Details

Time bar (total: 5.8m)

sample41.7s

Algorithm
intervals
Results
41.4s3211×body10240exit
61.0ms3468×pre80true
21.0ms250×body80valid
2.0ms2×body1280valid
1.0ms4×body160valid
1.0ms1×body640valid

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: 5.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(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)))

rewrite237.0ms

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 (- s)))))
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
155.0ms
(/ (* (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)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
63.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
61.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
533.0ms
(/ (* (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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09765948
131425704
250015704

prune410.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
16.0ms
(* 0.5 (* s c_p))
14.0ms
(* 0.5 (* s c_n))

series33.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
0.5b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b
(/ (* (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)))

rewrite218.0ms

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:
18.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
27.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
148.0ms
(/ (* (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)))

series841.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
64.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
642.0ms
(/ (* (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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09222823
140792572
250012572

prune421.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

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)

rewrite63.0ms

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:
25.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
14.0ms
(* 0.5 (* s c_p))
18.0ms
(* (pow (log 0.5) 2) (pow c_p 2))
3.0ms
(pow (log 0.5) 2)

series341.0ms

Counts
4 → 10
Calls
4 calls:
173.0ms
(* 1/2 (* (pow (log 0.5) 2) (pow c_p 2)))
17.0ms
(* 0.5 (* s c_p))
151.0ms
(* (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

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.8b

regimes152.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1186

end0.0ms

sample5.0m

Algorithm
intervals
Results
5.0m24468×body10240exit
409.0ms26383×pre80true
149.0ms1861×body80valid
18.0ms3×body5120valid
16.0ms11×body1280valid
10.0ms12×body640valid
5.0ms21×body160valid
5.0ms2×body2560valid
2.0ms5×body320valid