Details

Time bar (total: 3.1m)

sample52.0s

Algorithm
intervals
Results
51.6s3409×body10240exit
206.0ms3666×pre80true
52.0ms246×body80valid
9.0ms4×body1280valid
4.0ms7×body160valid

simplify832.0ms

Counts
1 → 1
Iterations
IterNodes
done2041
42041
3743
2143
154
022

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1 (/ 1 (+ 1 (exp (- s)))))
0.7b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.2b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.4b
(/ (* (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)))

rewrite212.0ms

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 (- s)))))
14.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
13.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
138.0ms
(/ (* (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)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
57.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
56.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
525.0ms
(/ (* (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)))

simplify1.0s

Counts
488 → 488
Iterations
IterNodes
done2014
22014
11461
0451

prune6.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.0b
(log (/ 1 (+ 1 (exp (- s)))))
2.2b
(log (/ 1 (+ 1 (exp (- t)))))
8.3b
(- (+ (* (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)))

rewrite90.0ms

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:
27.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
8.0ms
(log (/ 1 (+ 1 (exp (- s)))))
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)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
59.0ms
(log (/ 1 (+ 1 (exp (- s)))))
56.0ms
(log (/ 1 (+ 1 (exp (- t)))))
312.0ms
(- (+ (* (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)))

simplify951.0ms

Counts
129 → 129
Iterations
IterNodes
done2000
22000
1812
0330

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1 (/ 1 (+ 1 (exp (- s)))))
0.4b
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
1.0b
(log (/ 1 (+ 1 (exp (- s)))))
8.3b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* t 1/2) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
29×log-prod
20×times-frac
18×add-log-exp
13×add-cube-cbrt difference-of-squares
10×add-exp-log
7×pow1
5×flip3-+ diff-log rem-log-exp flip-+ distribute-lft-out--
4×sum-log add-cbrt-cube log-pow frac-sub insert-posit16
3×log-div flip3-- div-inv flip-- distribute-lft-out
2×sub-neg div-exp associate-/r/
1×rec-exp 1-exp log-rec associate--l+ pow-flip associate--r+ inv-pow
Counts
4 → 103
Calls
4 calls:
28.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
26.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
6.0ms
(log (/ 1 (+ 1 (exp (- s)))))
79.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* t 1/2) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
67.0ms
(log (- 1 (/ 1 (+ 1 (exp (- t))))))
55.0ms
(log (/ 1 (+ 1 (exp (- s)))))
372.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* t 1/2) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify938.0ms

Counts
115 → 115
Iterations
IterNodes
done2002
22002
1797
0316

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

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

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes344.0ms

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done47
147
034

end0.0ms

sample2.0m

Algorithm
intervals
Results
2.0m8703×body10240exit
511.0ms9368×pre80true
140.0ms642×body80valid
16.0ms7×body1280valid
8.0ms1×body2560valid
5.0ms11×body160valid
2.0ms2×body640valid
1.0ms2×body320valid