Details

Time bar (total: 1.2m)

sample50.3s

Algorithm
intervals
Results
49.9s3358×body10240exit
119.0ms3614×pre80true
31.0ms246×body80valid
7.0ms2×body2560valid
3.0ms3×body640valid
1.0ms3×body160valid
1.0ms2×body320valid

simplify528.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
384743
done500043

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b
(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)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
558×add-exp-log
312×prod-exp
264×pow-exp
250×div-exp
184×pow-to-exp
51×*-un-lft-identity
37×times-frac
36×unpow-prod-down
31×add-sqr-sqrt add-cube-cbrt
18×add-cbrt-cube
10×distribute-lft-out
6×pow1 pow-unpow associate-/r/
5×cbrt-undiv associate-/r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×pow-pow frac-2neg clear-num sqr-pow
Counts
4 → 293
Calls
4 calls:
17.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
20.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
172.0ms
(/ (* (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)))

series804.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
72.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
634.0ms
(/ (* (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)))

simplify1.6s

Counts
305 → 305
Iterations

Useful iterations: 2 (806.0ms)

IterNodesCost
036011071
1121210412
244999915
done50009915

prune592.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite16.0ms

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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 0.5 (* s c_n))

simplify1.9s

Counts
23 → 23
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
037166
187163
2305133
31283133
done5000133

prune50.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
28.1b
(cbrt (* 0.5 (* s c_n)))
28.1b
(cbrt (* 0.5 (* s c_n)))
28.1b
(cbrt (* 0.5 (* s c_n)))

rewrite60.0ms

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:
24.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
10.0ms
(cbrt (* 0.5 (* s c_n)))
14.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
94.0ms
(cbrt (* 0.5 (* s c_n)))
94.0ms
(cbrt (* 0.5 (* s c_n)))
94.0ms
(cbrt (* 0.5 (* s c_n)))

simplify475.0ms

Counts
78 → 78
Iterations

Useful iterations: done (473.0ms)

IterNodesCost
090926
1229836
2810740
done5001686

prune281.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (* s c_n))
0.2b
(expm1 (log1p (* 0.5 (* s c_n))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×expm1-log1p associate-*r* *-commutative expm1-udef
Counts
2 → 31
Calls
2 calls:
15.0ms
(* 0.5 (* s c_n))
0.0ms
(expm1 (log1p (* 0.5 (* s c_n))))

series268.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* 0.5 (* s c_n))
248.0ms
(expm1 (log1p (* 0.5 (* s c_n))))

simplify2.1s

Counts
37 → 37
Iterations

Useful iterations: done (2.1s)

IterNodesCost
073344
1173311
2614265
34278253
done5000249

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.6b

regimes275.0ms

bsearch11.0s