Details

Time bar (total: 3.2m)

sample53.3s

Algorithm
intervals
Results
52.8s3409×body10240exit
271.0ms3666×pre80true
50.0ms246×body80valid
11.0ms4×body1280valid
4.0ms7×body160valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
48112
3742
2141
152
022

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1 (/ 1 (+ 1 (exp (- s)))))
0.7b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.2b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
4.4b
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log
692×pow-exp
684×prod-exp
593×div-exp
344×pow-to-exp
116×rec-exp 1-exp
42×*-un-lft-identity
36×unpow-prod-down
33×add-sqr-sqrt
29×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
8×pow1
6×pow-unpow pow-pow distribute-lft-out add-log-exp difference-of-squares
4×cbrt-undiv associate-/r/ cbrt-unprod insert-posit16 div-inv
2×flip3-+ flip-+ pow-flip distribute-lft-out-- inv-pow sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l*
Counts
4 → 476
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
133.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series653.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ 1 (exp (- s)))))
58.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
56.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
512.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify1.5s

Counts
488 → 488
Iterations
IterNodes
23862
11313
0451

prune6.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
1.0b
(log (+ (exp (- s)) 1))
2.2b
(log (+ (exp (- t)) 1))
8.3b
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×add-sqr-sqrt
19×log-prod
16×add-log-exp
8×diff-log
7×pow1 add-exp-log add-cube-cbrt difference-of-squares
6×log-div flip3-- flip--
4×times-frac add-cbrt-cube frac-sub insert-posit16
3×sub-neg rem-log-exp log-pow distribute-lft-out--
2×flip3-+ associate--l+ flip-+ distribute-lft-out associate--r+
1×associate--l- div-inv associate--r-
Counts
4 → 83
Calls
4 calls:
39.0ms
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
8.0ms
(log (+ (exp (- s)) 1))
8.0ms
(log (+ (exp (- t)) 1))
47.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
51.0ms
(log (+ (exp (- s)) 1))
51.0ms
(log (+ (exp (- t)) 1))
292.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))

simplify639.0ms

Counts
95 → 95
Iterations
IterNodes
22071
1618
0257

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1 (/ 1 (+ (exp (- s)) 1)))
0.4b
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
1.0b
(log (+ (exp (- s)) 1))
8.3b
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (+ (+ (* t (* t 1/8)) (* t -1/2)) (log 2)) c_p)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×*-un-lft-identity
18×add-log-exp
15×log-prod
13×difference-of-squares
9×diff-log
8×times-frac
7×flip3-- flip--
6×pow1 add-exp-log add-cube-cbrt
5×distribute-lft-out--
4×log-div sub-neg add-cbrt-cube frac-sub insert-posit16
2×rem-log-exp associate--l+ log-pow div-inv associate--r+
1×associate--l- flip3-+ flip-+ distribute-lft-out associate--r-
Counts
4 → 88
Calls
4 calls:
41.0ms
(- 1 (/ 1 (+ (exp (- s)) 1)))
40.0ms
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
8.0ms
(log (+ (exp (- s)) 1))
42.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (+ (+ (* t (* t 1/8)) (* t -1/2)) (log 2)) c_p)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- 1 (/ 1 (+ (exp (- s)) 1)))
66.0ms
(log (- 1 (/ 1 (+ (exp (- t)) 1))))
51.0ms
(log (+ (exp (- s)) 1))
369.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* (log (+ (exp (- s)) 1)) c_p)) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (+ (+ (* t (* t 1/8)) (* t -1/2)) (log 2)) c_p)))

simplify923.0ms

Counts
100 → 100
Iterations
IterNodes
22129
1679
0273

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes406.0ms

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
246
146
035

end0.0ms

sample2.0m

Algorithm
intervals
Results
2.0m8703×body10240exit
370.0ms9368×pre80true
264.0ms11×body160valid
147.0ms642×body80valid
16.0ms7×body1280valid
8.0ms1×body2560valid
2.0ms2×body640valid
1.0ms2×body320valid