Details

sample1.7m (59.4%)

Algorithm
29×intervals
14×halfpoints
Results
1.9s4942×body1280valid
1.1s548×body2560valid
604.0ms1910×body640valid
358.0ms6942×body80valid
225.0ms409×body10240exit
166.0ms922×body320valid
99.0ms1919×body80nan
69.0ms576×body160valid
29.0ms1471×pre80true
19.0ms23×body1280nan
9.0ms15×body640nan
6.0ms10×body5120valid
4.0ms12×body320nan
1.0msbody160nan

simplify1.0m (35.7%)

rewrite4.9s (2.9%)

Algorithm
39×rewrite-expression-head
Calls

102 calls:

521.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
400.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
174.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
145.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
130.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
Rules
3157×*-un-lft-identity
2696×add-sqr-sqrt
2653×times-frac
2300×add-cube-cbrt
1995×prod-diff
800×sqrt-prod
273×distribute-lft-out
247×associate-+l+
203×div-inv
200×pow1
191×fma-neg
179×add-log-exp
168×add-exp-log
161×difference-of-squares distribute-lft-out-- add-cbrt-cube
159×associate-/r/
89×log1p-expm1-u expm1-log1p-u
86×associate-*l*
77×flip-+ flip3-+
75×sqrt-pow1
73×associate-/l* unpow-prod-down
65×flip-- flip3--
64×cbrt-prod
62×log-prod
61×associate-/r*
55×sqrt-div
51×pow1/2
50×distribute-rgt-neg-in
42×distribute-lft-neg-in
40×sub-neg diff-log
39×pow-prod-up
33×associate-*r*
28×log-pow
26×pow-unpow
24×sqr-pow div-exp
23×cbrt-undiv
21×fma-def
19×distribute-rgt-in distribute-lft-in
18×associate-/l/
17×tan-quot cbrt-unprod prod-exp
16×pow-prod-down frac-2neg clear-num unswap-sqr
14×neg-mul-1
13×complex-mul-def associate--l+
11×rem-sqrt-square pow-sqr log-div div-sub
10×swap-sqr
*-commutative associate-*l/
frac-add pow-plus frac-sub
sum-log
associate--l- rem-log-exp
+-commutative neg-sub0 frac-times *.c-commutative associate--r+
+.c-commutative sqrt-unprod
cbrt-div exp-diff pow-pow fma-udef exp-neg pow-to-exp pow1/3 complex-add-def neg-log tan-sum cos-sum pow-exp associate-*r/ frac-2neg.c associate-+l- sin-sum
associate-+l+.c rem-exp-log diff-atan pow2 diff-cos rem-square-sqrt exp-prod associate-*l*.c exp-to-pow diff-sin

series1.5s (0.9%)

Calls

23 calls:

25.0ms
(- (atan (+ N 1.0)) (atan N))
13.0ms
(sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.0ms
(sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.0ms
(sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.0ms
(sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))

localize1.2s (0.7%)

prune830.0ms (0.5%)

regimes30.0ms (0.0%)

Accuracy

Total 0.0b remaining (0.1%)

Threshold costs 0.0b (0.1%)

0.0b0%2atan (example 3.5)

end0.0ms (0.0%)

bsearch0.0ms (0.0%)