Details

Time bar (total: 8.6m)

sample44.4s

Algorithm
intervals
Results
44.1s3151×body10240exit
189.0ms3408×pre80true
29.0ms247×body80valid
6.0ms1×body2560valid
3.0ms3×body640valid
1.0ms3×body320valid
1.0ms1×body1280valid
1.0ms2×body160valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5005
3743
2143
154
022

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (/ 1 (+ 1 (exp (- s)))))
1.0b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.5b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.1b
(/ (* (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)))

rewrite326.0ms

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
103×*-un-lft-identity
76×add-sqr-sqrt
65×times-frac add-cube-cbrt
54×prod-diff
36×unpow-prod-down
16×add-cbrt-cube
15×distribute-lft-out
10×associate-/r/
8×pow1
7×div-inv
6×pow-unpow pow-pow add-log-exp difference-of-squares
5×flip3-+ flip-+
4×expm1-log1p-u cbrt-undiv cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-neg
2×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 → 541
Calls
4 calls:
49.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
18.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
18.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
208.0ms
(/ (* (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)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
55.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
57.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
519.0ms
(/ (* (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)))

simplify2.1s

Counts
553 → 553
Iterations
IterNodes
done5147
24057
11508
0555

prune988.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
1.2b
(log1p (exp (- s)))
1.5b
(log1p (exp (- t)))
10.6b
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (log1p (exp (- t))))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-log-exp
15×*-un-lft-identity
13×add-cube-cbrt
11×prod-diff
8×diff-log
6×expm1-log1p-u pow1 add-cbrt-cube add-exp-log
5×flip3-- flip--
4×frac-sub insert-posit16 log1p-expm1-u
3×sub-neg fma-neg associate-*r* associate-*l* associate--l+ associate--r+
2×log1p-udef log1p-expm1
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
0.0ms
(log1p (exp (- s)))
0.0ms
(log1p (exp (- t)))
59.0ms
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (log1p (exp (- t))))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
49.0ms
(log1p (exp (- s)))
52.0ms
(log1p (exp (- t)))
290.0ms
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (log1p (exp (- t))))))

simplify1.7s

Counts
101 → 101
Iterations
IterNodes
done5002
22263
1612
0243

prune654.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))
0.2b
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
1.2b
(log1p (exp (- s)))
10.6b
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity
16×add-log-exp
15×add-cube-cbrt
11×prod-diff
8×pow1 add-cbrt-cube diff-log add-exp-log
6×associate-*r* associate-*l*
5×expm1-log1p-u flip3-- flip--
4×frac-sub insert-posit16 log1p-expm1-u
3×sub-neg fma-neg associate--l+ associate--r+
2×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
1×associate--l- distribute-rgt-in log1p-udef distribute-lft-in log1p-expm1 distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 100
Calls
4 calls:
7.0ms
(* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))
6.0ms
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
0.0ms
(log1p (exp (- s)))
60.0ms
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))))

series582.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))
80.0ms
(* (log1p (/ -1 (+ 1 (exp (- t))))) c_n)
52.0ms
(log1p (exp (- s)))
372.0ms
(- (- (* (log1p (/ -1 (+ (exp (- s)) 1))) c_n) (* c_p (log1p (exp (- s))))) (- (* (log1p (/ -1 (+ 1 (exp (- t))))) c_n) (* c_p (fma t -1/2 (fma 1/8 (* t t) (log 2))))))

simplify2.1s

Counts
112 → 112
Iterations
IterNodes
done5001
22302
1649
0257

prune827.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes355.0ms

bsearch1.0ms

simplify13.0ms

Iterations
IterNodes
done70
170
055

end0.0ms

sample7.6m

Algorithm
intervals
Results
7.5m35434×body10240exit
2.9s38194×pre80true
334.0ms2685×body80valid
37.0ms21×body1280valid
16.0ms3×body5120valid
15.0ms4×body2560valid
10.0ms11×body640valid
7.0ms23×body160valid
6.0ms13×body320valid