Details

Time bar (total: 2.6s)

analyze348.0ms

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

sample31.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms232×body80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050578

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.1b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series55.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ y x))
32.0ms
(/ (* (cosh x) (/ y x)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04959631
14959631

prune99.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh101
Picked101
Done000
Total72779

Merged error: 0.0b

Counts
79 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.7b
(/ (cosh x) (* x (/ z y)))
5.2b
(* x (/ z y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/l* add-log-exp
2×cosh-def associate-*r/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
3 → 65
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(/ (cosh x) (* x (/ z y)))
7.0ms
(* x (/ z y))

series46.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cosh x)
34.0ms
(/ (cosh x) (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04969565
14969565

prune86.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh156
Picked011
Done000
Total74781

Merged error: 0.0b

Counts
81 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (cosh x) x)
5.6b
(/ (/ (cosh x) x) (/ z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
207×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv div-exp
3×pow1 add-log-exp
2×cosh-def frac-2neg clear-num associate-/l/
1×associate-/r/
Counts
3 → 251
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ (cosh x) x)
10.0ms
(/ (/ (cosh x) x) (/ z y))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
10.0ms
(/ (cosh x) x)
31.0ms
(/ (/ (cosh x) x) (/ z y))

simplify90.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049554324
149554324

prune218.0ms

Filtered
214 candidates to 260 candidates (-21.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2582260
Fresh145
Picked011
Done011
Total2598267

Merged error: 0b

Counts
267 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (exp x) (exp (neg x))) y)
0.0b
(+ (exp x) (exp (neg x)))
0.2b
(* x (* z 2))
7.0b
(/ (* (+ (exp x) (exp (neg x))) y) (* x (* z 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
13×prod-exp cbrt-unprod
11×pow1 *-un-lft-identity
9×add-sqr-sqrt
8×associate-*l*
7×add-cube-cbrt
6×cbrt-undiv div-exp add-log-exp
4×associate-*r* pow-prod-down associate-*l/
3×flip3-+ flip-+
2×cosh-undef *-commutative associate-/l/ distribute-lft-out
1×+-commutative frac-2neg times-frac clear-num associate-/r* sum-log div-inv associate-/l* unswap-sqr
Counts
4 → 80
Calls
4 calls:
7.0ms
(* (+ (exp x) (exp (neg x))) y)
4.0ms
(+ (exp x) (exp (neg x)))
4.0ms
(* x (* z 2))
10.0ms
(/ (* (+ (exp x) (exp (neg x))) y) (* x (* z 2)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (+ (exp x) (exp (neg x))) y)
4.0ms
(+ (exp x) (exp (neg x)))
4.0ms
(* x (* z 2))
23.0ms
(/ (* (+ (exp x) (exp (neg x))) y) (* x (* z 2)))

simplify27.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05193798

prune71.0ms

Filtered
57 candidates to 92 candidates (-61.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done022
Total928100

Merged error: 0b

Counts
100 → 8

regimes225.0ms

Accuracy

93.9% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.1b

bsearch55.0ms

Steps
ItersRangePoint
10
5.342490943876641e-68
3.776701321830239e-50
3.714762132724037e-50
8
-424730915.757632
-20172.632279961592
-249440.40205381697

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03731
13731

end0.0ms

sample823.0ms

Algorithm
intervals
Results
271.0ms8000×body80valid
248.0ms7153×body80invalid

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