Details

Time bar (total: 9.7m)

sample55.2s

Algorithm
intervals
Results
54.7s3532×body10240exit
241.0ms3789×pre80true
75.0ms249×body80valid
7.0ms2×body1280valid
2.0ms4×body160valid
2.0ms1×body640valid
1.0ms1×body320valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
48112
3742
2141
152
022

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 1 (/ 1 (+ 1 (exp (- t)))))
0.2b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.0b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
3.2b
(/ (* (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)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log
692×pow-exp
684×prod-exp
593×div-exp
344×pow-to-exp
116×rec-exp 1-exp
42×*-un-lft-identity
36×unpow-prod-down
33×add-sqr-sqrt
29×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
8×pow1
6×pow-unpow pow-pow distribute-lft-out add-log-exp difference-of-squares
4×cbrt-undiv associate-/r/ cbrt-unprod insert-posit16 div-inv
2×flip3-+ flip-+ pow-flip distribute-lft-out-- inv-pow sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l*
Counts
4 → 476
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
135.0ms
(/ (* (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)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
56.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
55.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
509.0ms
(/ (* (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)))

simplify1.6s

Counts
488 → 488
Iterations
IterNodes
23883
11315
0451

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (/ 1 (+ 1 (exp (- s)))))
0.4b
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.2b
(log (/ 1 (+ 1 (exp (- t)))))
11.6b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
47×log-prod
43×*-un-lft-identity
34×add-sqr-sqrt
28×times-frac
21×add-cube-cbrt
16×add-log-exp
15×add-exp-log
9×pow1 rem-log-exp
7×log-pow difference-of-squares
6×flip3-+ flip-+ distribute-lft-out
4×log-div sum-log add-cbrt-cube diff-log div-exp associate-/r/ frac-sub insert-posit16
3×div-inv distribute-lft-out--
2×rec-exp flip3-- 1-exp log-rec pow-flip flip-- inv-pow
1×sub-neg associate--l+ associate--r+
Counts
4 → 117
Calls
4 calls:
6.0ms
(log (/ 1 (+ 1 (exp (- s)))))
26.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
6.0ms
(log (/ 1 (+ 1 (exp (- t)))))
48.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(log (/ 1 (+ 1 (exp (- s)))))
65.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
56.0ms
(log (/ 1 (+ 1 (exp (- t)))))
300.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify865.0ms

Counts
129 → 129
Iterations
IterNodes
22481
1808
0330

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
0.3b
(log (/ 1 (+ 1 (exp (- s)))))
0.4b
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
11.6b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
30×add-sqr-sqrt
29×log-prod
16×times-frac add-log-exp
15×add-cube-cbrt
12×add-exp-log
9×pow1
7×difference-of-squares
6×flip3-+ add-cbrt-cube flip-+
5×rem-log-exp
4×sum-log diff-log log-pow frac-sub insert-posit16
3×log-div associate-*r* associate-*l* distribute-lft-out distribute-lft-out--
2×flip3-- div-exp associate-*l/ associate-/r/ div-inv flip--
1×rec-exp sub-neg 1-exp log-rec pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod pow-flip associate--r+ inv-pow unswap-sqr
Counts
4 → 103
Calls
4 calls:
56.0ms
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
7.0ms
(log (/ 1 (+ 1 (exp (- s)))))
26.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
87.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series544.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
52.0ms
(log (/ 1 (+ 1 (exp (- s)))))
66.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
367.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify800.0ms

Counts
115 → 115
Iterations
IterNodes
22614
1791
0314

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
0.3b
(* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)
0.3b
(log (/ 1 (+ 1 (exp (- s)))))
11.6b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
20×associate-*l/
18×log-prod
16×add-cube-cbrt add-log-exp
14×flip3-+ flip-+
13×add-exp-log
12×times-frac frac-sub
10×pow1
8×add-cbrt-cube frac-add
6×flip3-- associate-*r* associate-*l* flip--
4×sum-log diff-log rem-log-exp insert-posit16
3×log-pow distribute-lft-out
2×div-exp pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod unswap-sqr
1×log-div rec-exp sub-neg 1-exp log-rec associate--l+ div-inv pow-flip associate--r+ distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 109
Calls
4 calls:
56.0ms
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
17.0ms
(* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)
6.0ms
(log (/ 1 (+ 1 (exp (- s)))))
87.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p)
57.0ms
(* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)
54.0ms
(log (/ 1 (+ 1 (exp (- s)))))
278.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (- (log 1/2) (* (* t t) 1/8)) (* t 1/2)) c_p) (* (- (log 1/2) (* t (+ (* 1/8 t) 1/2))) c_n)))

simplify2.1s

Counts
121 → 121
Iterations
IterNodes
24837
11008
0328

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes659.0ms

bsearch19.9s

Steps
ItersRangePoint
11
-2.51650267993756e+26
-208845.6743723419
-737553359.5598922

simplify16.0ms

Iterations
IterNodes
274
174
055

end0.0ms

sample8.2m

Algorithm
intervals
Results
8.1m36325×body10240exit
2.7s39126×pre80true
708.0ms2707×body80valid
79.0ms9×body5120valid
53.0ms25×body1280valid
31.0ms30×body160valid
30.0ms3×body2560valid
21.0ms19×body640valid
5.0ms8×body320valid