Details

Time bar (total: 2.5s)

analyze334.0ms

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

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms270×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050588

prune11.0ms

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: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series33.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05015445

prune84.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New50656
Fresh011
Picked011
Done000
Total50858

Merged error: 0.0b

Counts
58 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
6.5b
(* (/ (cosh x) x) (/ y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 78
Calls
2 calls:
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series38.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (cosh x) x)
29.0ms
(* (/ (cosh x) x) (/ y z))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04962780
14962780

prune107.0ms

Filtered
65 candidates to 84 candidates (-29.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh336
Picked011
Done101
Total85792

Merged error: 0b

Counts
92 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.5b
(/ (* (cosh x) (/ y z)) x)

rewrite16.0ms

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
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y z))
7.0ms
(/ (* (cosh x) (/ y z)) x)

series46.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (cosh x) (/ y z))
26.0ms
(/ (* (cosh x) (/ y z)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04971550
14971550

prune79.0ms

Filtered
47 candidates to 66 candidates (-40.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done011
Total66773

Merged error: 0b

Counts
73 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
7.1b
(* y (/ 1 (* x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×cosh-def un-div-inv associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 91
Calls
3 calls:
9.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
8.0ms
(* y (/ 1 (* x z)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (cosh x) (* y (/ 1 (* x z))))
3.0ms
(/ 1 (* x z))
5.0ms
(* y (/ 1 (* x z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04968677
14968677

prune74.0ms

Filtered
51 candidates to 100 candidates (-96.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done022
Total1007107

Merged error: 0b

Counts
107 → 7

regimes415.0ms

Accuracy

96.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06339
16339

end0.0ms

sample875.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid
258.0ms7302×body80invalid

Profiling

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