| 56× | intervals |
| 14× | halfpoints |
| 1.1m | 66872× | body | 1280 | valid |
| 39.0s | 17140× | body | 2560 | valid |
| 24.7s | 42745× | body | 640 | valid |
| 13.9s | 12897× | body | 10240 | exit |
| 11.8s | 93579× | body | 80 | valid |
| 8.7s | 20405× | body | 320 | valid |
| 7.7s | 62508× | body | 80 | nan |
| 3.5s | 11077× | body | 160 | valid |
| 2.6s | 47424× | pre | 80 | true |
| 770.0ms | 645× | body | 1280 | nan |
| 577.0ms | 468× | body | 5120 | valid |
| 538.0ms | 703× | body | 640 | nan |
| 230.0ms | 396× | body | 320 | nan |
| 63.0ms | 218× | body | 160 | nan |
334 calls:
| 952.0ms | (expm1 (expm1 (log1p (log1p (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) |
| 838.0ms | (log (exp (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))))) |
| 808.0ms | (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))) |
| 661.0ms | (/ (* (expm1 (* (+ a b) eps)) (/ (/ eps (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (cbrt (expm1 (* eps b))))) (expm1 (* eps a))) |
| 621.0ms | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 110× | rewrite-expression-head |
334 calls:
| 532.0ms | (/ (- (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) (* (/ 1 (- x 1)) (/ 1 (- x 1)))) (- (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))) |
| 327.0ms | (/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x)))))) |
| 220.0ms | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 203.0ms | (* (- (/ 1 (+ x 1)) (/ 2 x)) (- (/ 1 (+ x 1)) (/ 2 x))) |
| 202.0ms | (log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) |
| 12251× | *-un-lft-identity |
| 11948× | times-frac |
| 11067× | add-sqr-sqrt |
| 8745× | add-cube-cbrt |
| 6896× | prod-diff |
| 1886× | pow1 |
| 1377× | sqrt-prod |
| 1150× | difference-of-squares |
| 1019× | add-exp-log |
| 911× | add-cbrt-cube |
| 909× | div-inv |
| 853× | distribute-lft-out-- |
| 788× | distribute-lft-out |
| 771× | unpow-prod-down |
| 541× | fma-neg |
| 537× | associate-/r/ |
| 533× | add-log-exp |
| 519× | pow-prod-up |
| 504× | log-prod |
| 497× | associate--l+ |
| 488× | associate-+l+ |
| 474× | distribute-rgt-in distribute-lft-in |
| 377× | pow-prod-down |
| 349× | exp-sum |
| 334× | log1p-expm1-u associate-/r* |
| 329× | expm1-log1p-u |
| 326× | insert-posit16 |
| 317× | associate-/l* |
| 296× | flip3-- flip-- |
| 276× | associate-*l* |
| 263× | sqr-pow |
| 258× | associate-*r* |
| 248× | prod-exp |
| 224× | cbrt-unprod |
| 216× | pow-sqr |
| 210× | distribute-rgt-neg-in |
| 209× | frac-sub |
| 202× | flip-+ flip3-+ |
| 195× | div-exp |
| 192× | pow-plus |
| 174× | log-pow |
| 169× | cbrt-prod |
| 168× | distribute-lft-neg-in |
| 151× | frac-times |
| 149× | cbrt-undiv |
| 128× | pow2 |
| 100× | associate-/l/ |
| 99× | exp-prod |
| 97× | diff-log |
| 96× | fma-def |
| 94× | associate-*l/ |
| 93× | sqrt-pow1 |
| 91× | sub-neg |
| 86× | swap-sqr |
| 84× | sqrt-div unswap-sqr |
| 82× | associate-*r/ |
| 69× | pow1/2 |
| 65× | frac-2neg clear-num |
| 58× | pow-unpow |
| 56× | neg-mul-1 |
| 51× | *-commutative |
| 41× | cbrt-div |
| 36× | associate-+r+ |
| 33× | un-div-inv |
| 32× | pow-flip |
| 31× | pow1/3 difference-of-sqr-1 |
| 29× | associate--r+ |
| 28× | sum-log tan-quot 1-exp rec-exp log-div |
| 25× | rem-sqrt-square |
| 23× | inv-pow div-sub fma-udef |
| 19× | rem-log-exp |
| 17× | +-commutative pow-pow |
| 16× | log1p-udef |
| 13× | associate--l- frac-add |
| 11× | expm1-log1p expm1-udef pow-exp |
| 10× | neg-sub0 |
| 9× | pow-to-exp |
| 8× | exp-diff neg-log log1p-def |
| 6× | log1p-expm1 |
| 5× | cube-unmult associate-+l- |
| 4× | sin-mult |
| 3× | sin-sum pow3 sqrt-unprod sqr-sin distribute-rgt-out-- |
| 2× | associate-+r- +.c-commutative tan-sum frac-2neg-c exp-neg hypot-def cos-sum associate--r- e-exp-1 |
| 1× | quot-tan diff-atan sin-cos-mult sub-div rem-exp-log rem-square-sqrt diff-sin rem-cbrt-cube unpow1/3 diff-cos expm1-def |
Total 27.1b remaining (21.5%)
Threshold costs 4.4b (3.4%)
| 5.0b | 81.9% | quadp (p42, positive) |
| 4.9b | 81.9% | quad2p (problem 3.2.1, positive) |
| 4.2b | 84.7% | quadm (p42, negative) |
| 4.0b | -19.3% | expq3 (problem 3.4.2) |
| 3.5b | 87.5% | quad2m (problem 3.2.1, negative) |