Details

Time bar (total: 1.3m)

sample38.7s

Algorithm
intervals
Results
38.4s3144×body10240exit
76.0ms3400×pre80true
21.0ms247×body80valid
8.0ms4×body1280valid
1.0ms1×body640valid
1.0ms4×body160valid

simplify666.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
372843
done500043

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
2.4b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.7b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
557×add-exp-log
312×prod-exp
262×pow-exp
250×div-exp
183×pow-to-exp
53×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt add-cube-cbrt
20×add-cbrt-cube
18×unpow-prod-down
11×distribute-lft-out
9×associate-/r*
7×associate-/l*
6×cbrt-undiv associate-/r/
5×pow1
4×cbrt-unprod div-inv add-log-exp
3×pow-unpow frac-2neg flip3-+ clear-num flip-+
1×pow-pow sqr-pow
Counts
4 → 285
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
8.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
12.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
95.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series691.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
25.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
573.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify749.0ms

Counts
297 → 297
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
031810769
18689981
223189675
done50009675

prune496.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
0.3b
(* c_p (+ (log 0.5) (* 0.5 t)))
2.2b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
172×add-exp-log
88×prod-exp
66×div-exp
53×pow-exp
41×pow-to-exp
40×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
24×add-cube-cbrt
22×add-cbrt-cube
9×associate-/r*
8×distribute-lft-out
7×associate-/l*
6×pow1 cbrt-undiv associate-/r/
5×cbrt-unprod
4×flip3-+ flip-+ add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num div-inv
2×associate-*r/ associate-*l/
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative unswap-sqr
Counts
4 → 159
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
8.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
9.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
89.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
25.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
101.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
696.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify841.0ms

Counts
171 → 171
Iterations

Useful iterations: 2 (310.0ms)

IterNodesCost
02785180
17884835
228114467
done50004467

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (* s c_n))
0.2b
(* 0.5 (* s c_p))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
5.0ms
(* 0.5 (* s c_n))
6.0ms
(* 0.5 (* s c_p))

series40.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* 0.5 (* s c_n))
18.0ms
(* 0.5 (* s c_p))

simplify3.9s

Counts
42 → 42
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
059308
1153302
2532242
31748242
43682242
done5001242

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
0.2b
(* (pow (log 0.5) 2) (pow c_p 2))
0.2b
(* 0.5 (* s c_p))
1.0b
(pow (log 0.5) 2)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
31×prod-exp
28×add-sqr-sqrt
19×unpow-prod-down
16×add-cbrt-cube unswap-sqr
15×associate-*l*
14×pow1
13×pow-to-exp pow-exp
12×add-cube-cbrt *-un-lft-identity
11×unpow2 sqr-pow
10×associate-*r*
7×cbrt-unprod
5×pow-prod-down
4×add-log-exp
3×pow-unpow *-commutative
2×log-pow
1×pow-pow
Counts
4 → 114
Calls
4 calls:
10.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
10.0ms
(* (pow (log 0.5) 2) (pow c_p 2))
5.0ms
(* 0.5 (* s c_p))
1.0ms
(pow (log 0.5) 2)

series346.0ms

Counts
4 → 10
Calls
4 calls:
177.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
150.0ms
(* (pow (log 0.5) 2) (pow c_p 2))
19.0ms
(* 0.5 (* s c_p))
0.0ms
(pow (log 0.5) 2)

simplify776.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
01461355
13411176
21241983
done5000983

prune205.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

regimes359.0ms

bsearch22.7s

Steps
ItersRangePoint
12
66230935.316549905
1.317735661468664e+52
1089626354.9279778
4
1.4962517392744832e-65
2.952938552295555e-65
2.894827657829975e-65

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
040109
15866
done5866

end0.0ms

sample7.2s

Algorithm
intervals
Results
7.1s611×body10240exit
12.0ms646×pre80true
3.0ms35×body80valid