Details

Time bar (total: 4.0m)

sample47.5s

Algorithm
intervals
Results
47.1s3326×body10240exit
128.0ms3582×pre80true
31.0ms250×body80valid
4.0ms2×body1280valid
2.0ms1×body640valid
1.0ms3×body160valid

simplify584.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
3847
2147
153
022

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b
(/ (* (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)))

rewrite207.0ms

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×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
23.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
136.0ms
(/ (* (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)))

series790.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
600.0ms
(/ (* (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)))

simplify975.0ms

Counts
279 → 279
Iterations
IterNodes
done5000
24334
11202
0366

prune591.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* s c_n) 0.5)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
13.0ms
(* (* s c_n) 0.5)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* (* s c_n) 0.5)

simplify288.0ms

Counts
21 → 21
Iterations
IterNodes
done5001
2604
1103
040

prune75.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* s 0.5) c_n)) (cbrt (* (* s 0.5) c_n)))
28.8b
(cbrt (* (* s 0.5) c_n))
28.8b
(cbrt (* (* s 0.5) c_n))
28.8b
(cbrt (* (* s 0.5) c_n))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
19.0ms
(* (cbrt (* (* s 0.5) c_n)) (cbrt (* (* s 0.5) c_n)))
9.0ms
(cbrt (* (* s 0.5) c_n))
9.0ms
(cbrt (* (* s 0.5) c_n))
9.0ms
(cbrt (* (* s 0.5) c_n))

series413.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (* (* s 0.5) c_n)) (cbrt (* (* s 0.5) c_n)))
93.0ms
(cbrt (* (* s 0.5) c_n))
92.0ms
(cbrt (* (* s 0.5) c_n))
95.0ms
(cbrt (* (* s 0.5) c_n))

simplify336.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
2786
1224
087

prune333.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

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-*l/ associate-*r/ div-inv difference-of-squares
1×distribute-rgt-in clear-num associate-/r* sub-neg pow-pow frac-2neg distribute-lft-in flip3-- diff-log pow-prod-down *-commutative flip-- associate-/l* distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 141
Calls
4 calls:
23.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms
(* c_p (+ (* 0.5 t) (log 0.5)))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
131.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
104.0ms
(* c_p (+ (* 0.5 t) (log 0.5)))
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
734.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (* 0.5 t) (log 0.5))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify350.0ms

Counts
153 → 153
Iterations
IterNodes
done5000
11062
0332

prune613.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes625.0ms

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done20
120
013

end0.0ms

sample3.1m

Algorithm
intervals
Results
3.1m14616×body10240exit
497.0ms15772×pre80true
114.0ms1117×body80valid
18.0ms3×body5120valid
10.0ms6×body1280valid
8.0ms9×body640valid
5.0ms16×body160valid
3.0ms1×body2560valid
2.0ms4×body320valid