Details

Time bar (total: 2.6s)

analyze376.0ms (14.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
18.7%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14

sample29.0ms (1.1%)

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms211×body80invalid

simplify64.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050578

prune11.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.6b
(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 cosh-def prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l/
frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls

2 calls:

6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series42.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(/ (* (cosh x) (/ y x)) z)
16.0ms
(* (cosh x) (/ y x))

simplify53.0ms (2.1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05014570

prune109.0ms (4.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh011
Picked011
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.6b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
cbrt-undiv
associate-*l/
cosh-def
rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
associate-/r* add-log-exp
frac-times associate-*r/ un-div-inv *-commutative div-inv
frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls

3 calls:

9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)
8.0ms
(* (* (cosh x) y) (/ 1 x))
4.0ms
(* (cosh x) y)

series63.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

26.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)
19.0ms
(* (cosh x) y)
18.0ms
(* (* (cosh x) y) (/ 1 x))

simplify66.0ms (2.6%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04967814
14967814

prune121.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done011
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.7b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite19.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
pow1
cbrt-undiv frac-times cosh-def associate-*l/
associate-*r/ associate-*l* pow-prod-down
rec-exp 1-exp
*-commutative div-inv add-log-exp unswap-sqr
un-div-inv
Counts
2 → 84
Calls

2 calls:

9.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))
6.0ms
(* (cosh x) (/ y x))

series44.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))
16.0ms
(* (cosh x) (/ y x))

simplify45.0ms (1.7%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04994812
14994812

prune114.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh134
Picked101
Done112
Total92597

Merged error: 0b

Counts
97 → 5

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.8b
(/ (* (cosh x) (/ y z)) x)

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 cosh-def prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l/
frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls

2 calls:

7.0ms
(* (cosh x) (/ y z))
6.0ms
(/ (* (cosh x) (/ y z)) x)

series50.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(/ (* (cosh x) (/ y z)) x)
23.0ms
(* (cosh x) (/ y z))

simplify49.0ms (1.9%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04982574
14982574

prune68.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done011
Total66571

Merged error: 0b

Counts
71 → 5

regimes310.0ms (11.9%)

Accuracy

Total 0.5b remaining (85.9%)

Threshold costs 0.5b (85.9%)

bsearch55.0ms (2.1%)

Steps
ItersRangePoint
9
1.5621702725086824e-44
2.4765175041144695e-39
8.289021693904929e-41
9
-3.834764779207082e+60
-8.689850763645501e+51
-5.479021814815761e+53

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02225
12225

end0.0ms (0%)

sample816.0ms (31.4%)

Algorithm
intervals
Results
251.0ms8000×body80valid
245.0ms7480×body80invalid

Profiling

Loading profile data...