Details

Time bar (total: 2.4s)

analyze342.0ms

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
8.0ms253×body80invalid
8.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050578

prune12.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
2.0ms
(cosh x)
10.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
32.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

simplify43.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04966520
14966520

prune77.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh101
Picked011
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (cosh x) x)
6.1b
(* (/ (cosh x) x) (/ y z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
31×times-frac
25×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l* add-log-exp
2×cosh-def
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
9.0ms
(/ (cosh x) x)
25.0ms
(* (/ (cosh x) x) (/ y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04969843
14969843

prune94.0ms

Filtered
74 candidates to 95 candidates (-28.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh145
Picked101
Done011
Total957102

Merged error: 0b

Counts
102 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y z))
6.0b
(/ (* (cosh x) (/ y z)) x)

rewrite17.0ms

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)
8.0ms
(* (cosh x) (/ y z))
6.0ms
(/ (* (cosh x) (/ y z)) x)

series52.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
21.0ms
(* (cosh x) (/ y z))
25.0ms
(/ (* (cosh x) (/ y z)) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04963635
14963635

prune81.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0b

Counts
84 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* y (cosh x))
0.3b
(/ 1 (* x z))
5.9b
(* (* y (cosh x)) (/ 1 (* x z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×add-cbrt-cube
31×prod-exp
14×pow1
13×cbrt-unprod
12×add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×cosh-def associate-*r/ associate-*l* add-log-exp
3×associate-/l*
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
4 → 97
Calls
4 calls:
1.0ms
(cosh x)
4.0ms
(* y (cosh x))
4.0ms
(/ 1 (* x z))
9.0ms
(* (* y (cosh x)) (/ 1 (* x z)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
12.0ms
(* y (cosh x))
2.0ms
(/ 1 (* x z))
25.0ms
(* (* y (cosh x)) (/ 1 (* x z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05013750

prune70.0ms

Filtered
58 candidates to 109 candidates (-87.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh044
Picked011
Done022
Total1097116

Merged error: 0b

Counts
116 → 7

regimes220.0ms

Accuracy

83.2% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.7b

bsearch54.0ms

Steps
ItersRangePoint
8
1.0525005083367094e-140
2.486208737661242e-137
1.451586002073307e-137
9
-893437.6483277159
-0.0191642243870777
-494.30008968649463

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02332
12332

end0.0ms

sample832.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid
250.0ms7366×body80invalid

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