| 56× | intervals |
| 16× | halfpoints |
| 51.5s | 67101× | body | 1280 | valid |
| 34.2s | 17627× | body | 2560 | valid |
| 19.2s | 41943× | body | 640 | valid |
| 11.1s | 12665× | body | 10240 | exit |
| 7.9s | 93568× | body | 80 | valid |
| 6.4s | 20624× | body | 320 | valid |
| 5.7s | 63583× | body | 80 | nan |
| 1.7s | 10562× | body | 160 | valid |
| 1.1s | 47456× | pre | 80 | true |
| 736.0ms | 425× | body | 5120 | valid |
| 640.0ms | 677× | body | 1280 | nan |
| 403.0ms | 699× | body | 640 | nan |
| 114.0ms | 349× | body | 320 | nan |
| 34.0ms | 172× | body | 160 | nan |
398 calls:
| 2.5s | (- (* (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps)))))) (tan x)) |
| 2.5s | (- (* (cos x) (* (+ (tan x) (tan eps)) (+ (pow (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) 3) 1))) (* (- 1 (pow (* (tan x) (tan eps)) 3)) (* (sin x) (+ (* (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) (- (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) 1)) 1)))) |
| 2.0s | (cbrt (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 1.8s | (cbrt (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 1.5s | (cbrt (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))) |
| 122× | rewrite-expression-head |
398 calls:
| 5.2s | (- (* (cos x) (* (+ (tan x) (tan eps)) (+ (pow (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) 3) 1))) (* (- 1 (pow (* (tan x) (tan eps)) 3)) (* (sin x) (+ (* (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) (- (* (* (tan eps) (tan x)) (+ (* (tan eps) (tan x)) 1)) 1)) 1)))) |
| 2.7s | (- (- (+ (+ (/ 0.5 n) 1.0) (* (log n) 1.0)) (/ 0.16666666666666669 (* n n))) 1.0) |
| 684.0ms | (* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (* (pow 1.0 2) (- (* (* 1.0 x) (* 1.0 x)) (pow (log 1.0) 2))) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2))) |
| 439.0ms | (* (* (- x 1.0) x) (+ x 1.0)) |
| 425.0ms | (* (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) |
| 3944× | *-un-lft-identity |
| 3661× | add-sqr-sqrt |
| 2678× | times-frac |
| 2097× | add-cube-cbrt |
| 1317× | add-exp-log |
| 1102× | sqrt-prod |
| 982× | add-cbrt-cube |
| 819× | pow1 |
| 735× | associate-*r* |
| 697× | add-log-exp |
| 586× | associate-*l* |
| 506× | distribute-lft-out |
| 497× | unpow-prod-down |
| 485× | difference-of-squares |
| 483× | distribute-lft-out-- |
| 403× | log-prod |
| 357× | prod-exp |
| 348× | associate-*r/ |
| 318× | associate-/l* |
| 281× | flip-- flip3-- |
| 280× | cbrt-prod |
| 276× | flip-+ flip3-+ |
| 272× | unswap-sqr |
| 271× | associate-/r* |
| 225× | div-exp |
| 219× | associate-*l/ |
| 211× | frac-times |
| 208× | sqr-pow cbrt-unprod |
| 177× | frac-sub |
| 166× | associate-/r/ |
| 157× | div-inv |
| 155× | sqrt-div |
| 149× | swap-sqr |
| 148× | cbrt-undiv |
| 127× | tan-quot |
| 126× | pow-prod-down |
| 121× | sqrt-pow1 |
| 120× | cube-prod |
| 117× | diff-log |
| 113× | log-pow |
| 109× | sub-neg |
| 94× | pow1/2 |
| 90× | unpow2 |
| 89× | *-commutative |
| 87× | associate-/l/ |
| 84× | pow-exp |
| 81× | cbrt-div |
| 80× | pow-unpow |
| 74× | pow-to-exp |
| 67× | associate-+l+ distribute-rgt-neg-in |
| 64× | log-div |
| 62× | clear-num frac-2neg |
| 54× | distribute-rgt-in distribute-lft-in |
| 52× | sum-log |
| 48× | pow1/3 exp-sum |
| 41× | pow-prod-up |
| 38× | associate--l+ |
| 37× | rem-sqrt-square exp-prod |
| 34× | rem-log-exp |
| 32× | frac-add |
| 31× | associate--r+ |
| 27× | pow-sqr +-commutative |
| 25× | unpow-prod-up |
| 24× | cube-div 1-exp |
| 23× | div-sub |
| 21× | unpow3 cube-mult rec-exp |
| 20× | pow-pow |
| 15× | rem-cube-cbrt |
| 14× | exp-diff neg-sub0 sum-cubes |
| 13× | associate--l- complex-mul-def associate-+r+ |
| 11× | pow-flip neg-log |
| 10× | pow-plus |
| 9× | pow2 |
| 8× | sqrt-unprod |
| 6× | associate-+l- |
| 5× | sin-sum inv-pow rem-square-sqrt exp-to-pow |
| 4× | un-div-inv rem-exp-log distribute-neg-in *.c-commutative pow-sub |
| 3× | associate-+r- +.c-commutative |
| 2× | cos-sum sin-cos-mult e-exp-1 exp-neg complex-add-def sin-mult associate--r- rem-cbrt-cube tan-sum |
| 1× | pow3 associate-+l+.c diff-atan diff-cos unsub-neg associate-*l*.c frac-2neg.c diff-sin |
Total 27.3b remaining (21.5%)
Threshold costs 5.7b (4.5%)
| 4.5b | 83.3% | quad2p (problem 3.2.1, positive) |
| 4.3b | 84.5% | quadp (p42, positive) |
| 4.0b | 85.9% | quadm (p42, negative) |
| 4.0b | 85.9% | quad2m (problem 3.2.1, negative) |
| 3.2b | 0% | expq3 (problem 3.4.2) |