Details

Time bar (total: 2.4m)

sample37.9s

Algorithm
intervals
Results
37.6s3105×body10240exit
58.0ms3362×pre80true
22.0ms252×body80valid
2.0ms1×body2560valid
2.0ms1×body1280valid
1.0ms2×body640valid
0.0ms1×body320valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

rewrite246.0ms

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×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
28.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
161.0ms
(/ (* (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)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
62.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
63.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
528.0ms
(/ (* (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)))

simplify100.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09765948
131425704
250015704

prune417.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
15.0ms
(* 0.5 (* s c_n))
17.0ms
(* 0.5 (* s c_p))

series33.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* 0.5 (* s c_n))
17.0ms
(* 0.5 (* s c_p))

simplify54.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune73.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
171×add-exp-log
88×prod-exp
65×div-exp
55×pow-exp
42×pow-to-exp
23×*-un-lft-identity
22×add-sqr-sqrt
18×unpow-prod-down add-cbrt-cube
15×add-cube-cbrt
14×times-frac
7×pow1
6×add-log-exp
5×cbrt-unprod
4×cbrt-undiv associate-/r/
3×pow-unpow flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
2×associate-*r/ associate-*l/ div-inv difference-of-squares
1×distribute-rgt-in sub-neg flip3-- pow-pow frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative flip-- associate-/l* distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 141
Calls
4 calls:
28.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
18.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
150.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
87.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
63.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
633.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify100.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
09232823
140472572
250022572

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b
(* c_p (+ (log 0.5) (* 0.5 s)))
0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
1.2b
(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
26×prod-exp
20×add-cbrt-cube
17×add-sqr-sqrt
16×div-exp
10×*-un-lft-identity
8×pow1 pow-to-exp add-cube-cbrt pow-exp
6×associate-*r* associate-*l* cbrt-unprod add-log-exp
4×cbrt-undiv flip3-+ associate-*r/ associate-*l/ flip-+
2×distribute-rgt-in distribute-lft-in times-frac pow-prod-down associate-/r/ *-commutative associate-/l/ difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- div-inv associate-/l* distribute-lft-out--
Counts
4 → 96
Calls
4 calls:
28.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
18.0ms
(* c_p (+ (log 0.5) (* 0.5 s)))
18.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
138.0ms
(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series798.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
89.0ms
(* c_p (+ (log 0.5) (* 0.5 s)))
89.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
575.0ms
(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify92.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08301759
138461486
250021486

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes480.0ms

bsearch9.7s

Steps
ItersRangePoint
10
-4.840289906362228e+18
-9835050.971476585
-10327234789348778.0

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05552
15552

end0.0ms

sample1.5m

Algorithm
intervals
Results
1.5m7581×body10240exit
135.0ms8159×pre80true
49.0ms567×body80valid
6.0ms1×body5120valid
4.0ms2×body1280valid
2.0ms1×body2560valid
2.0ms4×body320valid
1.0ms2×body640valid
0.0ms1×body160valid