| 56× | intervals |
| 16× | halfpoints |
| 51.8s | 66591× | body | 1280 | valid |
| 31.6s | 17465× | body | 2560 | valid |
| 18.0s | 42320× | body | 640 | valid |
| 11.1s | 13110× | body | 10240 | exit |
| 8.5s | 93621× | body | 80 | valid |
| 6.5s | 20970× | body | 320 | valid |
| 5.1s | 63689× | body | 80 | nan |
| 2.8s | 10714× | body | 160 | valid |
| 1.5s | 47471× | pre | 80 | true |
| 563.0ms | 658× | body | 1280 | nan |
| 410.0ms | 647× | body | 640 | nan |
| 365.0ms | 454× | body | 5120 | valid |
| 185.0ms | 407× | body | 320 | nan |
| 35.0ms | 178× | body | 160 | nan |
378 calls:
| 906.0ms | (fma (- (cbrt (/ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (cbrt (/ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (cbrt (/ 1.0 (sqrt (+ x 1.0))))))) |
| 866.0ms | (log (* (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))) |
| 708.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 655.0ms | (fma (- (/ 1.0 (sqrt (cbrt (+ x 1.0))))) (/ 1 (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (/ 1.0 (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) |
| 564.0ms | (/ (fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0)))) (* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))) |
| 121× | rewrite-expression-head |
378 calls:
| 356.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 285.0ms | (log (* (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))) |
| 273.0ms | (log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) |
| 247.0ms | (log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) |
| 178.0ms | (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) |
| 12145× | *-un-lft-identity |
| 11630× | times-frac |
| 10479× | add-sqr-sqrt |
| 8616× | add-cube-cbrt |
| 5743× | prod-diff |
| 4841× | sqrt-prod |
| 1401× | pow1 |
| 1188× | distribute-lft-out |
| 985× | add-exp-log |
| 887× | add-cbrt-cube |
| 771× | difference-of-squares |
| 726× | unpow-prod-down |
| 680× | div-inv |
| 655× | distribute-lft-out-- |
| 620× | add-log-exp |
| 584× | associate-/r/ |
| 544× | fma-neg |
| 490× | associate-/l* |
| 368× | expm1-log1p-u |
| 367× | log1p-expm1-u |
| 365× | pow-prod-up |
| 360× | cbrt-prod |
| 343× | associate-*l* |
| 342× | sqrt-div |
| 334× | associate-/r* |
| 287× | flip-+ flip3-+ |
| 274× | associate-*r* |
| 263× | flip3-- flip-- |
| 259× | log-prod |
| 248× | associate-+l+ |
| 242× | sqr-pow pow-plus distribute-rgt-neg-in |
| 227× | pow-prod-down |
| 220× | distribute-lft-neg-in |
| 201× | div-exp |
| 186× | prod-exp |
| 177× | cbrt-unprod fma-def |
| 174× | exp-sum |
| 170× | cbrt-div |
| 152× | cbrt-undiv |
| 141× | log-pow |
| 135× | pow-sqr |
| 125× | exp-prod |
| 105× | frac-times |
| 101× | diff-log |
| 96× | unswap-sqr sub-neg |
| 95× | associate-+r+ |
| 91× | associate-*r/ |
| 81× | pow2 |
| 79× | pow1/3 |
| 78× | swap-sqr |
| 76× | frac-2neg clear-num |
| 73× | neg-mul-1 |
| 71× | associate-*l/ |
| 62× | distribute-rgt-in distribute-lft-in |
| 57× | associate-/l/ |
| 52× | pow-unpow |
| 51× | *-commutative |
| 44× | sqrt-pow1 pow1/2 |
| 40× | fma-udef |
| 33× | rem-sqrt-square log-div |
| 29× | div-sub |
| 27× | tan-quot pow3 |
| 25× | sum-log |
| 19× | rem-log-exp hypot-def |
| 18× | exp-diff |
| 16× | 1-exp rec-exp +-commutative frac-add |
| 14× | neg-sub0 complex-mul-def |
| 13× | frac-sub |
| 11× | associate--l- associate--l+ |
| 9× | pow-exp neg-log pow-to-exp |
| 8× | quot-tan rem-exp-log |
| 7× | associate--r+ |
| 6× | distribute-neg-frac |
| 5× | associate-+r- exp-to-pow |
| 4× | pow-flip distribute-frac-neg pow-pow inv-pow |
| 3× | *.c-commutative +.c-commutative distribute-rgt-out-- |
| 2× | expm1-udef associate-*l*.c sin-sum cube-unmult sqrt-unprod tan-sum exp-neg associate-+l- rem-square-sqrt cos-sum rem-cbrt-cube distribute-neg-in unsub-neg pow-div complex-add-def |
| 1× | diff-atan cos-mult frac-2neg.c sin-cos-mult distribute-rgt-neg-out log1p-expm1 sin-mult sub-div un-div-inv diff-sin associate-+l+.c exp-lft-cube diff-cos log1p-udef |
Total 30.8b remaining (18.6%)
Threshold costs 7.1b (4.3%)
| 4.9b | 85.5% | quadp (p42, positive) |
| 4.7b | 85.9% | quad2p (problem 3.2.1, positive) |
| 3.9b | 86.6% | quad2m (problem 3.2.1, negative) |
| 3.8b | 86.6% | quadm (p42, negative) |
| 3.1b | 0% | expq3 (problem 3.4.2) |