Details

Time bar (total: 7.3m)

sample40.5s

Algorithm
intervals
Results
40.3s3253×body10240exit
72.0ms3509×pre80true
22.0ms246×body80valid
6.0ms1×body2560valid
5.0ms3×body1280valid
2.0ms2×body640valid
1.0ms3×body320valid
0.0ms1×body160valid

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: 4.8b

localize24.0ms

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)
1.7b
(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)))

rewrite156.0ms

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:
19.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
97.0ms
(/ (* (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)))

series763.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
581.0ms
(/ (* (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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
09765948
131425704
250015704

prune469.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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)
1.0b
(/ (* (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 (- t)))))
10.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
89.0ms
(/ (* (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)))

series912.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
95.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
698.0ms
(/ (* (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
09232823
140472572
250022572

prune472.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

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)))
1.0b
(/ (* (+ 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)))

rewrite119.0ms

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:
17.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
9.0ms
(* c_p (+ (log 0.5) (* 0.5 s)))
10.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
80.0ms
(/ (* (+ 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)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
97.0ms
(* c_p (+ (log 0.5) (* 0.5 s)))
99.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
626.0ms
(/ (* (+ 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)))

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08301759
138461486
250021486

prune431.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.020833333333333336 (pow t 3))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b
(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 (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
561×add-exp-log
315×prod-exp
265×pow-exp
249×div-exp
185×pow-to-exp
40×unpow-prod-down
38×*-un-lft-identity
33×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
18×add-cbrt-cube
12×associate-*r*
6×pow1 pow-unpow distribute-lft-out
5×cbrt-unprod
4×cbrt-undiv cube-prod associate-/r/ add-log-exp unswap-sqr sqr-pow
3×associate-*l* div-inv
2×pow-pow flip3-+ flip-+
1×cube-mult frac-2neg unpow3 clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 283
Calls
4 calls:
8.0ms
(* 0.020833333333333336 (pow t 3))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
86.0ms
(/ (* (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 (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 0.020833333333333336 (pow t 3))
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
621.0ms
(/ (* (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 (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

simplify115.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
010305901
135855660
250025660

prune614.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

regimes434.0ms

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05251
15251

end0.0ms

sample6.5m

Algorithm
intervals
Results
6.5m31523×body10240exit
652.0ms34021×pre80true
217.0ms2427×body80valid
45.0ms5×body5120valid
22.0ms7×body2560valid
18.0ms10×body1280valid
11.0ms16×body640valid
5.0ms22×body160valid
4.0ms11×body320valid