Details

Time bar (total: 5.2m)

sample44.3s

Algorithm
intervals
Results
44.1s3485×body10240exit
90.0ms3741×pre80true
22.0ms248×body80valid
3.0ms1×body2560valid
1.0ms5×body160valid
1.0ms2×body320valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.9b
(/ (* (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)))

rewrite154.0ms

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:
17.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
95.0ms
(/ (* (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)))

series764.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
65.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
579.0ms
(/ (* (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)))

simplify101.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09765948
131425704
250015704

prune465.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
5.0ms
(* 0.5 (* s c_n))
6.0ms
(* 0.5 (* s c_p))

series37.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* 0.5 (* s c_n))
19.0ms
(* 0.5 (* s c_p))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(/ (* (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)))

rewrite133.0ms

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:
17.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
9.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
12.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
88.0ms
(/ (* (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)))

series915.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
100.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
699.0ms
(/ (* (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
09222823
140792572
250012572

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
0.0b
(* 0.5 (* s c_p))
0.2b
(* (pow (log 0.5) 2) (pow c_p 2))
1.0b
(pow (log 0.5) 2)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
31×prod-exp
28×add-sqr-sqrt
19×unpow-prod-down
16×add-cbrt-cube unswap-sqr
15×associate-*l*
14×pow1
13×pow-to-exp pow-exp
12×add-cube-cbrt *-un-lft-identity
11×unpow2 sqr-pow
10×associate-*r*
7×cbrt-unprod
5×pow-prod-down
4×add-log-exp
3×pow-unpow *-commutative
2×log-pow
1×pow-pow
Counts
4 → 114
Calls
4 calls:
11.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
6.0ms
(* 0.5 (* s c_p))
10.0ms
(* (pow (log 0.5) 2) (pow c_p 2))
1.0ms
(pow (log 0.5) 2)

series349.0ms

Counts
4 → 10
Calls
4 calls:
177.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
18.0ms
(* 0.5 (* s c_p))
154.0ms
(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms
(pow (log 0.5) 2)

simplify44.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343646
11473541
25001535

prune222.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes459.0ms

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05232
15232

end0.0ms

sample4.4m

Algorithm
intervals
Results
4.4m21497×body10240exit
493.0ms23205×pre80true
143.0ms1660×body80valid
59.0ms7×body5120valid
15.0ms8×body1280valid
7.0ms18×body160valid
4.0ms5×body640valid
3.0ms9×body320valid
2.0ms1×body2560valid