| 50× | intervals |
| 15× | halfpoints |
| 42.9s | 56632× | body | 1280 | valid |
| 25.6s | 12488× | body | 2560 | valid |
| 18.7s | 37824× | body | 640 | valid |
| 6.1s | 67701× | body | 80 | valid |
| 4.9s | 18747× | body | 320 | valid |
| 3.0s | 44715× | body | 80 | nan |
| 2.8s | 9074× | body | 160 | valid |
| 1.3s | 1602× | body | 10240 | exit |
| 770.0ms | 37462× | pre | 80 | true |
| 609.0ms | 667× | body | 1280 | nan |
| 350.0ms | 649× | body | 640 | nan |
| 174.0ms | 243× | body | 5120 | valid |
| 110.0ms | 338× | body | 320 | nan |
| 35.0ms | 187× | body | 160 | nan |
370 calls:
| 2.0s | (log (exp (* (cbrt (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))) (cbrt (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))) |
| 1.4s | (- (* (/ (+ (tan x) (tan eps)) (- 1 (* (/ (* (tan x) (sin eps)) (cos eps)) (/ (* (tan x) (sin eps)) (cos eps))))) (+ 1 (/ (* (tan x) (sin eps)) (cos eps)))) (tan x)) |
| 757.0ms | (log (sqrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))) |
| 746.0ms | (log (sqrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))) |
| 580.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 116× | rewrite-expression-head |
370 calls:
| 2.6s | (- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) |
| 2.3s | (/ (log (- 1.0 x)) (- (- (log 1.0) (+ (* (* (/ (* x x) 1.0) (/ (* x x) 1.0)) 1/2) (* 1.0 (* x x)))) (log (- 1.0 x)))) |
| 1.4s | (* x (+ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))) |
| 1.0s | (/ (+ (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) 0.3333333333333333))) (+ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223))))) |
| 932.0ms | (/ x (/ (+ (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (- (* 0.3333333333333333 0.3333333333333333) (* (* (* x x) 0.022222222222222223) 0.3333333333333333))) (+ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* x x) 0.022222222222222223) (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)))))) |
| 4717× | *-un-lft-identity |
| 4415× | times-frac |
| 4316× | add-sqr-sqrt |
| 2763× | add-cube-cbrt |
| 2608× | sqrt-prod |
| 1702× | pow1 |
| 1338× | add-exp-log |
| 1242× | add-cbrt-cube |
| 728× | associate-*l* |
| 655× | add-log-exp |
| 609× | difference-of-squares |
| 521× | distribute-lft-out |
| 511× | distribute-lft-out-- |
| 504× | pow-prod-down |
| 432× | prod-exp |
| 413× | associate-/l* |
| 403× | cbrt-unprod |
| 342× | log-prod |
| 337× | associate-*r* |
| 271× | associate-/r* |
| 220× | flip3-- flip-- |
| 200× | div-exp |
| 199× | pow-prod-up log-pow |
| 195× | div-inv |
| 170× | cbrt-undiv |
| 155× | associate-/r/ |
| 140× | exp-prod |
| 139× | flip-+ flip3-+ |
| 135× | swap-sqr pow-sqr |
| 131× | cbrt-prod |
| 129× | sub-neg |
| 123× | associate-*r/ |
| 122× | unpow-prod-down |
| 120× | unswap-sqr |
| 109× | diff-log |
| 101× | sqrt-pow1 pow-plus |
| 86× | *-commutative |
| 83× | associate-*l/ |
| 81× | distribute-rgt-neg-in |
| 79× | sqrt-div |
| 75× | frac-times |
| 73× | distribute-lft-neg-in |
| 69× | distribute-rgt-in distribute-lft-in |
| 68× | sqr-pow |
| 66× | frac-2neg clear-num |
| 65× | pow2 |
| 61× | associate-/l/ |
| 59× | cbrt-div |
| 58× | pow1/2 |
| 55× | log-div |
| 53× | associate--l+ |
| 52× | pow-unpow |
| 49× | sum-log |
| 46× | frac-sub |
| 37× | pow1/3 rem-log-exp |
| 32× | associate--r+ |
| 31× | pow3 |
| 30× | cube-unmult div-sub |
| 28× | exp-sum +-commutative |
| 27× | sum-cubes rem-sqrt-square |
| 26× | tan-quot |
| 24× | neg-mul-1 |
| 21× | frac-add |
| 17× | pow-flip |
| 15× | exp-diff |
| 14× | complex-mul-def |
| 13× | cos-mult |
| 11× | associate-+l+ sqr-cos |
| 10× | associate--l- 1-exp pow-div rec-exp |
| 7× | neg-sub0 associate-+r+ sin-mult |
| 6× | pow-exp pow-to-exp |
| 5× | sin-sum sqrt-unprod sub-div |
| 4× | distribute-frac-neg pow-pow distribute-neg-frac rem-exp-log associate-+l- distribute-rgt-out-- |
| 3× | *.c-commutative inv-pow un-div-inv +.c-commutative cos-sum associate--r- |
| 2× | associate-*l*.c associate-+r- exp-neg neg-log exp-to-pow complex-add-def rem-square-sqrt tan-sum distribute-neg-in distribute-rgt-out |
| 1× | diff-atan frac-2neg.c sin-cos-mult distribute-rgt-neg-out difference-cubes diff-sin associate-+l+.c rem-cbrt-cube diff-cos |
Total 15.5b remaining (14.4%)
Threshold costs 5.5b (5.1%)
| 5.7b | 80.2% | quad2p (problem 3.2.1, positive) |
| 2.7b | 89.7% | quad2m (problem 3.2.1, negative) |
| 1.6b | 80.5% | 2nthrt (problem 3.4.6) |
| 0.9b | 87.3% | 2tan (problem 3.3.2) |
| 0.7b | 0% | qlog (example 3.10) |