Details

Time bar (total: 4.5m)

sample49.4s

Algorithm
intervals
Results
48.7s3341×body10240exit
396.0ms3598×pre80true
91.0ms251×body80valid
2.0ms2×body640valid
1.0ms1×body1280valid
1.0ms2×body160valid
0.0ms1×body320valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
3847
2147
153
022

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b
(/ (* (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)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
36×unpow-prod-down *-un-lft-identity
27×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
6×pow1 pow-unpow distribute-lft-out add-log-exp
4×cbrt-undiv associate-/r/ cbrt-unprod
3×div-inv
2×pow-pow flip3-+ flip-+ difference-of-squares sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
25.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
134.0ms
(/ (* (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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
52.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
74.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
879.0ms
(/ (* (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)))

simplify1.8s

Counts
279 → 279
Iterations
IterNodes
done5000
24333
11202
0366

prune682.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube add-exp-log
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
11.0ms
(* 0.5 (* c_n s))
12.0ms
(* 0.5 (* c_p s))

series42.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* 0.5 (* c_n s))
22.0ms
(* 0.5 (* c_p s))

simplify1.7s

Counts
42 → 42
Iterations
IterNodes
done5000
32493
2589
1158
060

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize90.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)
0.5b
(log (/ 1.0 (+ 1.0 (exp (- t)))))
1.0b
(log (/ 1.0 (+ 1.0 (exp (- s)))))
10.5b
(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod *-un-lft-identity
26×add-sqr-sqrt
24×times-frac
22×add-cube-cbrt
16×add-log-exp
12×add-exp-log
9×pow1
6×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
4×sum-log diff-log rem-log-exp associate-*l* associate-/r/ frac-sub
3×associate-*r* log-pow
2×log-div div-exp div-inv
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-- associate--r+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 100
Calls
4 calls:
7.0ms
(* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)
7.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
8.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
43.0ms
(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p)
77.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
78.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
398.0ms
(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done5000
22837
1803
0324

prune754.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

regimes882.0ms

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
011

end0.0ms

sample3.5m

Algorithm
intervals
Results
3.5m16104×body10240exit
1.1s17389×pre80true
155.0ms1243×body80valid
21.0ms12×body1280valid
12.0ms3×body2560valid
8.0ms1×body5120valid
5.0ms7×body640valid
4.0ms16×body160valid
1.0ms3×body320valid