Details

Time bar (total: 10.0m)

sample44.0s

Algorithm
intervals
Results
43.5s2944×body10240exit
195.0ms3201×pre80true
49.0ms254×body80valid
4.0ms2×body1280valid
1.0ms1×body320valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
48128
3743
2143
154
022

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 (exp (- s))))
0.5b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.7b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
1.7b
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
1196×add-exp-log
692×pow-exp
684×prod-exp
595×div-exp
344×pow-to-exp
117×rec-exp 1-exp
51×*-un-lft-identity
37×times-frac
36×unpow-prod-down
31×add-sqr-sqrt add-cube-cbrt
18×add-cbrt-cube
10×distribute-lft-out
9×pow1
6×pow-unpow pow-pow associate-/r/
5×cbrt-undiv associate-/r*
4×cbrt-unprod insert-posit16 div-inv associate-/l* add-log-exp
3×flip3-+ flip-+ pow-flip inv-pow
2×clear-num frac-2neg sqr-pow
Counts
4 → 493
Calls
4 calls:
11.0ms
(/ 1 (+ 1 (exp (- s))))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
131.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (+ 1 (exp (- s))))
63.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
61.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
566.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify1.5s

Counts
505 → 505
Iterations
IterNodes
23810
11279
0432

prune6.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (+ 1 (exp (- t)))) c_p)
0.5b
(log (+ 1 (exp (- s))))
0.8b
(log (+ 1 (exp (- t))))
9.3b
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (log (+ 1 (exp (- t)))) c_p)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
30×log-prod
24×associate--l+ associate--r+
16×add-log-exp
13×difference-of-squares
11×distribute-rgt-in distribute-lft-in
10×add-cube-cbrt
9×pow1
8×times-frac diff-log add-exp-log
6×add-cbrt-cube
5×flip3-- flip-- distribute-lft-out--
4×log-div associate-*l* frac-sub insert-posit16
3×sub-neg associate-*r* log-pow
2×flip3-+ rem-log-exp flip-+ div-inv distribute-lft-out
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod associate--r- unswap-sqr
Counts
4 → 102
Calls
4 calls:
6.0ms
(* (log (+ 1 (exp (- t)))) c_p)
5.0ms
(log (+ 1 (exp (- s))))
5.0ms
(log (+ 1 (exp (- t))))
95.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (log (+ 1 (exp (- t)))) c_p)))

series492.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (log (+ 1 (exp (- t)))) c_p)
53.0ms
(log (+ 1 (exp (- s))))
51.0ms
(log (+ 1 (exp (- t))))
322.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (log (+ 1 (exp (- t)))) c_p)))

simplify739.0ms

Counts
114 → 114
Iterations
IterNodes
22294
1737
0295

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b
(* c_p (log (+ 1 (exp (- s)))))
0.3b
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
0.5b
(log (+ 1 (exp (- s))))
9.3b
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
37×*-un-lft-identity
34×log-prod
24×associate--l+ associate--r+
16×add-log-exp
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt difference-of-squares
10×pow1
9×add-exp-log
8×times-frac add-cbrt-cube diff-log
7×associate-*r*
6×flip3-- associate-*l* flip--
5×distribute-lft-out--
4×frac-sub insert-posit16
3×sub-neg distribute-lft-out
2×log-div pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod div-inv unswap-sqr
1×associate--l- flip3-+ rem-log-exp flip-+ associate--r-
Counts
4 → 115
Calls
4 calls:
14.0ms
(* c_p (log (+ 1 (exp (- s)))))
241.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
5.0ms
(log (+ 1 (exp (- s))))
97.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* c_p (log (+ 1 (exp (- s)))))
63.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
53.0ms
(log (+ 1 (exp (- s))))
409.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (log (+ 1 (exp (- s)))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

simplify979.0ms

Counts
127 → 127
Iterations
IterNodes
22441
1747
0286

prune2.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
0.3b
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
0.5b
(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))
9.3b
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
37×*-un-lft-identity
33×log-prod
24×associate--l+ associate--r+
19×difference-of-squares
16×add-log-exp
12×distribute-rgt-in distribute-lft-in times-frac
11×add-cube-cbrt
9×pow1 add-exp-log
8×add-cbrt-cube diff-log
7×flip3-- flip-- distribute-lft-out--
6×associate-*r* associate-*l*
4×frac-sub insert-posit16
3×sub-neg div-inv
2×log-div pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×associate--l- flip3-+ rem-log-exp log-pow flip-+ associate--r-
Counts
4 → 117
Calls
4 calls:
26.0ms
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
237.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
59.0ms
(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))
103.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
63.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
82.0ms
(* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))
256.0ms
(- (- (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n) (* c_p (+ (* s (* s 1/8)) (+ (log 2) (* -1/2 s))))) (- (* c_n (log (- 1 (/ 1 (+ 1 (exp (- t))))))) (* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)))

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
23153
1881
0329

prune2.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

regimes139.0ms

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
256
156
040

end0.0ms

sample8.9m

Algorithm
intervals
Results
8.8m38155×body10240exit
2.9s41189×pre80true
609.0ms2942×body80valid
51.0ms26×body1280valid
45.0ms6×body5120valid
23.0ms9×body320valid
16.0ms5×body2560valid
15.0ms13×body640valid
14.0ms32×body160valid