Details

Time bar (total: 2.8s)

analyze332.0ms

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

sample46.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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
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)

series43.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05014570

prune73.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh011
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.1b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite22.0ms

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

series40.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
25.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04994812
14994812

prune76.0ms

Filtered
55 candidates to 90 candidates (-63.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh224
Picked011
Done011
Total91596

Merged error: 0b

Counts
96 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.9b
(/ (* (cosh x) (/ y z)) x)

rewrite15.0ms

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
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)

series45.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (cosh x) (/ y z))
25.0ms
(/ (* (cosh x) (/ y z)) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04982574
14982574

prune59.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done022
Total66571

Merged error: 0b

Counts
71 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.4b
(/ 1 (* x (/ z (* (cosh x) y))))
7.2b
(* x (/ z (* (cosh x) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*r*
10×cbrt-undiv cbrt-unprod
times-frac
associate-*l* associate-/l*
rec-exp 1-exp add-log-exp
cosh-def pow-prod-down associate-*l/ associate-/r/ div-inv
pow-flip frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
inv-pow
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
9.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
7.0ms
(* x (/ z (* (cosh x) y)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ z (* (cosh x) y))
15.0ms
(* (cosh x) y)
28.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
27.0ms
(* x (/ z (* (cosh x) y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04949995
14949995

prune80.0ms

Filtered
72 candidates to 118 candidates (-63.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done033
Total1185123

Merged error: 0b

Counts
123 → 5

regimes363.0ms

Accuracy

94.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02644
12644

end0.0ms

sample1.2s

Algorithm
intervals
Results
219.0ms8000×body80valid

Profiling

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