Details

Time bar (total: 18.6s)

sample42.0ms

Algorithm
intervals
Results
16.0ms57×body1280valid
7.0ms39×body640valid
5.0ms130×body80valid
2.0ms13×body320valid
2.0ms17×body160valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
22210
33010
45310
511510
627010
777610
8294810
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
4.3b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
32.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
15.0ms
(+ 1.0 (exp (* -2.0 x)))
122.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series220.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
25.0ms
(+ 1.0 (exp (* -2.0 x)))
134.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.4s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0116947
1252903
2555847
31212838
43536836
done5000836

prune260.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
4.3b
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite583.0ms

Algorithm
rewrite-expression-head
Rules
388×times-frac
305×*-un-lft-identity
233×sqrt-prod
214×add-sqr-sqrt
189×add-cube-cbrt
57×distribute-lft-out
30×associate-/l*
22×sqrt-div
20×associate-/r/
14×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
10×div-inv
7×difference-of-squares
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp
2×frac-2neg clear-num
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 321
Calls
4 calls:
21.0ms
(sqrt (+ 1.0 (exp (* -2.0 x))))
73.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
17.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
444.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series352.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (+ 1.0 (exp (* -2.0 x))))
66.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
77.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
135.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify3.1s

Counts
333 → 333
Iterations

Useful iterations: done (3.1s)

IterNodesCost
035410184
17858589
215587997
342017643
done50007472

prune755.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b
(+ (exp (* -2.0 x)) 1.0)
4.3b
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
28.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
12.0ms
(+ (exp (* -2.0 x)) 1.0)
117.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series198.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
18.0ms
(+ (exp (* -2.0 x)) 1.0)
121.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify3.6s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0113947
1249905
2546847
31199838
43497836
done5000836

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1.0 x) (* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17))))
0.1b
(* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 distribute-rgt-in distribute-lft-in associate-*r/ associate--r+ sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- flip3-+ diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod flip-+
Counts
2 → 49
Calls
2 calls:
12.0ms
(- (* 1.0 x) (* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17))))
25.0ms
(* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17)))

series215.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (* 1.0 x) (* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17))))
145.0ms
(* (pow x 3) (+ 0.33333333333333337 (* x 5.551115123125783e-17)))

simplify1.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
096819
1289762
21230704
done5000704

prune158.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes1.0ms