Details

Time bar (total: 1.7m)

sample38.5s

Algorithm
intervals
Results
38.2s2933×body10240exit
82.0ms3189×pre80true
26.0ms248×body80valid
9.0ms4×body1280valid
6.0ms2×body2560valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify261.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
373543
done500043

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.3b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.9b
(/ (* (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)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
97×*-un-lft-identity
70×add-sqr-sqrt
65×add-cube-cbrt
62×times-frac
54×prod-diff
36×unpow-prod-down
16×add-cbrt-cube
15×distribute-lft-out
10×associate-/r/
6×pow1 pow-unpow div-inv add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u
3×fma-neg
2×pow-pow difference-of-squares sqr-pow
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- associate-/l* distribute-lft-out--
Counts
4 → 332
Calls
4 calls:
22.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
12.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
91.0ms
(/ (* (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)))

series767.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
580.0ms
(/ (* (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)))

simplify1.6s

Counts
344 → 344
Iterations

Useful iterations: done (1.6s)

IterNodesCost
047114274
1129113014
2416211668
done500011665

prune622.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* 0.5 (* s c_n))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 0.5 (* s c_n))

simplify2.6s

Counts
23 → 23
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
037166
188163
2288133
3928133
41938133
53809133
done5001133

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.3b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.0b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
169×add-exp-log
145×*-un-lft-identity
109×add-sqr-sqrt
108×prod-diff
99×add-cube-cbrt
87×times-frac prod-exp
65×div-exp
55×pow-exp
42×pow-to-exp
21×distribute-lft-out
18×unpow-prod-down
16×add-cbrt-cube
14×associate-/r/
8×div-inv add-log-exp
7×flip3-+ flip-+
6×fma-neg
5×pow1
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u difference-of-squares
3×pow-unpow
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×pow-pow frac-2neg clear-num associate-/r* associate-/l* sqr-pow
Counts
4 → 254
Calls
4 calls:
23.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
22.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
80.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
51.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
72.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
723.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify442.0ms

Counts
266 → 266
Iterations

Useful iterations: done (430.0ms)

IterNodesCost
055011940
1145210677
done50019562

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

1.5b
(pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p)
1.5b
(pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)
2.9b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (* (pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p) (pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
3.8b
(- (exp (- t)) 1.0)

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
2018×add-exp-log
1455×prod-exp
962×pow-exp
758×div-exp
724×pow-to-exp
59×*-un-lft-identity
48×unpow-prod-down
29×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt
25×add-cbrt-cube
15×distribute-lft-out
12×cube-prod
9×prod-diff cbrt-unprod
6×pow1 cbrt-undiv pow-unpow add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg sum-cubes
2×pow-pow associate-/r/ div-inv sqr-pow
1×sub-neg flip3-- frac-2neg flip3-+ diff-log clear-num associate-/r* flip-- flip-+ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 638
Calls
4 calls:
33.0ms
(pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p)
1.0ms
(pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)
227.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (* (pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p) (pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
11.0ms
(- (exp (- t)) 1.0)

series972.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p)
105.0ms
(pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)
764.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (* (pow (/ 1.0 (+ (pow 1.0 3) (pow (exp (- t)) 3))) c_p) (pow (fma 1.0 1.0 (* (exp (- t)) (- (exp (- t)) 1.0))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
16.0ms
(- (exp (- t)) 1.0)

simplify2.5s

Counts
650 → 650
Iterations

Useful iterations: 2 (882.0ms)

IterNodesCost
047839399
1146136603
2458835936
done500035936

prune625.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes614.0ms

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03561
14561
done4561

end0.0ms

sample49.1s

Algorithm
intervals
Results
48.7s3838×body10240exit
99.0ms4144×pre80true
27.0ms295×body80valid
8.0ms4×body1280valid
6.0ms2×body2560valid
1.0ms2×body320valid
1.0ms1×body640valid
0.0ms2×body160valid