| 56× | intervals |
| 16× | halfpoints |
| 52.1s | 67398× | body | 1280 | valid |
| 32.0s | 17079× | body | 2560 | valid |
| 18.8s | 42063× | body | 640 | valid |
| 10.0s | 12817× | body | 10240 | exit |
| 8.2s | 93914× | body | 80 | valid |
| 8.1s | 20796× | body | 320 | valid |
| 6.1s | 62743× | body | 80 | nan |
| 2.1s | 10416× | body | 160 | valid |
| 1.1s | 47460× | pre | 80 | true |
| 539.0ms | 670× | body | 1280 | nan |
| 394.0ms | 709× | body | 640 | nan |
| 235.0ms | 469× | body | 5120 | valid |
| 128.0ms | 386× | body | 320 | nan |
| 45.0ms | 184× | body | 160 | nan |
384 calls:
| 2.0s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* eps b) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* b eps))))) |
| 2.0s | (- (fma (/ (pow (sin eps) 3) (* (pow (cos x) 2) (pow (cos eps) 3))) (/ (pow (sin x) 2) (- 1 (/ (pow (* (sin x) (sin eps)) 3) (pow (* (cos x) (cos eps)) 3)))) (+ (fma (/ (pow (sin eps) 2) (* (pow (cos eps) 2) (- 1 (/ (pow (* (sin x) (sin eps)) 3) (pow (* (cos x) (cos eps)) 3))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (/ (sin x) (cos x)) (- 1 (/ (pow (* (sin x) (sin eps)) 3) (pow (* (cos x) (cos eps)) 3))))) (/ (sin eps) (* (cos eps) (- 1 (/ (pow (* (sin x) (sin eps)) 3) (pow (* (cos x) (cos eps)) 3))))))) (/ (sin x) (cos x))) |
| 1.4s | (fma (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 3))) (fma (* (tan x) (tan eps)) (fma (tan x) (tan eps) 1) 1) (- (tan x))) |
| 1.2s | (- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (log1p (expm1 (/ 1.0 (+ x 1.0)))))) |
| 794.0ms | (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) |
| 121× | rewrite-expression-head |
384 calls:
| 1.2s | (- (+ (/ 2.0 (pow x 3)) (/ 2.0 (pow x 5))) (/ 2.220446049250313e-16 (pow x 6))) |
| 725.0ms | (* x (+ (* (* (* a a) (+ (* (* x 1/6) a) 1/2)) x) a)) |
| 588.0ms | (- (+ (* (/ 1 x) (/ 2.0 (* x x))) (/ 2.0 (pow x 5))) (/ 2.220446049250313e-16 (pow x 6))) |
| 457.0ms | (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))))) |
| 372.0ms | (+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x))) |
| 9660× | *-un-lft-identity |
| 9034× | add-sqr-sqrt |
| 8169× | times-frac |
| 6744× | add-cube-cbrt |
| 4589× | prod-diff |
| 3140× | sqrt-prod |
| 1395× | unpow-prod-down |
| 1218× | add-exp-log |
| 967× | add-cbrt-cube |
| 950× | difference-of-squares |
| 849× | distribute-lft-out |
| 743× | cbrt-prod |
| 721× | associate-*l* |
| 700× | pow1 |
| 648× | distribute-lft-out-- |
| 630× | add-log-exp |
| 611× | cube-prod |
| 547× | fma-neg |
| 504× | div-inv |
| 498× | sqr-pow |
| 491× | associate-/l* |
| 426× | associate-*r* |
| 393× | associate-/r* |
| 373× | log1p-expm1-u |
| 372× | expm1-log1p-u |
| 342× | associate-/r/ |
| 285× | associate--r+ |
| 282× | distribute-rgt-neg-in |
| 281× | log-prod |
| 273× | div-exp |
| 272× | prod-exp |
| 253× | log-pow |
| 240× | distribute-lft-neg-in |
| 221× | fma-def |
| 212× | flip-- flip3-- |
| 209× | exp-prod |
| 188× | unswap-sqr |
| 184× | cbrt-undiv |
| 180× | cbrt-unprod |
| 151× | flip-+ flip3-+ |
| 149× | sqrt-div |
| 125× | pow-unpow |
| 119× | exp-sum |
| 118× | unpow3 cube-mult |
| 111× | diff-log |
| 107× | associate-+l+ |
| 105× | pow-prod-down |
| 100× | sub-neg |
| 80× | neg-mul-1 |
| 76× | clear-num frac-2neg |
| 74× | sqrt-pow1 |
| 73× | unpow2 |
| 72× | associate-/l/ |
| 70× | pow-exp |
| 64× | pow1/2 |
| 62× | pow-to-exp |
| 57× | associate-*l/ |
| 56× | associate-*r/ |
| 53× | *-commutative |
| 48× | swap-sqr |
| 41× | distribute-rgt-in distribute-lft-in |
| 39× | tan-quot |
| 36× | rem-sqrt-square |
| 35× | div-sub pow1/3 |
| 33× | log-div |
| 30× | pow-pow |
| 27× | frac-times |
| 25× | fma-udef 1-exp rec-exp |
| 24× | sum-log |
| 23× | frac-sub |
| 21× | pow-flip |
| 20× | frac-add |
| 18× | neg-sub0 associate--l+ |
| 17× | cbrt-div rem-log-exp |
| 15× | exp-diff rem-cube-cbrt +-commutative |
| 13× | complex-mul-def |
| 12× | cube-div difference-cubes |
| 11× | associate--l- |
| 10× | pow-div |
| 9× | neg-log |
| 7× | sqrt-unprod inv-pow pow-prod-up |
| 6× | hypot-def associate-+l- |
| 5× | log1p-udef exp-neg pow-sqr |
| 4× | rem-exp-log *.c-commutative expm1-log1p expm1-udef distribute-frac-neg |
| 3× | log1p-expm1 +.c-commutative cos-mult sin-sum |
| 2× | sin-cos-mult associate--r- pow2 complex-add-def pow-plus cos-sum sin-mult tan-sum frac-2neg.c |
| 1× | associate-+l+.c rem-cbrt-cube un-div-inv diff-atan diff-cos rem-square-sqrt associate-*l*.c exp-to-pow diff-sin |
Total 25.3b remaining (19.9%)
Threshold costs 6.5b (5.1%)
| 4.6b | 84.1% | quadm (p42, negative) |
| 4.2b | 85.1% | quad2p (problem 3.2.1, positive) |
| 3.1b | 0% | expq3 (problem 3.4.2) |
| 2.8b | 82.4% | 2nthrt (problem 3.4.6) |
| 1.5b | 93.8% | quad2m (problem 3.2.1, negative) |