| 56× | intervals |
| 16× | halfpoints |
| 1.1m | 66872× | body | 1280 | valid |
| 37.6s | 17140× | body | 2560 | valid |
| 29.5s | 42745× | body | 640 | valid |
| 14.4s | 12897× | body | 10240 | exit |
| 11.6s | 93579× | body | 80 | valid |
| 9.1s | 20405× | body | 320 | valid |
| 6.7s | 62508× | body | 80 | nan |
| 2.7s | 11077× | body | 160 | valid |
| 1.9s | 47424× | pre | 80 | true |
| 787.0ms | 645× | body | 1280 | nan |
| 542.0ms | 468× | body | 5120 | valid |
| 519.0ms | 703× | body | 640 | nan |
| 219.0ms | 396× | body | 320 | nan |
| 100.0ms | 218× | body | 160 | nan |
389 calls:
| 528.0ms | (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) |
| 524.0ms | (- (* (+ (tan x) (tan eps)) (/ 1 (- 1 (* (tan x) (tan eps))))) (tan x)) |
| 492.0ms | (- (* (+ (tan x) (tan eps)) (/ 1 (- 1 (/ (* (tan x) (sin eps)) (cos eps))))) (tan x)) |
| 480.0ms | (/ (- x (sin x)) (- x (tan x))) |
| 389.0ms | (* (+ (* (/ (* (* x x) x) 91125) (* (* x x) x)) 1/27) (/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))))) |
| 119× | rewrite-expression-head |
389 calls:
| 661.0ms | (/ (+ (* 1/60 (* (* x (* x x)) (* x x))) (+ (* 1/3 (* x (* x x))) (* 2 x))) (/ 2 (sin y))) |
| 402.0ms | (* (+ (* (/ (* (* x x) x) 91125) (* (* x x) x)) 1/27) (/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))))) |
| 374.0ms | (- (exp (+ (* (+ b a) eps) (+ (* (+ b a) eps) (* (+ b a) eps)))) 1) |
| 373.0ms | (* (* (* (* a x) (* a x)) (* a x)) 1/6) |
| 343.0ms | (* (* (* (* eps a) (* eps a)) a) eps) |
| 6469× | times-frac |
| 5932× | *-un-lft-identity |
| 4911× | add-sqr-sqrt |
| 3625× | add-cube-cbrt |
| 2714× | sqrt-prod |
| 1459× | add-exp-log |
| 1321× | pow1 |
| 1294× | add-cbrt-cube |
| 822× | distribute-lft-out |
| 663× | add-log-exp |
| 572× | associate-/l* |
| 503× | associate-*l* |
| 467× | difference-of-squares |
| 461× | prod-exp |
| 416× | cbrt-unprod |
| 406× | associate-*r* |
| 403× | pow-prod-down |
| 377× | insert-posit16 |
| 358× | distribute-lft-out-- |
| 345× | associate-/r* |
| 286× | associate-/r/ |
| 264× | div-inv |
| 247× | div-exp |
| 243× | flip-+ |
| 242× | flip3-+ |
| 218× | flip-- |
| 217× | flip3-- sqrt-div |
| 210× | associate-*l/ |
| 209× | log-prod |
| 180× | cbrt-undiv |
| 136× | unswap-sqr |
| 123× | pow-prod-up |
| 122× | cbrt-prod |
| 101× | sub-neg |
| 100× | exp-prod |
| 98× | diff-log |
| 91× | sqrt-pow1 |
| 87× | *-commutative |
| 81× | pow-unpow |
| 77× | frac-times |
| 75× | pow1/2 |
| 74× | associate-/l/ |
| 73× | log-pow |
| 69× | frac-2neg clear-num pow-sqr |
| 64× | frac-add |
| 63× | associate-*r/ |
| 58× | unpow-prod-down |
| 57× | pow-plus |
| 56× | tan-quot |
| 53× | sum-log |
| 51× | swap-sqr |
| 40× | 1-exp |
| 39× | rec-exp |
| 37× | +-commutative |
| 36× | rem-sqrt-square log-div |
| 35× | pow1/3 cbrt-div difference-of-sqr-1 |
| 34× | frac-sub pow2 |
| 33× | pow-flip |
| 29× | distribute-rgt-in distribute-lft-in |
| 27× | associate--l+ |
| 25× | associate-+r+ sqr-pow |
| 22× | associate--r+ |
| 21× | rem-log-exp |
| 19× | associate-+l+ inv-pow |
| 18× | div-sub |
| 15× | associate--l- |
| 13× | distribute-rgt-neg-in complex-mul-def |
| 10× | neg-sub0 pow-exp pow-to-exp |
| 9× | pow-pow |
| 8× | associate-+l- |
| 7× | un-div-inv |
| 6× | pow-div exp-diff distribute-lft1-in neg-log distribute-rgt-out |
| 5× | sin-sum pow3 sqrt-unprod exp-to-pow distribute-rgt-out-- |
| 4× | exp-sum exp-neg sin-mult |
| 3× | sin-cos-mult *.c-commutative log-rec sub-div sqr-sin +.c-commutative cube-unmult rem-exp-log |
| 2× | associate-*l*.c tan-sum frac-2neg-c rem-square-sqrt cos-sum complex-add-def |
| 1× | diff-atan cos-mult associate-+r- sqrt-pow2 +-inverses associate-+l+.c diff-sin rem-cbrt-cube diff-cos unsub-neg associate--r- |
Total 29.3b remaining (16.4%)
Threshold costs 5.7b (3.2%)
| 5.0b | 45.9% | expq3 (problem 3.4.2) |
| 5.0b | 81.9% | quad2p (problem 3.2.1, positive) |
| 4.9b | 81.9% | quadp (p42, positive) |
| 4.4b | 84.3% | quadm (p42, negative) |
| 2.9b | 88.7% | quad2m (problem 3.2.1, negative) |