| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66504× | body | 1280 | valid |
| 40.5s | 17410× | body | 2560 | valid |
| 27.3s | 41582× | body | 640 | valid |
| 14.4s | 12605× | body | 10240 | exit |
| 13.1s | 94265× | body | 80 | valid |
| 9.2s | 20853× | body | 320 | valid |
| 6.1s | 63734× | body | 80 | nan |
| 3.3s | 10869× | body | 160 | valid |
| 2.8s | 47349× | pre | 80 | true |
| 1.2s | 638× | body | 1280 | nan |
| 609.0ms | 492× | body | 5120 | valid |
| 548.0ms | 372× | body | 320 | nan |
| 472.0ms | 631× | body | 640 | nan |
| 55.0ms | 210× | body | 160 | nan |
360 calls:
| 1.1s | (sqrt (/ 1 (+ (hypot (sqrt x) 1) (sqrt x)))) |
| 959.0ms | (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a)))) |
| 797.0ms | (log (exp (* (cbrt (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1)))) (cbrt (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))))))) |
| 733.0ms | (/ 1 (+ (hypot (sqrt x) 1) (sqrt x))) |
| 706.0ms | (/ 1 (+ (hypot (sqrt x) 1) (sqrt x))) |
| 116× | rewrite-expression-head |
360 calls:
| 443.0ms | (/ (- (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) (* (/ 1 (- x 1)) (/ 1 (- x 1)))) (- (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))) |
| 416.0ms | (* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3))) |
| 294.0ms | (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) |
| 272.0ms | (* (sqrt (/ (fma (- (exp x) 2) (- (exp x) 2) (/ (/ -1 (exp x)) (exp x))) (+ (- (exp x) 2) (/ -1 (exp x))))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) |
| 233.0ms | (* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) |
| 12309× | *-un-lft-identity |
| 11413× | times-frac |
| 9239× | add-sqr-sqrt |
| 7492× | add-cube-cbrt |
| 4650× | prod-diff |
| 2470× | sqrt-prod |
| 1870× | distribute-lft-out |
| 1636× | pow1 |
| 1297× | add-exp-log |
| 1068× | add-cbrt-cube |
| 1028× | div-inv |
| 660× | distribute-lft-out-- |
| 571× | difference-of-squares |
| 542× | add-log-exp |
| 533× | associate-/r/ |
| 528× | associate--l+ |
| 503× | associate-+l+ |
| 487× | associate-*l* |
| 486× | distribute-rgt-in distribute-lft-in |
| 474× | associate-*r* |
| 443× | pow-prod-up |
| 389× | associate-/r* |
| 365× | associate-/l* |
| 355× | fma-neg |
| 354× | expm1-log1p-u |
| 353× | log1p-expm1-u |
| 352× | insert-posit16 |
| 307× | prod-exp |
| 301× | div-exp |
| 290× | pow-prod-down |
| 273× | log-prod frac-sub pow-plus |
| 253× | flip-+ flip3-+ |
| 249× | cbrt-unprod |
| 246× | cbrt-prod |
| 235× | flip3-- flip-- |
| 224× | swap-sqr |
| 214× | unswap-sqr |
| 205× | cbrt-undiv |
| 172× | frac-times |
| 170× | distribute-rgt-neg-in |
| 159× | pow-sqr |
| 157× | distribute-rgt1-in distribute-rgt-out |
| 150× | distribute-lft-neg-in |
| 148× | sqrt-div |
| 135× | pow-flip |
| 132× | associate-/l/ |
| 127× | associate-*l/ |
| 123× | unpow-prod-down |
| 119× | associate-*r/ |
| 107× | sqrt-pow1 |
| 104× | pow-unpow |
| 99× | fma-def |
| 97× | pow2 |
| 84× | frac-2neg clear-num |
| 77× | pow1/2 diff-log |
| 74× | associate-+r+ sub-neg |
| 68× | pow1/3 |
| 66× | *-commutative |
| 63× | 1-exp rec-exp |
| 60× | inv-pow |
| 51× | un-div-inv |
| 50× | neg-mul-1 |
| 49× | log-pow |
| 40× | sqr-pow |
| 35× | difference-of-sqr-1 |
| 32× | rem-sqrt-square |
| 31× | pow3 |
| 29× | tan-quot |
| 27× | sum-log fma-udef |
| 26× | exp-prod |
| 24× | div-sub |
| 18× | +-commutative |
| 17× | cbrt-div |
| 16× | rem-log-exp log-div |
| 14× | frac-add |
| 12× | associate--l- |
| 11× | pow-exp pow-pow pow-to-exp |
| 10× | neg-sub0 |
| 9× | sin-mult |
| 8× | neg-log hypot-def |
| 7× | associate-+l- |
| 6× | log1p-udef associate--r+ |
| 5× | cos-mult |
| 4× | exp-sum |
| 3× | expm1-udef sin-sum sqrt-unprod sqr-sin hypot-udef rem-exp-log cos-sum |
| 2× | exp-diff associate-+r- sin-cos-mult cube-unmult log1p-expm1 sub-div +.c-commutative tan-sum frac-2neg-c exp-neg log1p-def rem-square-sqrt |
| 1× | expm1-log1p quot-tan diff-atan log-rec exp-to-pow distribute-rgt-out-- diff-sin +-inverses rem-cbrt-cube diff-cos expm1-def |
Total 21.7b remaining (17.3%)
Threshold costs 4.0b (3.2%)
| 4.9b | 82.4% | quadm (p42, negative) |
| 4.8b | 82.6% | quad2p (problem 3.2.1, positive) |
| 4.0b | -15.7% | expq3 (problem 3.4.2) |
| 1.5b | 93.6% | quad2m (problem 3.2.1, negative) |
| 1.3b | 88.5% | 2nthrt (problem 3.4.6) |