Details

Time bar (total: 1.3m)

sample40.8s

Algorithm
intervals
Results
40.5s3348×body10240exit
70.0ms3604×pre80true
20.0ms246×body80valid
2.0ms1×body1280valid
2.0ms5×body320valid
2.0ms2×body640valid
0.0ms2×body160valid

simplify542.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
383943
done500143

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.9b
(/ (* (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)))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
97×*-un-lft-identity
70×add-sqr-sqrt
65×add-cube-cbrt
62×times-frac
54×prod-diff
36×unpow-prod-down
16×add-cbrt-cube
15×distribute-lft-out
10×associate-/r/
6×pow1 pow-unpow div-inv add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u
3×fma-neg
2×pow-pow 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 → 332
Calls
4 calls:
38.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
160.0ms
(/ (* (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)))

series806.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
67.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
617.0ms
(/ (* (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)))

simplify1.3s

Counts
344 → 344
Iterations

Useful iterations: done (1.2s)

IterNodesCost
047114274
1113613014
2319711812
done500011521

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
15.0ms
(* 0.5 (* s c_n))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 0.5 (* s c_n))

simplify5.4s

Counts
23 → 23
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
037166
187163
2300133
31003133
42173133
54443133
done5001133

prune52.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.1b
(cbrt (* 0.5 (* s c_n)))
25.1b
(cbrt (* 0.5 (* s c_n)))
25.1b
(cbrt (* 0.5 (* s c_n)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
25.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
10.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
87.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))
88.0ms
(cbrt (* 0.5 (* s c_n)))

simplify2.1s

Counts
78 → 78
Iterations

Useful iterations: done (2.1s)

IterNodesCost
090926
1211836
2546740
31447648
44040606
done5000573

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (expm1 (log1p (pow (cbrt (* 0.5 (* s c_n))) 2))) (cbrt (* 0.5 (* s c_n))))
0.4b
(pow (cbrt (* 0.5 (* s c_n))) 2)
25.1b
(cbrt (* 0.5 (* s c_n)))
25.1b
(cbrt (* 0.5 (* s c_n)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
5×add-cbrt-cube
4×cbrt-prod expm1-log1p-u unpow-prod-down associate-*r* log1p-expm1-u add-log-exp
3×pow-unpow pow1/3 associate-*l*
2×pow-pow
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unpow2 unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
14.0ms
(* (expm1 (log1p (pow (cbrt (* 0.5 (* s c_n))) 2))) (cbrt (* 0.5 (* s c_n))))
5.0ms
(pow (cbrt (* 0.5 (* s c_n))) 2)
9.0ms
(cbrt (* 0.5 (* s c_n)))
11.0ms
(cbrt (* 0.5 (* s c_n)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (expm1 (log1p (pow (cbrt (* 0.5 (* s c_n))) 2))) (cbrt (* 0.5 (* s c_n))))
111.0ms
(pow (cbrt (* 0.5 (* s c_n))) 2)
87.0ms
(cbrt (* 0.5 (* s c_n)))
87.0ms
(cbrt (* 0.5 (* s c_n)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01091055
1243910
2635753
32374672
done5000626

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

regimes301.0ms

bsearch4.1s

Steps
ItersRangePoint
7
-3.025124901161407e-85
-3.93582189379848e-87
-1.2746153720116945e-86

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04374
15474
done5474

end0.0ms

sample18.3s

Algorithm
intervals
Results
18.2s1527×body10240exit
28.0ms1644×pre80true
9.0ms112×body80valid
6.0ms1×body5120valid
2.0ms3×body640valid
0.0ms1×body160valid