Details

Time bar (total: 3.1s)

sample92.0ms

Algorithm
intervals
Results
43.0ms703×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050578

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.6b
(/ (* (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
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 x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
30.0ms
(/ (* (cosh x) (/ y x)) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05014570

prune86.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh011
Picked101
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.2b
(/ 1 (* x (/ z (* (cosh x) y))))
6.4b
(* x (/ z (* (cosh x) y)))

rewrite28.0ms

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
9×times-frac
6×associate-*l* associate-/l*
4×rec-exp 1-exp add-log-exp
3×cosh-def pow-prod-down associate-*l/ associate-/r/ div-inv
2×pow-flip frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
7.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
9.0ms
(* x (/ z (* (cosh x) y)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ z (* (cosh x) y))
17.0ms
(* (cosh x) y)
31.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
28.0ms
(* x (/ z (* (cosh x) y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04949995
14949995

prune107.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh257
Picked011
Done000
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.3b
(* (/ 1 x) (* (cosh x) (/ y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*r/
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
Counts
2 → 83
Calls
2 calls:
12.0ms
(* (cosh x) (/ y z))
10.0ms
(* (/ 1 x) (* (cosh x) (/ y z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (cosh x) (/ y z))
48.0ms
(* (/ 1 x) (* (cosh x) (/ y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04996802
14996802

prune92.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh055
Picked011
Done011
Total88896

Merged error: 0b

Counts
96 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(/ y (* x (cbrt z)))
5.1b
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×associate-*r* associate-*l*
6×pow1 cbrt-prod
4×add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(/ y (* x (cbrt z)))
14.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt z)
22.0ms
(cbrt z)
18.0ms
(/ y (* x (cbrt z)))
35.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04922828
14922828

prune79.0ms

Filtered
66 candidates to 101 candidates (-53.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh055
Picked011
Done022
Total1018109

Merged error: 0b

Counts
109 → 8

regimes321.0ms

Accuracy

94.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.7b

bsearch40.0ms

Steps
ItersRangePoint
9
1.3255533529956195e+21
3.750542837275599e+27
8.583768275425656e+21
0
-1.2794981471393921e-34
-1.2262539855091779e-34
-1.252876066324285e-34

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02936
12936

end0.0ms

sample1.5s

Algorithm
intervals
Results
719.0ms22441×body80valid

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