Details

Time bar (total: 2.5min)

sample1.8min

Algorithm
intervals
Results
3.7s548×body5120exit
730.0ms281×body1280overflowed
521.0ms2434×body80overflowed
400.0ms281×body640overflowed
111.0ms135×body320overflowed
92.0ms4004×pre80true
32.0ms249×body80valid
31.0ms69×body160overflowed
11.0msbody5120valid
4.0msbody2560valid
1.0msbody160valid
1.0msbody320valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.0b
(/ (* (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)))

rewrite76.0ms

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:
8.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
6.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
6.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) 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 (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
14.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
14.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
175.0ms
(/ (* (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)))

simplify99.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
09825948
131575704
250025704

prune272.0ms

Filtered
79 candidates to 279 candidates (-253.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2763279
Fresh000
Picked101
Done000
Total2773280

Merged error: 0b

Counts
280 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))
4.0ms
(* 0.5 (* s c_n))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 0.5 (* s c_p))
3.0ms
(* 0.5 (* s c_n))

simplify53.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune39.0ms

Filtered
22 candidates to 42 candidates (-90.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done000
Total42345

Merged error: 0b

Counts
45 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.020833333333333336 (pow t 3))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
2.0b
(/ (* (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)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
561×add-exp-log
315×prod-exp
265×pow-exp
249×div-exp
185×pow-to-exp
40×unpow-prod-down
38×*-un-lft-identity
33×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
18×add-cbrt-cube
12×associate-*r*
pow1 pow-unpow distribute-lft-out
cbrt-unprod
cbrt-undiv cube-prod associate-/r/ add-log-exp unswap-sqr sqr-pow
associate-*l* div-inv
pow-pow flip3-+ flip-+
cube-mult frac-2neg unpow3 clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 283
Calls
4 calls:
6.0ms
(* 0.020833333333333336 (pow t 3))
6.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
6.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
33.0ms
(/ (* (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)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 0.020833333333333336 (pow t 3))
14.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
14.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
192.0ms
(/ (* (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)))

simplify115.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
010435901
136395660
250015660

prune314.0ms

Filtered
87 candidates to 295 candidates (-239.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2950295
Fresh011
Picked011
Done011
Total2953298

Merged error: 0b

Counts
298 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 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)
1.2b
(/ (* (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)))

rewrite60.0ms

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:
8.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
5.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
8.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
32.0ms
(/ (* (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)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (neg t)))))
11.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
14.0ms
(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
199.0ms
(/ (* (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)))

simplify99.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
09212823
140302572
250032572

prune234.0ms

Filtered
72 candidates to 153 candidates (-112.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh000
Picked011
Done022
Total1533156

Merged error: 0b

Counts
156 → 3

regimes571.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1186

end0.0ms

sample41.6s

Algorithm
intervals
Results

Profiling

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