| 56× | intervals |
| 16× | halfpoints |
| 23.7s | 66709× | body | 1280 | valid |
| 16.8s | 17663× | body | 2560 | valid |
| 8.0s | 41712× | body | 640 | valid |
| 3.7s | 12814× | body | 10240 | exit |
| 2.8s | 94023× | body | 80 | valid |
| 2.4s | 20595× | body | 320 | valid |
| 1.6s | 62230× | body | 80 | nan |
| 876.0ms | 10950× | body | 160 | valid |
| 523.0ms | 47613× | pre | 80 | true |
| 287.0ms | 654× | body | 1280 | nan |
| 213.0ms | 677× | body | 640 | nan |
| 117.0ms | 429× | body | 5120 | valid |
| 73.0ms | 377× | body | 320 | nan |
| 22.0ms | 206× | body | 160 | nan |
400 calls:
| 1.5s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (* (pow eps 3) (pow b 3)) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b))))) |
| 923.0ms | (fma (fma (fma (tan x) (tan eps) 1) (* (tan x) (tan eps)) 1) (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (- (tan x))) |
| 479.0ms | (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 479.0ms | (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 460.0ms | (log (cbrt (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))) |
| 123× | rewrite-expression-head |
400 calls:
| 334.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 210.0ms | (* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))) |
| 182.0ms | (log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) |
| 149.0ms | (* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) 1) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) |
| 137.0ms | (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) |
| 13023× | times-frac |
| 12550× | *-un-lft-identity |
| 10234× | add-sqr-sqrt |
| 7968× | add-cube-cbrt |
| 3694× | prod-diff |
| 2393× | sqrt-prod |
| 1359× | distribute-lft-out |
| 1168× | cbrt-prod |
| 1039× | add-exp-log |
| 997× | difference-of-squares |
| 978× | distribute-lft-out-- |
| 847× | add-cbrt-cube |
| 793× | associate-/l* |
| 778× | unpow-prod-down |
| 713× | pow1 |
| 707× | log-prod |
| 639× | add-log-exp |
| 545× | div-inv |
| 479× | associate-/r/ |
| 419× | fma-neg associate-*l* |
| 384× | log1p-expm1-u expm1-log1p-u |
| 330× | associate-+l+ |
| 312× | flip-- flip3-- |
| 301× | associate-*r* |
| 275× | distribute-rgt-neg-in |
| 271× | associate-/r* |
| 259× | sqr-pow |
| 220× | exp-sum |
| 219× | div-exp |
| 217× | cube-prod |
| 189× | prod-exp |
| 184× | sqrt-div |
| 183× | flip-+ flip3-+ |
| 177× | swap-sqr |
| 162× | log-pow |
| 160× | cbrt-undiv |
| 132× | fma-def cbrt-unprod |
| 123× | unswap-sqr |
| 122× | associate-+r+ |
| 118× | associate-*l/ |
| 103× | sub-neg |
| 102× | distribute-lft-neg-in |
| 100× | diff-log |
| 94× | pow-unpow |
| 91× | cbrt-div |
| 83× | pow1/3 |
| 74× | sqrt-pow1 |
| 71× | pow-prod-down |
| 69× | log-div |
| 66× | associate-/l/ |
| 65× | exp-prod |
| 63× | frac-times |
| 62× | clear-num frac-2neg |
| 56× | associate-*r/ |
| 50× | pow1/2 |
| 46× | *-commutative |
| 39× | tan-quot |
| 37× | distribute-rgt-in distribute-lft-in rem-log-exp |
| 35× | rem-sqrt-square sum-log |
| 34× | unpow3 cube-mult neg-mul-1 |
| 31× | fma-udef |
| 29× | pow-exp |
| 28× | pow-to-exp |
| 26× | +-commutative |
| 24× | complex-mul-def |
| 21× | 1-exp |
| 19× | pow-prod-up |
| 18× | div-sub |
| 16× | pow-pow |
| 15× | rec-exp sum-cubes associate-+l- |
| 14× | neg-sub0 |
| 13× | pow-sqr hypot-def distribute-rgt-out-- frac-sub |
| 12× | pow-plus associate--l+ |
| 11× | exp-diff |
| 10× | associate--l- frac-add unpow2 |
| 9× | associate-+r- |
| 8× | pow2 neg-log |
| 6× | rem-cube-cbrt rem-exp-log *.c-commutative |
| 5× | cube-div pow-flip |
| 4× | difference-of-sqr-1 +.c-commutative complex-add-def sin-mult cos-mult associate--r+ |
| 3× | difference-cubes sqrt-unprod inv-pow sub-div |
| 2× | cos-sum associate-+l+.c expm1-def un-div-inv exp-neg pow-sub associate-*l*.c sqr-cos tan-sum frac-2neg.c pow-neg exp-to-pow rem-cbrt-cube sin-sum |
| 1× | sin-cos-mult pow3 diff-atan diff-cos expm1-log1p expm1-udef distribute-rgt-out diff-sin |
Total 32.2b remaining (12.1%)
Threshold costs 4.8b (1.8%)
| 7.3b | 72.8% | quad2p (problem 3.2.1, positive) |
| 5.3b | 81.3% | quad2m (problem 3.2.1, negative) |
| 3.6b | 86.6% | quadp (p42, positive) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 3.3b | 88.5% | quadm (p42, negative) |