Details

Time bar (total: 3.3m)

sample57.8s

Algorithm
intervals
Results
57.3s3463×body10240exit
220.0ms3719×pre80true
77.0ms243×body80valid
13.0ms5×body1280valid
3.0ms7×body160valid
1.0ms1×body320valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
48112
3742
2141
152
022

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 (exp (- s))))
1.0b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.2b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
2.9b
(/ (* (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)))

rewrite192.0ms

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:
12.0ms
(/ 1 (+ 1 (exp (- s))))
14.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
13.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
139.0ms
(/ (* (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)))

series696.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1 (+ 1 (exp (- s))))
60.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
60.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
555.0ms
(/ (* (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)))

simplify1.7s

Counts
505 → 505
Iterations
IterNodes
23840
11278
0432

prune7.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (+ 1 (exp (- t)))) c_p)
1.0b
(log (+ 1 (exp (- s))))
2.2b
(log (+ 1 (exp (- t))))
6.8b
(- (- (* (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)))

rewrite376.0ms

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:
7.0ms
(* (log (+ 1 (exp (- t)))) c_p)
8.0ms
(log (+ 1 (exp (- s))))
5.0ms
(log (+ 1 (exp (- t))))
355.0ms
(- (- (* (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)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (log (+ 1 (exp (- t)))) c_p)
49.0ms
(log (+ 1 (exp (- s))))
54.0ms
(log (+ 1 (exp (- t))))
306.0ms
(- (- (* (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)))

simplify775.0ms

Counts
114 → 114
Iterations
IterNodes
22309
1736
0295

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b
(* c_p (log (+ 1 (exp (- s)))))
0.2b
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
1.0b
(log (+ 1 (exp (- s))))
7.0b
(- (- (* (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)))

rewrite384.0ms

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:
15.0ms
(* c_p (log (+ 1 (exp (- s)))))
253.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
5.0ms
(log (+ 1 (exp (- s))))
108.0ms
(- (- (* (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)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* c_p (log (+ 1 (exp (- s)))))
65.0ms
(* (- (+ (* (* t t) 1/8) (log 2)) (* 1/2 t)) c_p)
50.0ms
(log (+ 1 (exp (- s))))
399.0ms
(- (- (* (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)))

simplify1.0s

Counts
127 → 127
Iterations
IterNodes
22442
1746
0286

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (* c_p s))
0.0b
(- (+ (* 1/2 (* c_p s)) 1) (* 1/2 (* c_n s)))
0.0b
(* 1/2 (* c_n s))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
8×add-log-exp
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×insert-posit16
2×diff-log associate-*r* *-commutative
1×sum-log sub-neg flip3-- associate--l+ flip--
Counts
3 → 53
Calls
3 calls:
13.0ms
(* 1/2 (* c_p s))
82.0ms
(- (+ (* 1/2 (* c_p s)) 1) (* 1/2 (* c_n s)))
13.0ms
(* 1/2 (* c_n s))

series103.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* 1/2 (* c_p s))
60.0ms
(- (+ (* 1/2 (* c_p s)) 1) (* 1/2 (* c_n s)))
22.0ms
(* 1/2 (* c_n s))

simplify809.0ms

Counts
62 → 62
Iterations
IterNodes
32767
2698
1238
090

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes602.0ms

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
244
144
035

end0.0ms

sample2.0m

Algorithm
intervals
Results
1.9m8138×body10240exit
575.0ms8765×pre80true
387.0ms598×body80valid
20.0ms9×body1280valid
7.0ms15×body160valid
6.0ms1×body5120valid
2.0ms2×body640valid
1.0ms2×body320valid