Details

Time bar (total: 50.3s)

sample37.1s

Algorithm
intervals
Results
36.9s2993×body10240exit
70.0ms3249×pre80true
22.0ms245×body80valid
5.0ms3×body1280valid
2.0ms3×body640valid
2.0ms1×body2560valid
1.0ms4×body160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.9b
(/ (* (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)))

rewrite80.0ms

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:
9.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
40.0ms
(/ (* (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)))

series752.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
67.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
67.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
568.0ms
(/ (* (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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
09765948
131425704
250015704

prune382.0ms

Filtered
279 candidates to 79 candidates (28.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2763279
Fresh000
Picked101
Done000
Total2773280

Merged error: 1.0b

Counts
280 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (* s c_n))
0.0b
(* 0.5 (* s c_p))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
4.0ms
(* 0.5 (* s c_n))
4.0ms
(* 0.5 (* s c_p))

series37.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* 0.5 (* s c_n))
18.0ms
(* 0.5 (* s c_p))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune63.0ms

Filtered
42 candidates to 22 candidates (52.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh022
Picked011
Done000
Total40545

Merged error: 1.0b

Counts
45 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
24.1b
(cbrt (* 0.5 (* s c_n)))
24.1b
(cbrt (* 0.5 (* s c_n)))
24.1b
(cbrt (* 0.5 (* s c_n)))

rewrite17.0ms

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:
5.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
3.0ms
(cbrt (* 0.5 (* s c_n)))
3.0ms
(cbrt (* 0.5 (* s c_n)))
3.0ms
(cbrt (* 0.5 (* s c_n)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
89.0ms
(cbrt (* 0.5 (* s c_n)))
88.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))

simplify93.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune185.0ms

Filtered
70 candidates to 56 candidates (80.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh033
Picked101
Done101
Total70575

Merged error: 1.0b

Counts
75 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cbrt (* 0.5 (* s c_n))) 6)
24.1b
(cbrt (* 0.5 (* s c_n)))
24.1b
(cbrt (* 0.5 (* s c_n)))
44.9b
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite15.0ms

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:
3.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
3.0ms
(cbrt (* 0.5 (* s c_n)))
3.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series521.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
90.0ms
(cbrt (* 0.5 (* s c_n)))
88.0ms
(cbrt (* 0.5 (* s c_n)))
207.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify40.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0254456
1869410
25002362

prune189.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh224
Picked101
Done000
Total75479

Merged error: 1.0b

Counts
79 → 4

regimes414.0ms

bsearch9.8s

Steps
ItersRangePoint
8
2.703590242943542
1558.1114502043392
1062.9423532569451
6
1.0761465663171227e-129
5.690793995257063e-129
1.0901247291415457e-129