Details

Time bar (total: 1.8m)

sample42.4s

Algorithm
intervals
Results
42.2s3389×body10240exit
78.0ms3646×pre80true
21.0ms249×body80valid
3.0ms2×body1280valid
3.0ms1×body2560valid
1.0ms3×body160valid
1.0ms2×body320valid

simplify25.0ms

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: 6.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.2b
(/ (* (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)))

rewrite142.0ms

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:
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
88.0ms
(/ (* (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)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
576.0ms
(/ (* (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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09765948
131425704
250015704

prune437.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (* s c_n))
0.0b
(* 0.5 (* s c_p))
0.0b
(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×diff-log associate-*r* *-commutative
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 50
Calls
3 calls:
5.0ms
(* 0.5 (* s c_n))
5.0ms
(* 0.5 (* s c_p))
43.0ms
(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 0.5 (* s c_n))
22.0ms
(* 0.5 (* s c_p))
53.0ms
(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))

simplify140.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0228292
1900254
24892245
35001245

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))

rewrite22.0ms

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×swap-sqr associate-*r* associate-*l* add-cbrt-cube 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:
7.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))
7.0ms
(cbrt (* 0.5 (* s c_n)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
89.0ms
(cbrt (* 0.5 (* s c_n)))
90.0ms
(cbrt (* 0.5 (* s c_n)))
90.0ms
(cbrt (* 0.5 (* s c_n)))

simplify92.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune211.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cbrt (* 0.5 (* s c_n))) 6)
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))
43.2b
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×unpow-prod-down
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×cbrt-prod add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
1×unpow1/3
Counts
4 → 62
Calls
4 calls:
2.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))
3.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series529.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
91.0ms
(cbrt (* 0.5 (* s c_n)))
90.0ms
(cbrt (* 0.5 (* s c_n)))
206.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify33.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254456
1869410
25002362

prune221.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.8b

regimes263.0ms

bsearch6.2s

Steps
ItersRangePoint
8
0.0005850058467282994
30.07761708423463
19.786462679016903
4
2.714844958703177e-162
4.776588496579418e-162
2.7741014599241647e-162

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06542
16542

end0.0ms

sample55.8s

Algorithm
intervals
Results
55.5s4569×body10240exit
100.0ms4907×pre80true
29.0ms324×body80valid
8.0ms2×body2560valid
6.0ms3×body1280valid
3.0ms4×body640valid
1.0ms2×body320valid
1.0ms3×body160valid