| 78× | intervals |
| 7.5m | 47769× | body | 10240 | exit |
| 1.2m | 44067× | body | 1280 | valid |
| 26.4s | 30234× | body | 640 | valid |
| 18.6s | 203869× | body | 80 | valid |
| 13.6s | 153435× | body | 80 | nan |
| 13.2s | 27760× | body | 320 | valid |
| 8.5s | 186776× | pre | 80 | true |
| 8.4s | 36376× | body | 160 | valid |
| 2.6s | 3206× | body | 2560 | valid |
| 1.3s | 7956× | body | 160 | nan |
| 460.0ms | 4074× | pre | 10240 | exit |
| 165.0ms | 216× | body | 5120 | valid |
| 1.0ms | 1× | body | 320 | nan |
453 calls:
| 1.4s | (pow (exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))) |
| 1.0s | (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2.0))) (- phi1 phi2)) R) |
| 835.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))) |
| 819.0ms | (/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b))) |
| 769.0ms | (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (* 0.5 c_p) t (fma c_p (log 0.5) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))) |
| 143× | rewrite-expression-head |
453 calls:
| 18.4s | (* (/ (/ (/ 1 (* (cbrt b1) (cbrt b1))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (cbrt b2) (/ (/ a1 (cbrt b1)) (cbrt (cbrt b2))))) (/ a2 (cbrt b2))) |
| 739.0ms | (* (* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))) |
| 633.0ms | (* (sqrt (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))) (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))) |
| 587.0ms | (* (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))) |
| 490.0ms | (/ (- (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))) (* (* (* x y) (* x y)) (* x y))) (+ (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1.0 (exp x))) (* x y))))) |
| 216769× | times-frac |
| 86711× | cbrt-prod |
| 84254× | add-sqr-sqrt |
| 84175× | *-un-lft-identity |
| 77812× | add-cube-cbrt |
| 40074× | associate-*l* |
| 8980× | div-inv |
| 4114× | prod-diff |
| 3786× | add-exp-log |
| 1991× | add-cbrt-cube |
| 1669× | difference-of-squares |
| 1629× | distribute-lft-out |
| 1601× | sqrt-prod |
| 1459× | prod-exp |
| 1416× | distribute-lft-out-- |
| 1315× | pow1 |
| 1314× | div-exp |
| 847× | associate-/r/ |
| 766× | associate-/l* |
| 751× | unpow-prod-down |
| 746× | associate-*r* |
| 651× | add-log-exp unswap-sqr |
| 616× | cube-prod |
| 615× | associate-/r* |
| 594× | cbrt-unprod |
| 585× | cbrt-undiv |
| 517× | pow-exp |
| 454× | expm1-log1p-u log1p-expm1-u |
| 392× | flip-- |
| 391× | flip3-- |
| 389× | pow-to-exp |
| 363× | flip-+ |
| 362× | flip3-+ |
| 334× | fma-neg |
| 306× | pow-prod-down |
| 294× | sqr-pow |
| 261× | distribute-rgt-neg-in |
| 236× | frac-times |
| 214× | swap-sqr |
| 200× | cbrt-div |
| 184× | fma-def |
| 183× | distribute-rgt-in distribute-lft-in |
| 158× | associate-*l/ |
| 144× | sqrt-div |
| 137× | associate-*r/ |
| 135× | pow-prod-up |
| 114× | log-prod |
| 111× | distribute-lft-neg-in |
| 104× | *-commutative |
| 103× | frac-2neg clear-num |
| 93× | sub-neg |
| 92× | associate-/l/ |
| 87× | pow-plus |
| 71× | sqrt-pow1 |
| 65× | cos-sum pow1/2 diff-log |
| 63× | pow-sqr |
| 55× | log-pow |
| 54× | frac-add |
| 53× | 1-exp rec-exp div-sub |
| 45× | pow1/3 |
| 43× | pow2 fma-udef |
| 42× | exp-prod |
| 38× | frac-sub |
| 37× | neg-mul-1 |
| 34× | pow-unpow |
| 32× | difference-cubes |
| 31× | associate--l+ |
| 30× | sum-log rem-sqrt-square |
| 24× | log-div |
| 23× | pow-flip exp-sum +-commutative |
| 22× | sin-sum |
| 18× | sin-diff |
| 17× | tan-quot |
| 16× | pow-pow |
| 15× | associate-+l- |
| 14× | neg-sub0 rem-log-exp |
| 13× | cos-diff |
| 12× | pow3 |
| 11× | tanh-def |
| 10× | rem-exp-log sin-mult |
| 9× | sin-cos-mult associate--r+ inv-pow |
| 7× | distribute-frac-neg |
| 6× | cos-mult neg-log acos-asin |
| 5× | exp-diff cube-unmult sqrt-unprod exp-to-pow associate--r- |
| 3× | asin-acos acos-neg rem-square-sqrt |
| 2× | expm1-log1p expm1-udef associate--l- log1p-expm1 log1p-udef sqrt-pow2 rem-cbrt-cube |
| 1× | tanh-undef sqr-sin hypot-udef |
Total 49.7b remaining (29.3%)
Threshold costs 5.4b (3.2%)
| 7.5b | 44.8% | Quadratic roots, narrow range |
| 6.1b | 10.6% | Quadratic roots, medium range |
| 5.6b | 58.5% | Cubic critical, narrow range |
| 4.9b | 40.4% | Quotient of products |
| 4.6b | 30.9% | Cubic critical, medium range |