Details

series7.4m (62.9%)

Calls

97 calls:

6.9m
(sin (* (pow (sqrt 1) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

end3.0m (25.3%)

sample1.1m (9.6%)

Algorithm
21×intervals
Results
37.6s39173×body10240exit
7.2s7299×body1280valid
5.5s3426×body2560valid
4.7s58304×body80nan
4.7s56565×body80valid
2.3s4714×body640valid
670.0ms2332×body320valid
269.0ms1191×body160valid
178.0ms8356×pre80overflowed
65.0ms36×body5120valid
24.0ms11×body5120nan
13.0ms19×body2560nan
5.0ms18×body1280nan
3.0ms13×body320nan
2.0ms13×body640nan
1.0msbody160nan

prune8.4s (1.2%)

simplify3.5s (0.5%)

Algorithm
49×egg-herbie

regimes1.6s (0.2%)

Accuracy

Total 10.4b remaining (4.9%)

Threshold costs 0.3b (0.2%)

8.0b10%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

rewrite1.3s (0.2%)

Algorithm
31×rewrite-expression-head
Calls

97 calls:

85.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
76.0ms
(- (/ x (- hi lo)) (/ lo (- hi lo)))
64.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
63.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))
56.0ms
(* (cbrt (sin (expm1 a))) (* (* (cbrt (cbrt (sin (expm1 a)))) (cbrt (cbrt (sin (expm1 a))))) (cbrt (cbrt (sin (expm1 a))))))
Rules
1293×add-sqr-sqrt
1139×*-un-lft-identity
801×add-cube-cbrt
771×times-frac
651×prod-diff
333×add-exp-log
283×unpow-prod-down
251×pow1
202×sqrt-prod
177×add-cbrt-cube
168×distribute-lft-out--
162×difference-of-squares
159×associate-*r*
144×unpow-prod-up
139×prod-exp
100×add-log-exp
98×log1p-expm1-u
97×expm1-log1p-u
96×associate-/r/ associate-*r/ associate-*l*
93×flip-- flip3--
77×unswap-sqr
73×distribute-rgt-in distribute-lft-in
71×swap-sqr
70×cbrt-prod
68×pow-prod-down
54×pow-exp div-inv
51×cbrt-unprod
50×sqr-pow
42×pow-unpow
40×associate--l+
39×sub-neg
37×pow-to-exp
36×log-prod
34×pow1/3
33×frac-sub
30×sqrt-pow1
24×sqrt-div
22×log-pow
21×fma-neg
20×div-exp
18×pow-prod-up pow1/2 pow-pow associate-/r*
16×*-commutative
12×cube-prod associate-/l* pow-sub
11×exp-prod
10×rem-sqrt-square
rem-log-exp
sinh-def pow-sqr
pow-plus
cbrt-undiv pow2
cube-div cube-mult sqrt-pow2 unpow3 clear-num frac-2neg
exp-sum distribute-rgt-out--
associate-/l/ cbrt-div rem-cube-cbrt expm1-udef associate-*l/ distribute-rgt-out e-exp-1 frac-times acos-asin rem-cbrt-cube
diff-log expm1-log1p div-sub rem-exp-log distribute-lft1-in exp-to-pow pow3 sin-diff sub-div

localize416.0ms (0.1%)

bsearch97.0ms (0.0%)