ms | (- (* (* (* (cbrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (sqrt (cbrt (+ x 1))))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x)) |
| 145.0ms | (/ (+ (pow (/ (cos y) (exp x)) 3) (pow (* (cos y) (exp x)) 3)) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))) |
| 1235× | add-sqr-sqrt |
| 1166× | *-un-lft-identity |
| 941× | add-cube-cbrt |
| 689× | add-exp-log |
| 645× | add-cbrt-cube |
| 640× | pow1 |
| 632× | times-frac |
| 551× | add-log-exp |
| 378× | insert-posit16 |
| 317× | flip3-- flip-- |
| 264× | frac-times |
| 236× | associate-/l* |
| 230× | cbrt-div flip-+ associate-*r* flip3-+ |
| 214× | associate-*r/ |
| 208× | associate-/r/ |
| 185× | div-inv |
| 182× | sqrt-prod |
| 170× | associate-/r* cbrt-prod |
| 164× | associate-*l/ |
| 161× | associate-*l* |
| 135× | difference-of-squares |
| 126× | sqrt-div |
| 112× | prod-exp sub-neg |
| 106× | cbrt-unprod |
| 100× | frac-sub |
| 96× | distribute-lft-out-- |
| 94× | log-prod |
| 91× | pow-prod-down |
| 87× | *-commutative |
| 80× | tan-quot |
| 77× | associate-/l/ |
| 75× | frac-2neg clear-num |
| 64× | div-exp |
| 62× | distribute-lft-out |
| 61× | diff-log |
| 58× | cbrt-undiv |
| 57× | unpow-prod-down |
| 53× | cube-prod pow1/3 |
| 44× | associate--l+ |
| 41× | pow1/2 |
| 38× | distribute-rgt-in distribute-lft-in |
| 33× | pow-prod-up |
| 32× | +-commutative |
| 30× | sum-log |
| 29× | difference-of-sqr-1 |
| 27× | pow-plus |
| 25× | log-pow |
| 24× | div-sub |
| 23× | rem-sqrt-square |
| 22× | frac-add |
| 21× | cube-mult |
| 20× | pow2 |
| 19× | log-div |
| 18× | pow-flip neg-sub0 rec-exp |
| 17× | difference-cubes |
| 15× | associate--r+ |
| 14× | associate--l- rem-log-exp |
| 13× | complex-mul-def |
| 12× | inv-pow |
| 8× | pow-unpow |
| 7× | pow-exp associate-+l- |
| 6× | associate-+l+ rem-cube-cbrt associate-+r+ distribute-rgt-out-- pow-pow pow-to-exp |
| 5× | sqrt-unprod associate--r- distribute-lft-neg-in |
| 4× | unpow3 neg-mul-1 sum-cubes |
| 3× | *.c-commutative pow3 sin-mult distribute-rgt-neg-in +.c-commutative distribute-rgt-out |
| 2× | exp-diff sin-sum associate-+r- exp-neg complex-add-def sqr-sin rem-square-sqrt cos-sum tan-sum associate-*l*.c un-div-inv |
| 1× | diff-atan distribute-lft1-in distribute-frac-neg neg-log sub-div difference-of-sqr--1 frac-2neg-c distribute-neg-frac rem-exp-log diff-sin associate-+l+.c cube-div rem-cbrt-cube diff-cos unsub-neg exp-prod |
Total 21.1b remaining (17.2%)
| 4.4b | 83.2% | quad2p (problem 3.2.1, positive) |
| 3.7b | 86.8% | quadm (p42, negative) |
| 3.6b | 61.7% | expq3 (problem 3.4.2) |
| 1.5b | 84.2% | 2nthrt (problem 3.4.6) |
| 1.1b | 95.3% | quadp (p42, positive) |