Details

Time bar (total: 13.5s)

sample2.6s

Algorithm
intervals
Results
1.7s252×body5120exit
555.0ms3213×body80overflowed
79.0ms3722×pre80true
29.0ms251×body80valid
7.0msbody2560valid
3.0msbody640valid
1.0msbody160overflowed
0.0msbody160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.0b
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
2.7b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite88.0ms

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
pow1 pow-unpow distribute-lft-out add-log-exp
cbrt-undiv associate-/r/ cbrt-unprod
div-inv
pow-pow flip3-+ flip-+ difference-of-squares sqr-pow
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 (neg t)))))
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
44.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series961.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
86.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
87.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
724.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify111.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
09825948
131575704
250025704

prune790.0ms

Filtered
279 candidates to 79 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2763279
Fresh000
Picked101
Done000
Total2773280

Merged error: 0.9b

Counts
280 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.5b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite69.0ms

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
pow1
add-log-exp
cbrt-unprod
cbrt-undiv associate-/r/
pow-unpow flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
associate-*r/ associate-*l/ div-inv difference-of-squares
distribute-rgt-in sub-neg flip3-- pow-pow frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative flip-- associate-/l* distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 141
Calls
4 calls:
9.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
5.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
36.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series1.2s

Counts
4 → 12
Calls
4 calls:
66.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
126.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
87.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
874.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify109.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09212823
140302572
250032572

prune748.0ms

Filtered
153 candidates to 72 candidates (52.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh022
Picked011
Done000
Total1524156

Merged error: 0.9b

Counts
156 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
4.0ms
(* 0.5 (* s c_p))
5.0ms
(* 0.5 (* s c_n))

series54.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* 0.5 (* s c_p))
29.0ms
(* 0.5 (* s c_n))

simplify59.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune69.0ms

Filtered
42 candidates to 22 candidates (47.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done011
Total42446

Merged error: 0.9b

Counts
46 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.0b
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
2.7b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

rewrite84.0ms

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
pow1 pow-unpow distribute-lft-out add-log-exp
cbrt-undiv associate-/r/ cbrt-unprod
div-inv
pow-pow flip3-+ flip-+ difference-of-squares sqr-pow
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 (neg s)))))
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
39.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

series1.0s

Counts
4 → 12
Calls
4 calls:
65.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
87.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
86.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
774.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))

simplify113.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
010115949
132795709
250015709

prune856.0ms

Filtered
279 candidates to 80 candidates (71.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2790279
Fresh011
Picked011
Done022
Total2794283

Merged error: 0.9b

Counts
283 → 4

regimes804.0ms

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05833
15833

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.4s367×body5120exit
842.0ms5012×body80overflowed
119.0ms5773×pre80true
42.0ms384×body80valid
10.0msbody2560valid
5.0msbody640valid
2.0msbody1280valid
1.0msbody160overflowed
0.0msbody160valid

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