| 56× | intervals |
| 16× | halfpoints |
| 1.0m | 66047× | body | 1280 | valid |
| 38.2s | 17458× | body | 2560 | valid |
| 26.3s | 41614× | body | 640 | valid |
| 14.0s | 12441× | body | 10240 | exit |
| 13.1s | 94467× | body | 80 | valid |
| 8.4s | 20802× | body | 320 | valid |
| 8.0s | 63206× | body | 80 | nan |
| 2.6s | 11064× | body | 160 | valid |
| 2.0s | 47444× | pre | 80 | true |
| 1.0s | 657× | body | 640 | nan |
| 728.0ms | 698× | body | 1280 | nan |
| 492.0ms | 418× | body | 5120 | valid |
| 226.0ms | 377× | body | 320 | nan |
| 93.0ms | 192× | body | 160 | nan |
349 calls:
| 1.2s | (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (* (pow (cbrt x) (/ 1 n)) (pow (* (cbrt x) (cbrt x)) (/ 1 n))))) |
| 619.0ms | (/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b))) |
| 520.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 504.0ms | (fma (/ (sin x) (* (cos x) (cos x))) (/ (sin x) (* x x)) (- (/ (/ (sin x) (cos x)) x) (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) |
| 483.0ms | (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a)))) |
| 114× | rewrite-expression-head |
349 calls:
| 256.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 164.0ms | (log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) |
| 140.0ms | (* (* x x) (* (* x x) (* x x))) |
| 134.0ms | (- (/ (/ (sin x) (cos x)) (- 1 (/ (* (/ (sin eps) (cos x)) (sin x)) (cos eps)))) (/ (sin x) (cos x))) |
| 132.0ms | (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a)) |
| 12865× | *-un-lft-identity |
| 12803× | times-frac |
| 11617× | add-sqr-sqrt |
| 8597× | add-cube-cbrt |
| 6061× | prod-diff |
| 2384× | sqrt-prod |
| 1983× | pow1 |
| 1499× | difference-of-squares |
| 1180× | add-exp-log |
| 1081× | distribute-lft-out-- |
| 1036× | add-cbrt-cube |
| 920× | distribute-lft-out |
| 866× | div-inv |
| 584× | fma-neg |
| 558× | associate-/r/ |
| 539× | pow-prod-up |
| 525× | add-log-exp |
| 389× | associate-/l* |
| 378× | pow-prod-down |
| 377× | associate-*l* |
| 359× | associate-*r* |
| 350× | associate-/r* |
| 345× | expm1-log1p-u |
| 343× | log1p-expm1-u |
| 342× | insert-posit16 |
| 307× | distribute-rgt-neg-in |
| 303× | unpow-prod-down |
| 279× | prod-exp |
| 271× | log-prod |
| 264× | div-exp |
| 256× | associate-+l+ pow-sqr |
| 255× | cbrt-unprod |
| 250× | flip3-- flip-- |
| 226× | pow-plus |
| 213× | distribute-lft-neg-in |
| 191× | cbrt-prod |
| 181× | cbrt-undiv |
| 177× | flip-+ flip3-+ |
| 161× | pow2 |
| 128× | sqrt-div |
| 126× | exp-sum |
| 122× | unswap-sqr |
| 117× | pow-unpow |
| 98× | sqr-pow |
| 83× | associate-*l/ |
| 75× | diff-log |
| 72× | sqrt-pow1 frac-2neg clear-num *-commutative |
| 71× | neg-mul-1 |
| 68× | distribute-rgt-in distribute-lft-in |
| 67× | fma-def sub-neg |
| 62× | pow1/2 |
| 51× | swap-sqr |
| 46× | pow1/3 associate-/l/ associate-*r/ |
| 44× | log-pow |
| 42× | 1-exp rec-exp rem-sqrt-square |
| 39× | frac-times |
| 36× | associate-+r+ |
| 29× | pow-flip |
| 28× | tan-quot |
| 27× | fma-udef exp-prod |
| 24× | hypot-def |
| 22× | sum-log |
| 21× | div-sub |
| 18× | inv-pow |
| 17× | log-div |
| 16× | +-commutative |
| 15× | cbrt-div |
| 14× | frac-sub |
| 13× | rem-log-exp |
| 11× | pow-pow |
| 10× | neg-sub0 pow-exp pow-to-exp |
| 9× | associate--l- difference-of-sqr-1 sin-mult frac-add |
| 8× | neg-log |
| 6× | pow-div distribute-rgt-out-- |
| 5× | expm1-udef exp-diff cos-mult associate--l+ |
| 4× | expm1-log1p log1p-udef hypot-1-def sqrt-unprod sub-div associate--r+ un-div-inv associate-+l- |
| 3× | associate-+r- log1p-expm1 pow3 sqr-sin cos-sum |
| 2× | sin-sum difference-of-sqr--1 cube-unmult +.c-commutative tan-sum hypot-udef exp-neg log1p-def rem-cbrt-cube |
| 1× | diff-atan frac-2neg.c sin-cos-mult rem-exp-log rem-square-sqrt diff-sin diff-cos expm1-def distribute-rgt-out |
Total 26.3b remaining (21%)
Threshold costs 3.9b (3.1%)
| 5.1b | 81.2% | quad2p (problem 3.2.1, positive) |
| 4.7b | 82.9% | quadm (p42, negative) |
| 4.7b | 82.9% | quad2m (problem 3.2.1, negative) |
| 3.6b | 86.9% | quadp (p42, positive) |
| 3.2b | 0% | expq3 (problem 3.4.2) |