Details

sample13.5m (85.8%)

Algorithm
14×halfpoints
intervals
Results
53.1s6573×body10240exit
11.4s12840×body80nan
1.9s7691×body80valid
324.0ms686×body160valid

simplify1.5m (9.7%)

prune20.5s (2.2%)

series9.6s (1.0%)

Calls

43 calls:

1.3s
(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
648.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
573.0ms
(log (exp (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))))
552.0ms
(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
472.0ms
(sqrt (+ (exp x) 1.0))

rewrite7.0s (0.7%)

Algorithm
14×rewrite-expression-head
Calls

43 calls:

1.1s
(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
619.0ms
(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (exp (* x -2)) (+ -1 (exp (+ x x)))))
582.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
477.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
472.0ms
(* 1/12 (pow x 4))
Rules
407×*-un-lft-identity
276×add-sqr-sqrt
206×times-frac
151×add-cube-cbrt
91×distribute-lft-out
76×associate-*l*
68×add-exp-log
64×add-cbrt-cube
61×add-log-exp
56×difference-of-squares
54×unpow-prod-down
46×cube-prod
43×pow1
42×distribute-lft-out--
35×sqrt-prod
28×associate-/l*
26×associate-*r*
18×associate-/r*
15×exp-prod pow-pow
14×flip3-- prod-exp unswap-sqr flip--
13×complex-mul-def
11×sub-neg
10×flip3-+ flip-+ associate-/r/ sum-cubes cbrt-unprod
diff-log div-inv
cbrt-undiv associate-/l/ div-exp
exp-sum
*-commutative pow-unpow sqr-pow
+-commutative sum-log
*.c-commutative associate-*l/ pow-prod-down pow-exp clear-num pow-to-exp frac-2neg associate-+l+
+.c-commutative distribute-rgt-neg-in rem-sqrt-square distribute-lft-neg-in sqrt-div log-pow log-prod
rem-cube-cbrt distribute-rgt-in cube-mult unpow3 pow1/2 complex-add-def frac-2neg.c distribute-lft-in div-sub exp-to-pow sqrt-pow1 cube-div
exp-diff rem-exp-log neg-mul-1 associate-+l+.c exp-neg associate-*l*.c neg-sub0 rem-log-exp

localize4.5s (0.5%)

regimes834.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

0.0b0%sqrtexp (problem 3.4.4)
0.0b0%Euler formula real part (p55)

end29.0ms (0.0%)

bsearch0.0ms (0.0%)