| 56× | intervals |
| 16× | halfpoints |
| 24.6s | 66473× | body | 1280 | valid |
| 17.3s | 17399× | body | 2560 | valid |
| 8.2s | 41018× | body | 640 | valid |
| 3.2s | 94269× | body | 80 | valid |
| 2.7s | 21187× | body | 320 | valid |
| 1.7s | 63474× | body | 80 | nan |
| 1.6s | 1629× | body | 10240 | exit |
| 936.0ms | 11130× | body | 160 | valid |
| 582.0ms | 47472× | pre | 80 | true |
| 391.0ms | 11929× | body | 80 | overflowed |
| 165.0ms | 176× | body | 1280 | nan |
| 121.0ms | 455× | body | 5120 | valid |
| 116.0ms | 238× | body | 640 | nan |
| 39.0ms | 163× | body | 320 | nan |
| 23.0ms | 218× | body | 160 | overflowed |
| 12.0ms | 92× | body | 160 | nan |
390 calls:
| 1.3s | (/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (* (pow eps 3) (pow b 3))) (+ (* 1/2 (* (pow eps 2) (pow b 2))) (* eps b))))) |
| 907.0ms | (- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (* (tan x) (tan eps)))) (tan x)) |
| 897.0ms | (- (* (/ (+ (tan x) (tan eps)) (- 1 (* (* (tan x) (tan eps)) (* (tan x) (tan eps))))) (+ 1 (log (exp (* (tan x) (tan eps)))))) (tan x)) |
| 755.0ms | (* (sqrt (+ (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))) (+ (- (* 0.25 (+ (/ 1 (* (pow x 2) n)) (/ (log (/ 1 x)) (* x (pow n 2)))))) (/ (/ 0.5 n) x))) |
| 673.0ms | (cbrt (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x)))) |
| 194× | egg-herbie |
| 122× | rewrite-expression-head |
390 calls:
| 675.0ms | (+ (- (/ (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (+ x 1.0))) (/ 2.0 x)) (/ 1.0 (- x 1.0))) |
| 235.0ms | (* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))) |
| 199.0ms | (* (+ (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n)))) (+ (- (* 0.25 (+ (/ 1 (* (pow x 2) n)) (/ (log (/ 1 x)) (* x (pow n 2)))))) (/ (/ 0.5 n) x))) |
| 197.0ms | (/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))) |
| 189.0ms | (* (sqrt (+ (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))) (+ (- (* 0.25 (+ (/ 1 (* (pow x 2) n)) (/ (log (/ 1 x)) (* x (pow n 2)))))) (/ (/ 0.5 n) x))) |
| 5963× | *-un-lft-identity |
| 5555× | times-frac |
| 4994× | add-sqr-sqrt |
| 3369× | add-cube-cbrt |
| 2853× | sqrt-prod |
| 1355× | add-exp-log |
| 1032× | add-cbrt-cube |
| 877× | distribute-lft-out |
| 801× | pow1 |
| 783× | associate-*l* |
| 705× | add-log-exp |
| 595× | difference-of-squares |
| 594× | associate-/l* |
| 515× | distribute-lft-out-- |
| 456× | associate-*r* |
| 363× | associate-/r* prod-exp |
| 334× | unpow-prod-down |
| 320× | cbrt-prod |
| 293× | div-exp |
| 228× | flip-+ flip3-+ |
| 218× | unswap-sqr |
| 217× | associate-/r/ |
| 216× | div-inv |
| 215× | flip-- flip3-- |
| 213× | cbrt-unprod |
| 211× | log-pow |
| 202× | cbrt-undiv |
| 177× | cube-prod exp-prod log-prod |
| 166× | associate-*l/ |
| 164× | distribute-rgt-neg-in |
| 151× | cbrt-div |
| 145× | sqr-pow |
| 141× | associate-*r/ |
| 128× | pow-prod-down frac-times |
| 126× | sqrt-pow1 |
| 113× | sqrt-div |
| 101× | sub-neg |
| 100× | tan-quot |
| 99× | diff-log |
| 97× | swap-sqr |
| 96× | associate-/l/ |
| 90× | pow-exp |
| 89× | pow-to-exp |
| 88× | pow1/2 |
| 84× | distribute-lft-neg-in |
| 80× | *-commutative |
| 75× | frac-2neg clear-num |
| 73× | sum-log |
| 63× | pow-unpow frac-add |
| 54× | associate-+r+ |
| 52× | pow1/3 |
| 46× | rem-sqrt-square |
| 40× | pow-prod-up distribute-rgt-in +-commutative distribute-lft-in |
| 39× | associate-+l+ unpow2 |
| 36× | neg-mul-1 |
| 29× | div-sub frac-sub |
| 28× | log-div |
| 26× | pow-sqr 1-exp |
| 25× | distribute-neg-frac |
| 24× | complex-mul-def |
| 23× | neg-sub0 rec-exp |
| 21× | neg-log |
| 20× | associate--l+ |
| 19× | pow-flip |
| 17× | pow-pow associate-+l- |
| 15× | rem-log-exp |
| 14× | unpow3 cube-mult exp-sum |
| 12× | associate--r+ pow-plus |
| 11× | associate--l- |
| 10× | pow-div exp-diff |
| 9× | pow2 |
| 8× | associate-+r- cos-mult |
| 7× | rem-cube-cbrt exp-to-pow |
| 6× | cube-div difference-cubes sqrt-unprod sin-mult *.c-commutative |
| 5× | inv-pow |
| 4× | sin-cos-mult distribute-neg-in +.c-commutative unsub-neg complex-add-def |
| 3× | un-div-inv rem-square-sqrt distribute-rgt-out |
| 2× | rem-exp-log distribute-neg-out pow3 associate-+l+.c exp-neg sub-div difference-of-sqr-1 associate-*l*.c cos-sum tan-sum frac-2neg.c sin-sum |
| 1× | distribute-lft1-in distribute-rgt1-in diff-atan diff-cos count-2 distribute-frac-neg rem-cbrt-cube diff-sin |
Total 28.1b remaining (12.8%)
Threshold costs 7.6b (3.5%)
| 7.0b | 74.3% | quadp (p42, positive) |
| 3.2b | 0% | expq3 (problem 3.4.2) |
| 2.8b | 89.5% | quad2m (problem 3.2.1, negative) |
| 2.0b | 92% | quad2p (problem 3.2.1, positive) |
| 1.7b | 83.9% | 2cos (problem 3.3.5) |