| 56× | intervals |
| 16× | halfpoints |
| 58.6s | 66750× | body | 1280 | valid |
| 33.7s | 16915× | body | 2560 | valid |
| 25.0s | 42952× | body | 640 | valid |
| 13.4s | 12723× | body | 10240 | exit |
| 10.8s | 93370× | body | 80 | valid |
| 8.5s | 20720× | body | 320 | valid |
| 6.2s | 63553× | body | 80 | nan |
| 2.9s | 10923× | body | 160 | valid |
| 2.1s | 47339× | pre | 80 | true |
| 562.0ms | 622× | body | 1280 | nan |
| 443.0ms | 655× | body | 640 | nan |
| 428.0ms | 520× | body | 5120 | valid |
| 206.0ms | 358× | body | 320 | nan |
| 44.0ms | 187× | body | 160 | nan |
402 calls:
| 6.0s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma eps b (fma (* 1/2 (* eps eps)) (* b b) (* (* (* eps (* eps eps)) 1/6) (* (* b b) b)))))) |
| 2.1s | (fma (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan x)) (* (tan eps) (tan eps))))) (+ 1 (* (tan x) (tan eps))) (- (tan x))) |
| 2.1s | (fma (/ (+ (tan x) (tan eps)) (- (* 1 1) (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps))) (- (tan x))) |
| 1.8s | (fma (- (pow (cbrt x) (/ 1.0 n))) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)) (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)))) |
| 1.8s | (fma (- (pow (cbrt x) (/ 1.0 n))) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)) (* (pow (cbrt x) (/ 1.0 n)) (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)))) |
| 123× | rewrite-expression-head |
402 calls:
| 1.0s | (* (* (* eps (* eps eps)) 1/6) (* (* b b) b)) |
| 955.0ms | (+ 1 (log (exp (- (/ (/ (sin x) x) (cos x)) (fma (/ (/ (sin x) x) x) (/ (sin x) (cos x)) (/ (sin x) x)))))) |
| 896.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 887.0ms | (* (/ (fma 0.3333333333333333 (* 0.3333333333333333 0.3333333333333333) (* (* x (* x 0.022222222222222223)) (* (* x (* x 0.022222222222222223)) (* x (* x 0.022222222222222223))))) 1) (/ x (+ (* (* x (* x 0.022222222222222223)) (* x (* x 0.022222222222222223))) (- (* 0.3333333333333333 0.3333333333333333) (* (* x (* x 0.022222222222222223)) 0.3333333333333333))))) |
| 496.0ms | (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) |
| 9398× | *-un-lft-identity |
| 7957× | times-frac |
| 7877× | add-sqr-sqrt |
| 6139× | add-cube-cbrt |
| 3887× | prod-diff |
| 3162× | sqrt-prod |
| 2186× | pow1 |
| 1645× | add-exp-log |
| 1401× | add-cbrt-cube |
| 1240× | distribute-lft-out |
| 647× | add-log-exp |
| 632× | difference-of-squares |
| 574× | pow-prod-down |
| 569× | prod-exp |
| 557× | associate-*r* |
| 526× | div-inv |
| 517× | fma-neg |
| 502× | associate-+r+ |
| 497× | associate-*l* |
| 491× | pow-prod-up |
| 485× | distribute-lft-out-- |
| 483× | associate-/r/ |
| 473× | cbrt-unprod |
| 393× | log1p-expm1-u |
| 392× | expm1-log1p-u |
| 390× | insert-posit16 |
| 371× | log-prod |
| 357× | sqrt-div |
| 346× | associate-/l* |
| 340× | cbrt-prod |
| 316× | flip-+ flip3-+ |
| 314× | div-exp |
| 295× | exp-sum |
| 286× | pow-plus |
| 282× | associate-+l+ |
| 264× | associate-/r* |
| 253× | associate-*r/ |
| 235× | associate-*l/ |
| 229× | flip3-- flip-- |
| 228× | cbrt-undiv |
| 219× | pow-sqr |
| 194× | frac-times |
| 191× | unpow-prod-down |
| 162× | swap-sqr |
| 161× | sqrt-pow1 |
| 156× | unswap-sqr |
| 150× | exp-prod |
| 146× | distribute-rgt-neg-in |
| 126× | fma-def |
| 125× | distribute-lft-neg-in |
| 111× | pow2 sub-neg |
| 105× | tan-quot |
| 104× | diff-log |
| 101× | log-pow |
| 82× | pow1/2 associate-/l/ |
| 80× | *-commutative |
| 66× | frac-2neg clear-num |
| 65× | pow-unpow |
| 62× | distribute-rgt-in distribute-lft-in |
| 61× | sqr-pow |
| 48× | frac-add |
| 46× | cbrt-div |
| 45× | fma-udef |
| 43× | neg-mul-1 |
| 41× | pow1/3 |
| 37× | rem-sqrt-square |
| 34× | div-sub |
| 32× | 1-exp pow3 |
| 30× | rec-exp |
| 28× | sum-log frac-sub log-div |
| 23× | associate--r+ |
| 19× | +-commutative |
| 17× | neg-sub0 |
| 15× | exp-diff complex-mul-def |
| 14× | associate--l+ |
| 13× | rem-log-exp |
| 12× | hypot-def |
| 11× | pow-exp pow-to-exp |
| 10× | associate-+l- |
| 9× | associate--l- |
| 8× | pow-flip exp-neg |
| 6× | cube-unmult neg-log sqrt-unprod pow-pow rem-square-sqrt |
| 5× | expm1-log1p expm1-udef log1p-expm1 difference-cubes rem-exp-log log1p-udef |
| 4× | cos-mult *.c-commutative sqr-cos un-div-inv |
| 3× | sin-sum associate-+r- distribute-frac-neg sin-mult +.c-commutative inv-pow cos-sum associate--r- |
| 2× | associate-*l*.c complex-def-add tan-sum +-inverses exp-to-pow distribute-rgt-out-- complex-add-def |
| 1× | distribute-lft-neg-out diff-atan frac-2neg.c sin-cos-mult distribute-lft-in.c distribute-rgt-in.c diff-sin associate-+l+.c diff-cos rem-cbrt-cube |
Total 27.4b remaining (21%)
Threshold costs 6.7b (5.1%)
| 4.1b | 85.8% | quadp (p42, positive) |
| 4.1b | 85.9% | quad2p (problem 3.2.1, positive) |
| 3.3b | 0% | expq3 (problem 3.4.2) |
| 3.0b | 90% | quad2m (problem 3.2.1, negative) |
| 3.0b | 90% | quadm (p42, negative) |