| 56× | intervals |
| 16× | halfpoints |
| 24.9s | 67029× | body | 1280 | valid |
| 17.4s | 17378× | body | 2560 | valid |
| 8.6s | 42585× | body | 640 | valid |
| 4.0s | 12887× | body | 10240 | exit |
| 3.2s | 93517× | body | 80 | valid |
| 2.7s | 20689× | body | 320 | valid |
| 1.7s | 62674× | body | 80 | nan |
| 915.0ms | 10728× | body | 160 | valid |
| 601.0ms | 47410× | pre | 80 | true |
| 315.0ms | 655× | body | 1280 | nan |
| 238.0ms | 672× | body | 640 | nan |
| 136.0ms | 461× | body | 5120 | valid |
| 78.0ms | 380× | body | 320 | nan |
| 23.0ms | 192× | body | 160 | nan |
375 calls:
| 499.0ms | (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 474.0ms | (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) |
| 448.0ms | (fma (cbrt (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (cbrt (+ x 1.0))) 4))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x))) |
| 412.0ms | (/ (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) |
| 372.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (/ (* (tan x) (sin eps)) (cos eps)))) (tan x)) |
| 192× | egg-herbie |
| 120× | rewrite-expression-head |
375 calls:
| 226.0ms | (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 186.0ms | (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) |
| 113.0ms | (* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a)))) |
| 112.0ms | (log (exp (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))) |
| 107.0ms | (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))) |
| 11056× | *-un-lft-identity |
| 10382× | times-frac |
| 9333× | add-sqr-sqrt |
| 7241× | add-cube-cbrt |
| 3927× | sqrt-prod |
| 3812× | prod-diff |
| 1299× | distribute-lft-out |
| 1258× | add-exp-log |
| 1253× | unpow-prod-down |
| 924× | add-cbrt-cube |
| 844× | difference-of-squares |
| 746× | pow1 |
| 734× | associate-*l* |
| 701× | distribute-lft-out-- |
| 635× | add-log-exp |
| 581× | associate-*r* |
| 575× | div-inv |
| 494× | fma-neg |
| 485× | associate-/r* |
| 483× | associate-/l* |
| 460× | sqr-pow |
| 458× | associate-/r/ |
| 395× | log-prod |
| 369× | div-exp |
| 361× | log1p-expm1-u |
| 360× | expm1-log1p-u |
| 358× | cbrt-prod |
| 311× | cube-prod |
| 298× | associate-+l+ |
| 261× | flip-- distribute-rgt-neg-in flip3-- |
| 228× | prod-exp |
| 212× | flip-+ flip3-+ |
| 203× | cbrt-undiv |
| 197× | unswap-sqr |
| 186× | sqrt-div |
| 174× | distribute-lft-neg-in |
| 153× | cbrt-unprod |
| 148× | unpow2 |
| 145× | sqrt-pow1 |
| 144× | log-pow |
| 130× | exp-sum |
| 128× | fma-def |
| 127× | swap-sqr |
| 114× | sub-neg |
| 110× | diff-log |
| 105× | distribute-rgt-in distribute-lft-in |
| 101× | pow1/2 |
| 97× | associate-*l/ |
| 96× | associate-+r+ |
| 83× | pow-unpow |
| 81× | pow-prod-down |
| 77× | cbrt-div |
| 76× | associate-/l/ |
| 72× | frac-2neg clear-num |
| 66× | pow1/3 |
| 62× | exp-prod |
| 61× | associate-*r/ |
| 59× | pow-prod-up |
| 58× | unpow3 cube-mult neg-mul-1 frac-times |
| 53× | pow-exp |
| 52× | pow-to-exp |
| 51× | 1-exp |
| 49× | *-commutative |
| 48× | rec-exp |
| 38× | frac-add |
| 36× | log-div |
| 35× | rem-sqrt-square |
| 34× | tan-quot |
| 32× | sum-log |
| 29× | pow-sqr |
| 28× | pow-flip |
| 26× | pow-pow |
| 25× | fma-udef |
| 24× | complex-mul-def div-sub |
| 23× | +-commutative |
| 22× | rem-log-exp |
| 18× | frac-sub |
| 17× | neg-sub0 |
| 16× | pow-plus |
| 14× | inv-pow |
| 12× | associate--l- |
| 10× | pow-div sum-cubes pow2 neg-log |
| 9× | exp-diff associate--l+ |
| 8× | difference-cubes hypot-def associate-+l- associate--r+ |
| 7× | sqrt-unprod |
| 6× | associate-+r- *.c-commutative |
| 5× | rem-cube-cbrt |
| 4× | +.c-commutative cos-mult complex-add-def |
| 3× | rem-exp-log expm1-udef sin-mult |
| 2× | associate-+l+.c expm1-def exp-neg sub-div difference-of-sqr-1 expm1-log1p unsub-neg rem-square-sqrt associate-*l*.c cos-sum tan-sum distribute-rgt-out-- sin-sum |
| 1× | sin-cos-mult sqrt-pow2 log1p-udef associate--r- diff-atan log1p-expm1 diff-cos sqrt-undiv frac-2neg.c exp-to-pow diff-sin |
Total 31.2b remaining (13.6%)
Threshold costs 8.7b (3.8%)
| 4.5b | 84.3% | quad2m (problem 3.2.1, negative) |
| 4.4b | 84.7% | quadm (p42, negative) |
| 3.7b | 86.9% | quad2p (problem 3.2.1, positive) |
| 3.7b | 87.2% | quadp (p42, positive) |
| 3.3b | 0% | expq3 (problem 3.4.2) |